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Physics Questions and Answers November 01, 2022

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A uniform circular disc of mass 50 kg and radius 0.4 m is rotating with an angular velocity of 10 rad s about its own axis, which is vertical. Two uniform circular rings, each of mass 6.25 kg and radius 0.2 m, are gently placed symmetrically on the disc in such a manner that they are touching each other along the axis of the disc and are

Two bodies, each of mass M, are kept fixed with a separation 2L. A particle of mass m is projected from the midpoint of the line joining their centres, perpendicular to the line. The gravitational constant is G. The correct statement(s) is (are) (A) The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is

A particle of mass m is attached to one end of a massless spring of force constant k, lying on a frictionless horizontal plane. The other end of the spring is fixed. The particle starts moving horizontally from its equilibrium position at time t0 with an initial velocity uo. When the speed of the particle is 0.5 up. It collides elastically with a

A steady current I flows along an infinitely long hollow cylindrical conductor of radius R. This cylinder is placed coaxially inside an infinite solenoid of radius 2R. The solenoid has n turns per unit length and carries a steady current I. Consider a point P at a distance r from the common axis. The correct statement(s) is (are) (A) In the region

Two vehicles, each moving with speed u on the same horizontal straight road, are approaching each other. Wind blows along the road with velocity w. One of these vehicles blows a whistle of frequency f. An observer in the other vehicle hears the frequency of the whistle to be f. The speed of sound in still air is V. The correct statement(s) is

Using the expression 2d sin0 2, one calculates the values of d by measuring the corresponding angles 0 in the range 0 to 90. The wavelength is exactly known and the error in 0 is constant for all values of 0. As 0 increases from 0, (A) the absolute error in d remains constant. (C) the fractional error in d remains constant. (B) the absolute error

Two nonconducting spheres of radii R and R and carrying uniform volume charge densities p and p, respectively, are placed such that they partially overlap, as shown in the figure. At all points in the overlapping region, (A) the electrostatic field is zero (B) the electrostatic potential is constant (C) the electrostatic field is constant in

The figure shows the variation of specific heat capacity (C) of a solid as a function of temperature (T). The temperature is increased continuously from 0 to 500 K at a constant rate. Ignoring any volume change, the following statement(s) is (are) correct to a reasonable approximation. (A) the rate at which heat is absorbed in the range 0100 K

The radius of the orbit of an electron in a Hydrogenlike atom is 4.5 ao where ao is the Bohr radius. Its 3h orbital angular momentum is It is given that h is Plancks constant and R is Rydberg constant. The 2 possible wavelength(s), when the atom deexcites, is (are) 9 (A) (B) (C) 16R 9 32R 9 5R (D) 4 3R

A small block of mass 1 kg is released from rest at the top of a rough track. The track is circular arc of radius 40 m. The block slides along the track without toppling and a frictional force acts on it in the direction opposite to the instantaneous velocity. The work done in overcoming the friction up to the point Q, as shown in the figure,

A thermal power plant produces electric power of 600 kW at 4000 V, which is to be transported to a place 20 km away from the power plant for consumers usage. It can be transported either directly with a cable of large current carrying capacity or by using a combination of stepup and stepdown transformers at the two ends. The drawback of the direct

A point Q is moving in a circular orbit of radius R in the xy plane with an angular velocity. This can be Qo considered as equivalent to a loop carrying a steady current . A uniform magnetic field along the positive zaxis 2 is now switched on, which increases at a constant rate from 0 to B in one second. Assume that the radius of the orbit remains

The mass of nucleus X is less than the sum of the masses of (AZ) number of neutrons and Z number of protons in the nucleus. The energy equivalent to the corresponding mass difference is known as the binding energy of the nucleus. A heavy nucleus of mass M can break into two light nuclei of mass m, and my only if (m m) M. Also two light nuclei of

A right angled prism of refractive index is placed in a rectangular block of refractive index , which is surrounded by a medium of refractive index 3, as shown in the figure. A ray of light e enters the rectangular block at normal incidence. Depending upon the relationships between , and 3, it takes one of the four possible paths ef, eg, ch, or

Match List I with List II and select the correct answer using the codes given below the lists List I List II P. Boltzmann Constant MLT Q. Coefficient of viscosity R. Plank Constant MLT MLT K S. Thermal conductivity MLTK Codes P (A) 3 (B) 3 (C) (D) 4 4 Q 1 2 2 1 R 2 1 1 2 S S4433 4 1. 2. 3. 4.

32P One mole of monoatomic ideal gas is taken P along two cyclic processes EFGE and E FH E as shown in the PV diagram. The processes involved are purely isochoric, isobaric, isothermal or adiabatic. List I GE P. Q. G H R. FH S. FG Codes Match the paths in List I with the magnitudes of the work done in List II and select the correct answer using

Match List I of the nuclear processes with List II containing parent nucleus and one of the end products of each process and then select the correct answer using the codes given below the lists List I P. Alpha decay Q. B decay R. Fission S. Proton emission Codes P 4 (A) (B) 1 2 4 (C) (D) 02313 Q R 1 2 4 2 S S3431 4 1. 2. 3. 4. List II 15

A system is initially in the State 172 3 1 1 where are eigenstates of the systems Hamiltonian Such that H n2 epsilon (a) If Energy is measured, what values will be with what probabilities obtained and (b) Consider an operator A whose action. is defined by A 142 (51) 9. If A is measured, what Values will be obtained and with what probabilities

A particle of mass M decays at rest into two particles that move off in opposite directions. One of the decay particles has a mass m and total energy E and the second decay particle has a mass of m2 and total energy E2. (a) In terms of M, m and m show that the total energies of the two decay particles are given by the expressions E E (M m m) c

Consider a hypothetical unstable particle of mass M which decays into two identical particles of mass m. Work out the dynamics of this interaction by answering below questions. When you plug in the numbers, use the hypothetical masses M 1000 MeVc and m 100 MeVc. (a) Consider the interaction in the centerofmomentum frame, where the total momentum

The neutral pion has a mass m, 135 MeVc and a lifetime 8.4 x 107 s. It is made of an up quark and an up antiquark or alternatively of a down quark and a down antiquark. Its main decay channel is via the emission of 2 photons y y. Which interaction is responsible for this decay Justify your answer in 1 one sentence. 2 Using energymomentum

The solid angle subtended by the sun equals the fraction of the area of the imaginary sphere centered on earth and passing through the sun, that is occupied by the solar disk, times 47 steradians. Since the sun subtends a small solid angle, we can approximate its disk area with R and so 4x (R4d) Rd. 1. Calculate the solid angle subtended by the

Suppose that the lower half of the concave mirrors reflecting surface in Fig. 9.5 is covered with an opaque (nonreflective) material. What effect will this have on the image of an object placed in front of the mirror

A mobile phone lies along the principal axis of a concave mirror, as shown in Fig. 9.7. Show by suitable diagram, the formation of its image. Explain why the magnification is not uniform. Will the distortion of image depend on the location of the phone with respect to the mirror

An object is placed at (i) 10 cm, (ii) 5 cm in front of a concave mirror of radius of curvature 15 cm. Find the position, nature, and magnification of the image in each case.

Suppose while sitting in a parked car, you notice a jogger approaching towards you in the side view mirror of R 2 m. If the jogger is running at a speed of 5 m s, how fast the image of the jogger appear to move when the jogger is (a) 39 m, (b) 29 m, (c) 19 m. and (d) 9 m away.

Light from a point source in air falls on a spherical glass surface (n 1.5 and radius of curvature 20 cm). The distance of the light source from the glass surface is 100 cm. At what position the image is formed

If f 0.5 m for a glass lens, what is the power of the lens (ii) The radii of curvature of the faces of a double convex lens are 10 cm and 15 cm. Its focal length is 12 cm. What is the refractive index of glass (iii) A convex lens has 20 cm focal length in air. What is focal length in water (Refractive index of airwater 1.33, refractive index for

The far point of a myopic person is 80 cm in front of the eye. What is the power of the lens required to enable him to see very distant objects clearly (b) In what way does the corrective lens help the above person Does the lens magnify very distant objects Explain carefully. (c) The above person prefers to remove his spectacles while reading a

The near point of a hypermetropic person is 75 cm from the eye. What is the power of the lens required to enable the person to read clearly a book held at 25 cm from the eye (b) In what way does the corrective lens help the above person Does the lens. magnify objects held near the eye (c) The above person prefers to remove the spectacles while

The probability for transmission of a particle of mass m and energy E through a thin potential barrier of width 4x and constant potential Vo may be expressed as P exp(2uAx) where a 2m(V. E)h. Use this fact to show that the tunnelling probability T of a particle of mass m and energy E, through a potential barrier of arbitrary shape described by

A potential barrier is defined by (vL) x for 0xL V(x) for x 0 and xL A particle of mass m, and energy E Vo2, travelling in the positive xdirection, is incident on this barrier. Sketch this potential barrier. Calculate the classically forbidden region and indicate it on your drawing.

Use the expression derived in part (a) and the integral given below, to find the transmission probability T for this potential and show that it is equal to L IN(T) 2mV221n(12).

Evaluate the expression for T numerically for an electron incident on this barrier with L 1.0 nm and V 5 eV. b Useful information (x a) dx 1x(x a) 12 a inx (x a) a log, (a)log, (b) log, (ab) log, (a)log, (b) log (ab)

Problem: What is the equilibrium concentration of vacancies at 850K in Cu?

Explain Dark Electrical Discharges in Gases with the help of Graphs and Construction Apparatus?

Using Thevenins theorem, find the equivalent circuit to the left of the terminals in the circuit in Fig. 4.30. Then find i.

A positively charged particle projected towards east, is deflected towards north by a magnetic field. The direction of the magnetic field will be 1) Upward 2) Downward 3) South 4) North

Is it true that a barometer is used for forecasting weather Options 1) True 2) False

An electron moving to the east in a horizontal plane is deflected towards south by a magnetic field. The direction of this magnetic field will be Options 1) Downward 2) Upward 3) Towards north 4) Towards south

A rectangular loop carrying current is left on a wire so that one side of the loop is parallel to the wire. If the current flow in the wire and the loop are in the same direction. The loop will Options 1) Rotate about one of its sides 2) Move toward the wire 3) Move away from the wire 4) Remains stationary

Which of the following is used to assess the current direction in a moving conductor when it is placed in a magnetic field Options 1) Maxwells righthand principle 2) Ohms law 3) Flemings righthand rule 4) Flemings lefthand rule

In the shown diagram, two coils are wounded on a nonconducting cylindrical rod. Initially, the switch is not on later, the switch is on and then off. What will be the effect on the galvanometer HH (0) Options 1) There will be no deflection in the galvanometer 2) Galvanometer deflection will die out shortly 3) The galvanometer will show momentary

The direction of current induced by the moving conductor in a magnetic field is assessed by Options 1) Maxwells righthand rule 2) Flemings righthand rule 3) Flemings lefthand rule 4) Ohms law

Is it true that the magnetic field created by the straight wire carrying current is inversely proportional to the distance from the wire Options 1) True 2) False

Is it true that a currentcarrying conductor experiences a force if placed in a magnetic field Options 1) True 2) False

If a sports car speeds up from 4.3 ms to 26.1 ms in 3.61 seconds, then what is its acceleration value (in mss). Acceleration mss

0.5 kg ball is rolling with an initial velocity of 2 m/s on a flat surface with no friction. If a constant force of 5 N is applied to the ball in the opposite direction of its motion for 3 seconds, what will be the final velocity of the ball?

A 2 kg block is resting on a frictionless surface. A constant force of 10 N is applied to the block for 5 seconds. According to Newton's first law of motion, what will be the final velocity of the block?

According to Newton's first law of motion, an object at rest will remain at rest unless acted upon by an unbalanced force. If a stationary object has a force applied to it, what will happen to its motion?

Calculate thickness of calcite plate which con verts PPL Into CPL the crefractive indices are length of light M0 1.658 and dle 1.486 at wave used 5890 A

A 38-year-old woman has had nausea for the past 6 months. She reports no vomiting or diarrhea. On physical examination, there are no remarkable findings. Upper gastrointestinal endoscopy shows diffuse gastric mucosal erythema with focal mucosal erosions, but no ulcerations. The esophageal and duodenal mucosal surfaces appear normal. Microscopic

An alternating current I Io cos(wt) flows down a long straight wire, and returns along a coaxial conducting tube of radius R. a) In what direction does the induced electric field point (radial, circumferential, or longitudinal) in the quasistatic regime b) Assuming that the field goes to zero as p , find (p,t). c) Find the displacement current

During the class we studied the complex notation. We noted that we need to be careful when we compute something which is not linear in E and B. Yet, there is a clever device for finding the time average of a product. Suppose f(F, t) A cos(kFwtda) and g(F, t) B cos(krwt 8b). a) Show that (fg) (12) Re(fg), where the star denotes complex

Consider an electric field of a wave propagating in vacuum, E Epe(hwt)KI a) How are the real parameters h, K, and w related to one another b) Find the associated magnetic field B. c) Under what conditions is the polarization of the magnetic field close to circular d) Compute the timeaveraged Poynting vector.

From the equations VE0, VXE write down the electric field as an integral in terms of time derivative of B. Hint First write down the BiotSavart solution for VB 0, V x B HoJ. And then compare the mathematical expressions to write down the solution. b) Similarly, from the equations VA0, VX B, write down the vector potential A as an integral in

A spherical shell, of radius R, carrying a uniform surface charge o, is set spinning at angular velocity w(t). Find the vector potential it produces at point x as

A source EM radiation strikes a sheet of iron with work func tion W 4.5 eV. The stopping voltage required to bring all the ejected electrons to a halt is measured to be V 3.0 V. If this same source of EM radiation were to strike a sheet of calcium with work function W 2.9eV, what would be the maximum speed of the ejected electrons For the

A car of mass m travels on a flat, circular track of radius r with a constant speed v. What is the centripetal force acting on the car? Part B: What is the relationship between the centripetal force and the velocity of the car? Part C: What is the relationship between the centripetal force and the radius of the circular track? Part D: If the car's

A metal sphere with a radius of 0.1 m is placed in a uniform electric field of magnitude 5000 N/C. The sphere has a charge of 1 C. Assume that the electric field is in the positive x-direction. A) Calculate the electric force on the sphere. B) Calculate the electric potential at a distance of 0.1 m from the center of the sphere. C) Determine the

A car of mass 1000 kg is moving along a straight, flat road at a constant speed of 20 m/s. Suddenly, the driver applies the brakes, causing the car to decelerate uniformly at a rate of 5 m/s^2. The coefficient of kinetic friction between the tires and the road is 0.4. A) What is the net force acting on the car while it is moving at a constant

Explain the concept of quantum entanglement and how it relates to the principle of superposition. Part B: What is the mathematical formulation of a qubit in terms of Dirac notation? Part C: Discuss the quantum circuit model and how it can be used to manipulate qubits? Part D: How does the Deutsch-Jozsa algorithm demonstrate the advantage of

What is nuclear fusion and how does it differ from nuclear fission? Part B: What are the challenges associated with achieving controlled nuclear fusion reactions? Part C: What are the potential benefits of nuclear fusion as a source of energy? Part D: Can nuclear fusion be achieved at room temperature? Part E: How does the Lawson criterion relate

What is parametric amplifier?explain fully.

A silicon pn junction diode is doped NA 2E15 cm3 and ND 2E17 cm3. At the temperatoure of operation ni 1 1010 cm3. The crosssectional area of the diode is 104 cm2. The diffusion constants and recombination times are Dn 20 cm2s, Dp 10 cm2s, tn 7 x 107 s, and tp 5 x 107 s. What is the reverse saturation current of this diode

what is electric potential

How any to borm Ic electrons combine

The work function of barium and tungsten are 2.5 eV and 4.2 eV, respectively. Check whether these materials are useful in a photocell, which is to be used to detect visible light.

Determine the ionization energy of the He ion. Also calculate the minimum frequency a photon must have to cause ionization.

Obtain the group multiplication table of symmetry of square.

The length of the space vehicle is 100 m on the ground. When it is in flight, its length as observed on the ground is 99 m. Calculate its speed. soilooly to

A 150 hp, 200 V, 1,500 rpm shunt dc motor with compensating windings has an armature resistance (which includes the brushes, compensating windings, and inter-poles) of 0.04 V. Its field circuit has a total Rajus + RF resistance of 60 V, which produces a no-load speed of 1,500 rpm. There are 2000 turns per pole in the shunt field winding. Construct

A sole owner (without employees) of a contracting firm was performing maintenance and repair work for a cork processing company. He was working on the motor for a Nu Vac 480-volt, 14.9-kilowatt pneumatic roof-mounted conveyor system. He found the motor to be running roughly. As he was examining it, the motor tripped the electric starter. He went

In pion nucleon scattering, the pion and nucleon can combine to form a short lived bound state called the A particle (NA). The masses of the pion, nucleon and the A particle are 140 MeV, 938 MeVe and 1230 MeVe, respectively. In the lab frame, where the nucleon is at rest, what is the minimum energy (in MeVe, rounded off to one decimal place) of

A slow moving particle is captured by a deuteron (d) and this reaction produces two neutrons (n) in the final state, i.e., nd n 1. Neutron and deuteron have even intrinsic parities, whereas 7 has odd intrinsic parity. L and S are the orbital and spin angular momenta, respectively of the system of two neutrons. Which of the following statements

The atomic number of an atom is 6 What is the spectroscopic notation of its ground state, according to Hinds rules 3 Po 3 P 3D3 35

An atom with nonzero magnetic moment has an angular momentum of magnade 12h When a beam of such atoms is passed through a Sten Gerlach apparans, how many beams does it split into 3 7 9 25

Different spectral lines of the Balmer tenet (transitions 2, with it being the principal quantum number) fall one at a ame on a Yomgs double slit apparans The separation between the shrs is df and the screen is placed at a constant distance from the slits What factor should d be mailuphed by to maintain a constant fringe width for vanous lines, as

let a particle of mass m be confined in particle of asymmetric potential well of length a in the figure below shown Q. Let a Paturbation Find Vo m 8 9

Show that the set binary operation of under the 1, , 1 group. multiplication,

A crate of 68 kg simply stands on the moving cart with constant acceleration a. The height from the center of gravity to the cart, L, is 1.5 m, and the angle 13. What is the maximum acceleration a (in ms) the cart can have without tipping over on the cart The coefficient of static friction between the crate and the cart is g 0.49. Please pay

A beam of uniform rectangular cross.section is to be cut from a log having a circular cross section of diameter 2a. The beam has to be used as a cantilever beam (the length is fixed) to carry a concentrated load at the free end. Find the dimensions of the beam that correspond to the maximum tensile (bending) stress carrying capacity. Using Direct

In the following neural networks, the input may fluctuate in the range between [-5 to 5]. The transfer functions in the hidden layer and the transfer function in the output node are Hyperbolic Tangent (TanH). Assuming that the current value of the inputs are A= 2 and B= -2, calculate the value of the output X. Note the bias value of "1" at one of

Integrate f(x, y, z) 4xz over the region in the first octant (x, y, z 0) above the parabolic cylinder z y and below the paraboloid z 8 2x y Answer

What is the speed of light in a vacuum? What is the formula for calculating gravitational force between two objects? What is the first law of thermodynamics? What is the difference between mass and weight? What is the principle of conservation of momentum? What is the concept of electric charge?

A 17 ft ladder is leaning against a wall. If the bottom of the ladder is pulled along the ground away from the wall at the constant rate of 5 ftsec, how fast will the top of the ladder be moving down the wall when it is 8 ft above the ground

A balloon leaving the ground 60 feet from an observer, rises vertically at the rate 10 ftsec. How fast is the balloon receding from the observer after 8 seconds

A man on a wharf of 20 feet above the water pulls in a rope, to which a boat is attached, at the rate of 4 ftsec. At what rate is the boat approaching the wharf when there is 25 feet of rope out

Water is flowing into a conical reservoir 20 feet deep and 10 feet across the top, at the rate of 15 ftmin . Find how fast the surface is rising when the water is 8 feet deep

Water is flowing into a vertical tank at the rate of 24 ftmin. If the radius of the tank is 4 feet, how fast is the surface rising

A triangular trough is 10 feet long, 6 feet across the top, and 3 feet deep. If water flows in at the rate of 12 ftmin, find how fast the surface is rising when the water is 6 inches deep

A train, starting at noon, travels at 40 mph going north. Another train, starting from the same point at 200 pm travels east at 50 mph . Find how fast the two trains are separating at 300 pm.

A billboard 10 feet high is located on the edge of a building 45 feet tall. A girl 5 feet in height approaches the building at the rate of 3.4 ftsec. How fast is the angle subtended at her eye by the billboard changing when she is 30 feet from the billboard

A picture 40 cm high is placed on a wall with its base 30 cm above the level of the eye of an observer. If the observer is approaching the wall at the rate of 40 cmsec, how fast is the measure of the angle subtended at the observers eye by the picture changing when the observer is 1 m from the wall

A statue 10ft. high is standing on a base 13ft. high. If an observers eye is 5ft. above the ground, how far should he stand from the base in order that the angle between his lines of sight to the top and bottom of the statue be a maximum

A simple pendulum has time period of 2s. It is called second pendulum. Find the length o second pendulum of Earth and on Moon (gm g6 1.6ms)

8 particles (spin particle) find the ground state Energy 1D potential Bux for particle

Find graph for probability clensity of ground state Wave functionela. for Hatom

A plane electromagnetic wave with the electric field by E 60 cos (kzcot) is incident normally from air on a medium characterized by permitivity 4, and permeability .. The electric field of the reflective wave is O 10 cos (kz cot) x 20 cos (kz cot) x 20 cos (kz cot) x O10 cos (kzwot) x

Magnetic field in a region varies with time B Btk. Which of the following represents induced electric field in the region,Bzk Bk (x y) (y)