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Physics Questions and Answers October 07, 2022

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Monochromatic sources L1 and L2 emit light at 600 and 700 nm, respectively. If the frequency band widths are 101 103 GHz, then the ratio width of L1 And L2 is approximate a) 1001 b) 185 () 751 d 175

In the ListI below, four different paths of a particle are given as functions of time. In these functions, a and 3 are positive constants of appropriate dimensions and a . In each case, the force acting on the particle is either zero or conservative. In ListII, five physical quantities of the particle are mentioned p is the linear momentum, L is

The potential energy of a particle of mass m at a distance r from a fixed point O is given by V (r) kr2, where k is a positive constant of appropriate dimensions. This particle is moving in a circular orbit of radius R about the point O. If v is the speed of the particle and L is the magnitude of its angular momentum about O, which of the

Consider a body of mass 1.0 kg at rest at the origin at time t 0. A force F (at B) is applied on the body, where a 1.0Ns and B1.0N. The torque acting on the body about the origin at time t 1.0 s is 7. Which of the following statements is (are) true 1 (A) FNm (B) The torque 7 is in the direction of the unit vector k 1 (C) The velocity of the

A uniform capillary tube of inner radius r is dipped vertically into a beaker filled with water. The water rises to a heighth in the capillary tube above the water surface in the beaker. The surface tension of water is o. The angle of contact between water and the wall of the capillary tube is 0. Ignore the mass of water in the meniscus. Which of

In the figure below, the switches S and S are closed simultaneously at t 0 and a current starts to flow in the circuit. Both the batteries have the same magnitude of the electromotive force (emf) and the polarities are as indicated in the figure. Ignore mutual inductance between the inductors. The current I in the middle wire reaches its maximum

The intensity distribution of a red led on an absorbing layer of material is a Gaussian centred at the wavelength o 660nm width 20nm. If the absorption coefficent vasies with wavelength as xoK(Ato) where Lofk are the constants, the light emerging from the observer will as a) Blue shifted retaining the gausian intensity distribution.,Blue

This is where the fun begins. Anakin Skywalker pilots a Jedi starfighter in Earths atmosphere (with Earth gravity acting) as shown and completes in a vertical circle. At the bottom of the circle, Anakin feels a normal force of 990 N acting on him from his pilot chair and is traveling at 220 ms at this point. Anakin has a mass of 25 kg. a) On the

Two infinitely long straight wires lie in the xyplane along the lines x R. The wire located at x R carries a constant current I, and the wire located at x R carries a constant current I2. A circular loop of radius R is suspended with its centre at (0, 0, 3R) and in a plane parallel to the xyplane. This loop carries a constant current I in the

One mole of a monatomic ideal gas undergoes a cyclic process as shown in the figure (where V is the volume and T is the temperature). Which of the statements below is (are) true (A) Process I is an isochoric process (C) In process IV, gas releases heat II IV III V (B) In process II, gas absorbs heat (D) Processes I and III are not isobaric

Two vectors A and B are defined as A a and B a(cost sin ootj), where a is a constant and 6 rad s. If B 34B at time t t for the first time, the value of t, in seconds, is

Two men are walking along a horizontal straight line in the same direction. The man in front walks at a speed 1.0 ms and the man behind walks at a speed 2.0 ms. A third man is standing at a height 12 m above the same horizontal line such that all three men are in a vertical plane. The two walking men are blowing identical whistles which emit a

A ring and a disc are initially at rest, side by side, at the top of an inclined plane which makes an angle 60 with the horizontal. They start to roll without slipping at the same instant of time along the shortest path. If the time difference between their reaching the ground is (23)10 s, then the height of the top of the inclined plane, in

A springblock system is resting on a frictionless floor as shown in the figure. The spring constant is 2.0 Nm and the mass of the block is 2.0 kg. Ignore the mass of the spring. Initially the spring is in an unstretched condition. Another block of mass 1.0 kg moving with a speed of 2.0 m s collides elastically with the first block. The collision

Three identical capacitors C, C and C3 have a capacitance of 1.0 F each and they are uncharged initially. They are connected in a circuit as shown in the figure and C, is then filled completely with a dielectric material of relative permittivity. The cell electromotive force (emf) Vo 8V. First the switch S, is closed while the switch S is kept

consider the Hydrogendeuterium molecule HD. If the mean distance between the atoms is 0.08 nm. and the mass of Hydrogen atom is 938 Mevlc2, then the energy difference E between the two lowest rotational states is approximately a) 101ev b) 102 ev C) 2x102ev d) 103 ev

In the xyplane, the region y 0 has a uniform magnetic field Bk and the region y 0 has another uniform magnetic field Bk. A positively charged particle is projected from the origin along the positive yaxis with speed voms at t 0, as shown in the figure. Neglect gravity in this problem. Let t T be the time when the particle crosses the xaxis from

Sunlight of intensity 1.3 kWm2 is incident normally on a thin convex lens of focal length 20 cm. Ignore the energy loss of light due to the lens and assume that the lens aperture size is much smaller than its focal length. The average intensity of light, in kW m2, at a distance 22 cm from the lens on the other side is

Two conducting cylinders of equal length but different radii are connected in series between two heat baths kept at temperatures T 300 K and T 100 K, as shown in the figure. The radius of the bigger cylinder is twice that of the smaller one and the thermal conductivities of the materials of the smaller and the larger cylinders are K and K

In electromagnetic theory, the electric and magnetic phenomena are related to each other. Therefore, the dimensions of electric and magnetic quantities must also be related to each other. In the questions below, E and B stand for dimensions of electric and magnetic fields respectively, while and 0 stand for dimensions of the permittivity and

If the measurement errors in all the independent quantities are known, then it is possible to determine the error in any dependent quantity. This is done by the use of series expansion and truncating the expansion at the first power of the error. For example, consider the relation z xy. If the errors in x,y and z are Ax, Ay and Az, respectively,

If the measurement errors in all the independent quantities are known, then it is possible to determine the error in any dependent quantity. This is done by the use of series expansion and truncating the expansion at the first power of the error. For example, consider the relation z xy. If the errors in x,y and z are Ax, Ay and Az, respectively,

If the leading an harmonic correction to the energy of the nth vibrational level of a diatomic. molecule is xe (n12)2kw with xe 0.001, the total number of energy levels possible is approx. a) 500 b) 1000 () 250 d) 750

in Assassins Creed Valhalla the main character, Elvor, often throws axes at people, causing the axe to spin through the air. When Eivor throws an axe she applies a torque of 79.7 Nm. A) If the axe has a moment of inertia of 5.57 kgm. what is the angular acceleration of the axe as it is thrown B) To throw the axe, Eivor applies that acceleration

A series R-C combination is connected to an AC voltage of angular frequency ?=500 radian/s. If the impedance of the R-C circuit is R?1.25 the time constant (in millisecond) of the circuit is (a) 1 (b) 2 (c) 3 (d) 4

A diatomic molecule has vibrational states with energies Evtw (v12) and rotational states with energies Ej BJ(J1), where V and J are nonnegative integers. Consider the transitions in which both the initial final states are restricted to V

A laser operating at 5oo nm is used to excite a molecule. If the stokes line is observed at 770 cm, the approximate positions of the states stokes the anti stokes lines are a) 481 5 nm 4 S20nm. c) Soo nm 4 620nm by 481.5 nm 4 Soonm d) Soonm 4 600 cm

L TE,Use the equation for acceleration during circular motion Fmv2r and the equation for graviational acceleration to express the speed if an object in circular motion in terms of the large mass M(red in the GIF), the small mass m(blue in the GIF), the magnitude of the relative position, and Newtons constant G. From the speed you found in Problem,

A particle of mass m moves inside a bowl. If the surface of the bowl is given by the ean z 12a (x2 y2) a constant the Lagrangian of the particle is

The Lagrangian of a particle moving in a plane is given by Lxyx2y2 In Polar coordinates the expression for the canonical momentum pr is

If the Lagrangian of a particle moving in one dimensional is given by L 12X x2 V(x) the Hamiltonian is

The Hamiltonian of a simple pendulum consisting of mass m attached to a massless string of length l is p022ml2 mgl(1cosO) If L denotes the value of dldt is

The Hamiltonian of a relativistic particle of rest mass m and momentum p is given by H b2m 2 v(x) in units in which the speed of light C1. The Corresponding Lagrangian is a) Lm 1x2 v(x) b) Lm 1x2v(x) c) L1mx2v(x) d) L12mx2v(x).

A particle of mass m and coordinate q has the Lagrangian L12mq22qq2 . Then corresponding Hamiltonian is

A system is governed by the Hamiltonian H 12(pxay)2 12(pybx)2 for what values of a b will the quantities (Px3y) (Py2x) are conserved.

People with good hearing can perceive sounds as low in level as 8.00 dB at a frequency of 3000 Hz. What is the intensity of this sound in watts per meter squared

When poked by a spear, an operatic soprano lets out a 1200Hz shriek. What is its wavelength if the speed of sound is 345 ms

let q p be the canonical coordinates f momentum of dynamical system, which of the following transformations is canonical.

A mechanical system is described by the Hamiltonian H p22m 12 mu2 q2. As a result of the canonical transformation generated by F(q,0) Q9, the Hamiltonian in the coordinate momentum P becomes

Suppose you have a 9.00 V battery, a 2.00 uF capacitor, and a 7.40 F capacitor. (a) Find the charge and energy stored if the capacitors are connected to the battery in series. (b) Do the same for a parallel connection.

A canonical transformation (p,q) (P,0) is performed on the Hamiltonian H p22m12mu2q2 via the generating function (f) 1mu q2 cot 0 If Q(0)0, which of the following graphs shows schematically the dependence of Q(t) on t

A particle of mass m is at the stable equilibrium position of its potential energy U(x) axbx3 The minimum velocity that Ras to be imparted to the particle to render its motion unstable is

A planet of mass m angular momentum L moves in a circular orbit in a potential v(r)kr.If it is slightly perturbed radially, the angular frequency of Radial oscillation is

The Lagrangian of a system is L 12mq22mq22k(54q122q222q1q2) the frequencies of its normal modes are

The trajectory on the zp2plane (Phasespace trajectory) of a ball bouncing perfectly elastically off a hard surface at z0 is given by approximate (neglect friction)

Ques The Lagrangian of a free relativishic particle (in 1Dimension) of mass m is given by Lm ST12 where x dxdt If such a particle is acted upon by a constant force in the direction of its motion, the PST obtained from the corresponding Hamiltonian are b) cycloid a) ellipse c) Hyperbola d Parabola.
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A particle moves in one dimension in potential V(x) k2 x4 w2 x2 which of the following curves best describes the trajectories of this system in phase space

A constant force F is applied to a relativist particle of rest mass m. If the particle starts from rest at t0, its speed after a time t is

what is the proper time interval between the occurrence of two events, if in one inertial frame the events are separated by 1.5 X 105 km f occurs 6.5s apart

Consider a particle of mass m moving with a speed U. If Tr denotes the relativist t Kinetic energy Tr denotes the nonrelativistic K.E approximation, then the value as (TrTnTr) for v0.01c.

For a particle of energy E and momentum p (in frame f), the rapidity y is defined as y 12ln(Ep3cEp3c) In Prame f moving with velocity v (0,0,BC) w.r. f, the rapidity y will be

1gm of salt is dissolved in water that is filled to a height of 5cm in a beaker of diameter loom. The accuracy of length measurement 0.01cm while that of mass measurement is o.o1mg. when measuring the concentration c, the fractional error scc is

The first order diffraction beak of a crystalline solid occurs at a scattering angle of 30 degree when the diffraction pattern is recorded using an XRay beam of wavelength 0.15nm. If the error in the measurements of wavelength and angle are 0.01nm and 1degree respectively, then the error in calculating error in inter planer spacing will be approx

For the given expression F(A, B, C, D, E) A DE Find no. of maxterms minterms

Determine the content after 373 clock Pulse

For the giren CKT diagram shown , Determine the content of Register after 3 clock Pulse

In reference to the Table below Day 1 Rainfall, mm 11 Water added, mm 5 23.4 16.5 23.8 19.0 2 8 3 None of the choices 3 13 0 Determine the water lost from the lake in ham, if the pan coefficient is 0.7 and the area of the lake is 430 ha. 4 5 0 5 9 7 6 11 4 7 0 3

A differential amplifier has a differential gain of 20,000 CMRR 80dB. The common mode gain is given by

Determine the voltage gain, input resistance, Output resistance and bandwidth for the CKT shown

Determine the output of the given circuit

Determine output voltage and gain of the given circuit below

In the following circuit for the output voltage to Vo(V1V2V2) the ratio R1R2 is

In the OPAMP circuit shown in the figure Vin is a sinusoidal input signal of frequency 10 Hz and Vo is the output signal. The magnitude Phase shift of gain, respectively, are close to the values

A time varying signal Vin is fed to an OPAMP circuit with output signal Vo as shown in the figure below. The circuit implements a

In circuit of given figure that diodes are ideal and ammeter is an average indicating A then ammeter will read

For the given zener regulator circuit shown determine the range R assume load current IL 10 mA, Iz I mA

Determine the Range R for the given circuit shown. Assume the breakdown voltage VBR6V. knee current Imin 5mA. Assume load current varies from 100mA 5oomA. So that, it maintain a constant output voltage of 6V.

In the voltage regulator shown in figure, the load current can be vary from (100500) mA assuming that zener diode is ideal. ,12V Is R JA R

Find the input voltage of the given circuit .given that the maximum Power drawn is 200mw.

Determine the ratio of maximum to minimum Pour at the load for the given circuit diagram., (515) v 5002 u 2 lov FIL R1K Is I IL

A transistor is excited by a base current of to A, 0.99, leakage current 10 A. Determine all other currents

A transistor is excited by an emitter current of 10mA 99, leakage current 10 A. Determine all other current

For the given circuit diagram shown, determine a) Configuration b) All currents c) Terminal Voltage d) power Dissipated e) Region of operation f) Q.point load line.

Consider the circuits shown in figures (a) and (b). Have current gain (Bdc) 100 10 respectively. Find region of operation

Find the value of resistor R2.

For the given circuit diagram shown determine ID, Gm and Gmax. If Idss 10mA , Vp5V.

Determine the voltage gain, input resistance, Output resistance and bandwidth for the CKT shown if R 330 PF 3.3K. A 2x105, Rin2M, Rout75 and Fo 5Hz

Draw the output wave form for the following,

The values of the decay processes pn Rave been estimated as 116 Mev and 110 Mev respecively. Estimate the masses of

Consider the process The minimum kinetic energy of muons () in the centre of mass frame required to produce the pion () pairs at rest is Mev.

Consider the decay process T Vt in the rest Frame of T . The masses T, Vt are Mt, M and 0 respectively. The energy of is

A 100 Mev k particle decays as k T1 . The measured values of K.E of one Particle is 68.6 Mev, that of the other is 80.8 Mev, while K.E of as is 755 Mev. Determine value of the rection of also find mass of K. (given mat 140 MeV)

A spin 12 Particle A undergoes the decay. ABcD where it is known that BC are also spin 12 Particles. The complete set of allowed values of the spin of the particle D is

The rest energy of partide is uncertain with a measured width T 115 Mev. what is mean lifetime of

In a classical model, a scaler (spino) meson consists of a quark and a antiquark bound by a potential v(r) ar br where a200 mev fm1 and a 100 Mev fm1. If the masses of the quark antiquark are negligible, the mass of the meson can be estimated as approximately.

The masses of Hatom, newton and 92U238 are given by 1.0078 1.0087 238.0508 amu respectively. The B.E of 92U238 is approximately equal to

The radius of a Cu(64,29) nucleus is measured to be 4.8x1013 cm. A) The radius of a Mg(27,12) nucleus can be estimated to be B) The RMS energy of a nucleon in a nucleus of atomic number A in its ground state varies as,BY The RMS energy of a nucleon in a nucleus of atomic number A in its ground state varies as as A43 by A3 A3 A3 A23

Calculate seperation energy for last added i) n in He(4,2) ii) p in O(16,8) Given M(3,2) 3.016 amu, M(4,2) 4.0026 amu, 15.0001 mp 1.0078 amu M16 15.9949 amu Mn 1.0087 amu.

A proton is accelerated to a high energy E and shot at a nucleus of oxygen O(16,8). In order to penetrate the coulomb banier amd reach the surface of oxygen nucleus, E must be atleast,be atleast a 3.6 Mer by 18 Mev c us kev d) 180 ev

The B.E of a light nucleus (Z,A) in Mev is given by the approximate formula B(A, z) 16A20A2334 z2 A13 30(NZ)2A where N AZ is the newton number. The value of z of the most stable isobar for a given A is

Of the nuclei of mass number A125, the B.E calculated from the liquid drop model is maximum. for ( using ac0.7 Mev, Asym 22.5 MeV).

The electric quadrupole moment of a odd proton nucleus is (2j1)(2j2) , what is the value, in barn, of the quadrupole moment of Al(27) nucleus in the shell model

The single particle energy difference between porbitals (P32 P12) of nucleus sn(114,50) is 3mev. The energy difference blue the states in its If orbital is

The first excited state of the rotational spectrum of the nucleus U (238 ,92) has an energy 45Kev the ground state. The energy of second excited state (in Kev) is

Half life of a radioisotope is 4x108 years. If these are 103 radioactive nuclei in a sample today, the number of such nuclei in the sample 4x109 years ago were.

A radioactive element X decays to y which in term decays to a stable element z. The decay constant from X to Y is 1, and that from Y to Z is 2 If, to begin with, there are only No atoms . of x, at short times (t 11, as well as 12) the number of atoms of z will be

Some scholars are concerned about the negative impact of text messaging and other forms of technology on written communication. Do you share this concern? Do you think technology encourages you to be less professional in your written communication? Why or why not?

Which of the following is self adjoint operator in spherical polar Coordinates (r,, )

The commutator (x, pep is (1)