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Physics Questions and Answers November 03, 2022

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A pendulum, consisting of a bob of mass m hung from a massless string, is attached on the ceiling of a room in a ship. When the ship is at rest, the pendulum makes zero degrees with the vertical. The ship starts to accelerate and the pendulum now makes at angle 5 with the vertical. The acceleration of the ship is (Taking g 9.8 ms, tan 5 0.09)

A train of mass m 5x105kg, moves from the north to the south at the latitude 45 with a velocity v 72 kmhr. The magnitude of the Coriolis force that acts on the rails due to the motion of the train is (Earths angular velocity ( 7.310 radseconds, Take0.7) 51.6 N 900 N 1022 N 1200 N

Consider a disc and a hoop of identical masses and moment of inertia about their respective diameters. Tdisc The ratio of their radii i.e. O21 Thoop is,21 012 12

A stationary particle of mass 3 kg explodes into three pieces of equal mass. Two of the pieces fly off at right angles to each other with speeds 2a ms and 3a ms respectively. The explosion takes place in 105 s. The magnitude of average force acting on third piece during the explosion is (here a is a positive constant) a13105 N a3x105 N a1310 N

The orbit of a particle in a central potential V() is given by. r a (1cose) If I denotes the angular momentum of a particle in a circular orbit of radiusr, in the same potential V(r), then L is proportional to. ro O ro S

When a particle is dropped vertically on a surface it bounces back to 25 of its original height. When its thrown at an angle with certain speed it falls 10m away and keeps on bouncing. Total distance travelled by the particle before it starts sliding is 15 m 20 m 25 m O Infinity

A block of mass 1 kg is lying on a floor with 1. The minimum force (F) that needs to be applied to make the block move is equal to, (g 10, ms),10 N 15 N 52 N 25 N m

Consider a frictionless tube rotating with constant angular speed oo. If a particle is left at the corner and slightly pushed, its position (r) will vary with time inside the tube as. O Exponentially O Linearly Quadratically O Sinusoidally

A uniform disc of surface mass density () exists in space. Its radius is R. A small disc of radius (R2) is cut 15 from it as shown in the figure. The moment of inertia (I) about axis AB is 16K 04 2 5 07 OR2 R B on R. The value ofK. is

A particle of mass m and angular momentum is moving from infinity towards centre under a central potential k V(r) (k0). For what minimum energy, can the particle reach the center of force 3r O 2km 16 3km 16 6km O 5.66 6km

A particle of mass m moves in periodic motion in one dimension under the influence of a potential V(x) 4x where A is a constant. The period of motion as a function of energy is 42mE A 2mE A 22mE A 2ME A

B The moment of inertia tensor of a rigid body is given by I 0 0af 4 2 O constants. The magnitude of the moment of inertia about an axis n 1 2 2 a and 3 are related as 2 0 a 0 , where a and 3 are positive a 0 B 12,0) is 30. Then

The orange krypton line ( 6058 A) has a coherence length of 20 cm. The line width, in units of is approximately 0.018 0.036 0.03 O 0.025

The figure (shown below) depicts the energy levels of a 4 level atomic system with the Einsteins coefficients as follows A32 210 sec , A31 3.5105 sec, A30 4.510 sec, A21 110 sec, A0 410 sec 20 3 2. The life time of the atomic level 3 is II,1x106 sec 1107 sec 1.25107 sec O 1.25x108 sec

A HeNe LASER operating at 632.8 nm consists of discharge tube of length 0.4 m with mirrors bonded to the ends. The gain band width of the laser medium is 1.5 GHz. The seperation of the longitudinal modes of the cavity is 375 MHz 187.5 MHz 1500 MHz 750 MHz

Calculate the number of modes that can exist in laser whose resonator cavity has length 1m and wavelength is 1m. 02x10 010 O4x10 O 5x10 510

If we consider a diatomic molecule as a nonrigid rotator, the wave number for the transition J 2 to J 3 is given by (where B is rotational constant and D is centrifugal distortion constant) O 2B4D O4B32D O 6B108D O4B64D

The temperature at which the rate of spontaneous emission is equal to the stimulated emission for a wavelength 5000 A is 64720 K 34210 K 41573 K 5432 K

Laser line width occurs at 20 Hz. The coherence length is 12450 km O 15000 km 13560 km 12000 km

The rotational constant of 14N is 2 cm1. The wave number of incident radiation in a Raman spectrometer is 20487 cm1. The wave number of first scattered stokes line in cm is 20479 20475 20499 20495

In a vibrational rotational spectra, if we consider molecule as harmonic oscillator and a nonrigid rotator then the wavenumber for the transition J 3 to J 4 between vibrational levels v 0 and v 1 is (where is vibrational constant, B is rotational constant and D is centrifugal distortion constant) O 8B108D O 6B144D O 8B256D 2 6B 208D

The optical resonator has a length 60 cm operating at an optical frequency of 5 x 1014 Hz. The number of longitudinal modes in the cavity is 5 x 104 3 104 3 x 106 2 x 106

If the mean internuclear separation of HC135 molecule in the vibrational energy level v0 and v1 is 1.293 then the separation of the lines R(0) and P(1) of the fundamental band is 2066 m1 1033 m1 4132 m 6198 m1

The temperature, at which the number of molecules in the v 1 is 1e times that in the ground state v0, is Given that, for I molecule, 214.6 cm and x0.6 cm 300 K 330 K O 400 K 700 K

Assume that the H molecule behaves like a harmonic oscillator with a force constant k 573 Nm. The vibrational quantum number (v) to its dissociation energy 4.5 eV is corresponding Ov5 Ov6,Ov7 v 8

The fundamental mode of HCL occurs at 2886 cm1. Frequency of the same mode of DCL (Deuterium chloride) is 3069 cm 1 2886 cm 2069 cm 1 O 3205 cm

If the separation between two successive vibrational states is 1904 cm 1, then the zero point energy is 1904 cm1 952 cm1 3808 cm1 2856 cm1

The angular rotational velocity of an molecules promoted to the first excited rotational level., I I 21

An atomic spectral line is observed to split into twelve components due to Zeeman effect. If the upper state of the atom is D52, then the lower state will be S112 0 P12 04 F312 2 P32

The threshold pumping power per unit volume in case of Ruby laser is Given The number of atoms per unit volume are 1.6 1025, pumping frequency is 6.25 104 Hz and spontaneous relaxation time of upper level is 3 x 10 sec O 410 Wm O 6108 Wm 3x10 Wm 3 O 11108 Wm

The spectrum of HCI molecule shows a very intense absorption at 2886 cm1 and a weaker at 5668 cm1. The anharmonicity constants xe is 0.0274 0.0174 0.0017 0.174

The Doppler halfintensity breadth of the sodium Dlines at 5893 A corresponding to a temperature of 500K is approximately Given that R 8.31 JmolK, c 3x108 msec and atomic weight of sodium 22.99 gmol 0.03 A 0.02 0.002 0.003 A

The spectral width of a spectral line of 5000A wavelength emitted from a energy level of a life time of 108 sec is 1.33102 O 1.33x10 eV 1.33x10 eV O 1.33104 A

The angle between the directions of L and S for the term P, is 30 O 45 60 135

In normal Zeeman effect experiment, spectral splitting of the line at the wavelength 600 nm corresponding to the transition 5 D5 P, of Cadmium atoms to be observed. The spectrometer has the resolution of 0.01 nm. The minimum magnetic field (B) needed to observe this is 1.8 T 0.9 T 0.6 T 1.2 T

A meson (charge e, mass207 m, where m is mass of electron) can be captured by a proton to form a hydrogen like mesic (or muonic) atom. The radius of the first Bohr orbit for such an atom is O 1.4510 1.45103 2.8510 2.8510

The number of possible transitions in Anomalous Zeeman effect for transition p are 5 6 7 9

Wavelength (in nm) of the Lyman series for an oneelectron ion is in the range 24 30. The ionization 1019 rev 1.6 energy of the ion will be closest to 32 eV 42 eV 52 eV 62 eV 1J

The orbital degeneracy of the level of a oneelectron atomic system with Z 5 and energy 13.6 eV, is 01 5 25 36 2

The Lande gfactors for P, and D, states are and 2 respectively 3 03 1 2 03 10 2 and respectively and 1 respectively 3 and respectively.

The isotope 17 of oxygen atom has nuclear spin I 2. The ratio of number of hyperfine structure compo nents F for P, and P 53 21,31 35

If Zn is bombarded by 5 keV electrons, the wavelength of the shortest X ray line is given by 2.50 10.00 O 1.24 O 2.48

A hydrogen atom is placed in a magnetic field of 3T. The energy difference between the m 1 and m 1 components in the 2p state is 03.48102 eV 3.4810 eV 03.48104 eV 03.48105 eV

The sodium yellow line 5893 A arises from the transition 3p3s. The 3p level is splitted by spinorbit interaction into two components separated by 2.110 eV. The wavelength separation between the two components of the yellow line is 5.87 6.77 4.37 2.97

The nuclear spin I of bismuth atom is 92. By IJ interaction, the term D52 of bismuth is split into many levels. If the separation of the 2D2 (F 2) and 2D2 (F 3) levels is 30 cm, then the separation be tween D2 (F 5) and 2D2 (F 6) levels is (F is resultant of I and J) O 40 40 cm cm1 O 50 50 cm cm 60 cm 070 cm 1

The possible values of I.S for 11 and s are O and 2 O 3 and 2 2 O 2 O 2 and 3 2 and

The spectral designation of the term corresponding of the greatest possible total angular momentum of an atom with electronic configuration 1s2p3d is,P OF O PA 0FA

Consider spectral lines caused by the transitions (1) P S (11) D 2 2 2 P32 The normal Zeeman effect is observed in weak magnetic field in (ii) Both (i) and (ii) None of these

5 The ground state terms for B, C, N and 0 respectively are O P32, P, 4S32 and P OP2 Po S32 and Po 0P32, P, D32 and 3 3 OP12 Po S32 and P

Energy of the emitted photon when an Lelectron drops into the kstate in copper (z 29) is 1 use R109737 cm, cm 1.23910eV 7994.6 eV 1094.6 eV 1293.6 eV 1097.3 eV

Consider the transition in heavy atoms which give rise to La line in xray spectra. The number of allowed transitions possible under the selection rule Al 1. Aj 0, 1 5 6 07 8

A long, hollow conducting cylinder is kept coaxially inside another long, hollow conducting cylinder of larger radius. Both the cylinders are initially electrically neutral. (A) A potential difference appears between the two cylinders when a charge density is given to the inner cylinder. (B) A potential difference appears between the two cylinders

In an experiment to determine the focal length (f) of a concave mirror by the uv method, a student places the object pin A on the principal axis at a distance x from the pole P. The student looks at the pin and its inverted image from a distance keeping hisher eye in line with PA. When the student shifts hisher eye towards left, the image appears

The largest wavelength in the ultraviolet region of the hydrogen spectrum is 122 nm. The smallest wavelength in the infrared region of the hydrogen spectrum (to the nearest integer) is (B) 823 nm (D) 1648 nm (A) 802 nm (C) 1882 nm

A resistance of 2 2 is connected across one gap of a metrebridge (the length of the wire is 100 cm) and an unknown resistance, greater than 202, is connected across the other gap. When these resistance are interchanged, the balance point shifts by 20 cm. Neglecting any corrections, the unknown resistance is (A) 3 Q2 (C) 5 () 4 (D) 6 22

A ray of light travelling in water is incident on its surface open to air. The angle of incidence is 0, which is less than the critical angle. Then there will be (A) only a reflected ray and no refracted ray (B) only a refracted ray and no reflected ray (C) a reflected ray and a refracted ray and the angle between them would be less than 180 20

Two particle of mass m each are tied at the ends of a light string of length 2a. The whole system is kept on a frictionless horizontal surface with the string held tight so that each mass is at a distance a from the center P (as shown in the figure). Now, the midpoint of the string is pulled vertically upwards with a small but constant force F. As

Consider a neutral conducting sphere. A positive point charge is placed outside the sphere. The net charge on the sphere is then, (A) negative and distributed uniformly over the surface of the sphere (B) negative and appears only at the point on the sphere closest to the point charge (C) negative and distributed nonuniformly over the entire

STATEMENT1 The formula connecting u, v and f for a spherical mirror is valid only for mirrors whose sizes are very small compared to their radii of curvature. because STATEMENT2 Laws of reflection are strictly valid for plane surfaces, but not for large spherical surfaces. (A) Statement1 is True, Statement2 is True Statement 2 is a correct

STATEMENT1 If the accelerating potential in an Xray tube is increased, the wavelengths of the characteristic Xrays do not change. because STATEMENT 2 When an electron beam strikes the target in an Xray tube, part of the kinetic energy is converted into Xray energy. (A) Statement1 is True, Statement2 is True Statement 2 is a correct explanation for

STATEMENT1 A block of mass m starts moving on a rough horizontal surface with a velocity v. It stops due to friction between the block and the surface after moving through a certain distance. The surface is now tilted to an angle of 30 with the horizontal and the same block is made to go up on the surface with the same initial velocity v. The

STATEMENT1 In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision. because STATEMENT2 In an elastic collision, the linear momentum of the system is conserved. (A) Statement 1 is True, Statement2 is True Statement 2 is a correct explanation for Statement1. (B)

A fixed thermally conducting cylinder has a radius R and height Lo. The cylinder is open at its bottom and has a small hole at its top. A piston of mass M is held at a distance L from the top surface, as shown in the figure. The atmospheric pressure is Po. 2R Piston The piston is now pulled out slowly and held at a distance 2L from the top. The

Two discs A and B are mounted coaxially on a vertical axle. The discs have moments of inertia and 27 respectively about the common axis. Disc A is imparted an initial angular velocity 200 using the entire potential energy of a spring compressed by a distance x,. Disc B is imparted an angular velocity by a spring having the same spring constant

A spherical portion has been removed from a solid sphere having a charge distributed uniformly in its volume as shown in the figure. The electric field inside the emptied space is (A) zero everywhere (C) nonuniform (B) nonzero and uniform (D) zero only at its center

A magnetic field BB exists in the region a x 2a and B B), in the region 2a x 3a, where Bo is a positive constant. A positive point charge moving with a velocity v v1, where vo is a positive constant, enters the magnetic field at x a. The trajectory of the charge in this region can be like, (A) (C) Z a (B) KH 2a 3a X a a Bo Bo a a (D) Z KAK

Electrons with deBroglie wavelength fall on the target in an Xray tube. The cutoff wavelength of the emitted X rays is (A) 20 (C) 20 2mc h 2mc2 h (B) 2 2h mc (D)

A student performs an experiment to determine the Youngs modulus of a wire, exactly 2 m long, by Searles method. In a particular reading, the student measures the extension in the length of the wire to be 0.8 mm with an uncertainty of 0.05 mm at a load of exactly 1.0 kg. The student also measures the diameter of the wire to be 0.4 mm with an

Positive and negative point charges of equal magnitude are kept at 0, 0, 2 ar and 0, 0, 2, respectively. The work done by the electric field when another positive point charge is moved from (a, 0, 0) to (0, a, 0) is (A) positive (B) negative (C) zero (D) depends on the path connecting the initial and final positions

In the experiment to determine the speed of sound using a resonance column, (A) prongs of the tuning fork are kept in a vertical plane (B) prongs of the tuning fork are kept in a horizontal plane (C) in one of the two resonances observed, the length of the resonating air column is close to the wavelength of sound in air (D) in one of the two

A particle moves in the XY plane under the influence of a force such that its linear momentum is p(t) Aicos(kt) jsin(kt), where A and k are constants. The angle between the force and the momentum is (A) 0 (C) 45 (B) 30 (D) 90

STATEMENT1 A vertical iron rod has a coil of wire wound over it at the bottom end. An alternating current flows in the coil. The rod goes through a conducting ring as shown in the figure. The ring can float at a certain height above the coil. Because STATEMENT2 In the above situation, a current is induced in the ring which interacts with the

STATEMENT1 The total translational kinetic energy of all the molecules of a given mass of an ideal gas is 1.5 times the product of its pressure and its volume. because STATEMENT2 The molecules of a gas collide with each other and the velocities of the molecules change due to the collision. (A) Statement 1 is True, Statement2 is True Statement 2 is

The figure shows a surface XY separating two transparent media, medium 1 and medium 2. The lines ab and cd represent wavefronts of a light wave travelling in medium1 and incident on XY. The lines of and gh represent wavefronts of the light wave in medium2 after refraction. Light travels as a (A) parallel beam in each medium. (C) divergent beam in

Given, R 192 R 22 C2F C4F (1) V www R www R R R C The time constants (in S) for the circuits I, II, III are respectively (A) 18, 89, 4 (C) 4, 89, 18 (II) (B) 18, 4, 89 (D) 89, 18, 4 R3 (III)

A point object is placed at a distance of 20 cm from a thin planoconvex lens of focal length 15 cm, if the plane surface is silvered. The image will form at (A) 60 cm left of AB (C) 12 cm left of AB (B) 30 cm left of AB (D) 60 cm right of AB 20 cm B 15 cm

A biconvex lens of focal length f forms a circular image of sun of radius r in focal plane. Then (A) r oc f (B) x (C) if lower half part is covered by black sheet, then area of the image is equal to tr2 (D) if f is doubled, intensity will increase

Given a sample of Radium226 having halflife of 4 days. Find the probability, a nucleus disintegrates after 2 half lives. (A) 1 (C) 1.5 (B) 12 (D) 34

Graph of position of image vs position of point object from a convex lens is shown. Then, focal length of the lens is (A) 0.50 0.05 cm (B) 0.50 0.10 cm (C) 5.00 0.05 cm (D) 5.00 0.10 cm u cm31 30 20 I 10 31 v cm 30 10 0 (9, 9)

A massless rod is suspended by two identical strings AB and CD of equal length. A block of mass m is suspended from point O such that BO is equal to x. Further, it is observed that the frequency of 1st harmonic (fundamental frequency) in AB is equal to 2nd harmonic frequency in CD. Then, length of BO is (A) L5 (C) 3L4 (B) 4L5 (D) L4 B m C D

A system of binary stars of masses m and m are moving in circular orbits of radii r and r respectively. If TA and TB are the time periods of masses me and m respectively, then 32 (A) (B) TA TB (if TA IB) TA TB IB (C) TATB (if mA MB) (D) TATB

A solid sphere of mass M, radius R and having moment of inertia about an axis passing through the centre of mass as I, is recast into a disc of thickness t, whose moment of inertia about an axis passing through its edge and perpendicular to its plane remains I. Then, radius of the disc will be 2 15 (A) (C) 2R 15 4R 15 (B) R 4

A student performs an experiment for determination of (A) 5 mm (B) 5 mm (C) 5 mm (D) 1 mm For T he takes the time of n oscillations with the stop watch of least count AT and he commits a human error of 0.1 sec. For which of the following data, the measurement of g will be most accurate Al AT n Amplitude of oscillation 0.2 sec 0.2 sec 0.1 sec 0.1

The circular divisions of shown screw gauge are 50. It moves 0.5 mm on main scale in one rotation. The diameter of the ball is (A) 2.25 mm (C) 1.20 mm (B) 2.20 mm (D) 1.25 mm D

Consider a cylindrical element as shown in the figure. Current flowing the through element is I and resistivity of material of the cylinder is p. Choose the correct option out the following. (A) Power loss in first half is four times the power loss in second half. (B) Voltage drop in first half is twice of voltage drop in second half. (C) Current

In the given diagram, a line of force of a particular force field is shown. Out of the following options, it can never represent (A) an electrostatic field (C) a gravitational field of a mass at rest (B) a magnetostatic field (D) an induced electric field O

The electrostatic potential () of a spherical symmetric system, kept at origin, is shown in the adjacent figure, and given as q dr (r Ro) 4x T q 4x Eo Ro or (r Ro) Which of the following option(s) isare correct (A) For spherical region r Ro, total electrostatic energy stored is zero. (B) Within r2Ro, total charge is q. (C) There will be no charge

A solid cylinder of mass m and radius r is rolling on a rough inclined plane of inclination 0. The coefficient of friction between the cylinder and incline is . Then (A) frictional force is always umg cos 0 (C) by decreasing 0, frictional force decreases (B) friction is a dissipative force (D) friction opposes translation and supports rotation.

Function x A sin cot B cos ot C sin ot cos cot represents SHM (A) for any value of A, B and C (except C 0) (C) if A B C 0 (B) if A B C 2B, amplitude B2 (D) if A B C 2B, amplitude B

the roof of the dark room. Assuming that there is no change in the ambient temperature of the room, which of the following statement(s) isare correct (A) The quantity of radiation absorbed by the black body in unit time will increase. (B) Since emissivity absorptivity, hence the quantity of radiation emitted by black body in unit time will

The graph between 12 and stopping potential (V) of three metals having work functions 1, 2 and 3 in an experiment of photoelectric effect is plotted as shown in the figure. Which of the following statement(s) isare correct Here is the wavelength of the incident ray. (A) Ratio of work functions 023124 (B) Ratio of work functions 203 421 (C) tan 9

An infinite current carrying wire passes through point O and in perpendicular to the plane containing a current carrying loop ABCD as shown in the figure. Choose the correct option (s). (A) Net force on the loop is zero. (B) Net torque on the loop is zero. (C) As seen from O, the loop rotates clockwise. (D) As seen from O, the loop rotates

A ball moves over a fixed track as shown in the figure. From A to B the ball rolls without slipping. Surface BC is frictionless. K, KB and Ke are kinetic energies of the ball at h A, B and C, respectively. Then (A) hA hc KB Kc (B) h hc Kc KA (C) hAhc KB Kc (D) hAhc KB Kc B

The capacitor of capacitance C can be charged (with the help of a resistance R) by a voltage source V, by closing switch S, while keeping switch S open. The capacitor can be connected in series with an inductor L by closing switch S and opening S. Initially, the capacitor was uncharged. Now, switch S is closed and S is kept open. If time constant

The capacitor of capacitance C can be charged (with the help of a resistance R) by a voltage source V, by closing switch S, while keeping switch S open. The capacitor can be connected in series with an inductor L by closing switch S and opening S. R (A) at t 0, energy stored in the circuit is purely in the form of magnetic energy (B) at any time

The capacitor of capacitance C can be charged (with the help of a resistance R) by a voltage source V, by closing switch S, while keeping switch S open. The capacitor can be connected in series with an inductor L by closing switch S, and opening S. If the total charge stored in the LC circuit is Qo, then for t 0 1 LC I (A) the charge on the

A wooden cylinder of diameter 4r, height h and density p3 is kept on a hole of diameter 2r of a tank, filled with water of density p as shown in the figure. The height of the base of cylinder from the base of tank is H. If level of liquid starts decreasing slowly when the level of liquid is at a height h, above the cylinder, the block just starts

h A wooden cylinder of diameter 4r, height h and density p3 is kept on a hole of diameter 2r of a tank, filled with water of density p as shown in the figure. The height of the base of cylinder from the base of tank is H. H (B) 4h9 (D) h h 4r p3 height of water level (h in figure) for which the cylinder remains in original position without

A wooden cylinder of diameter 4r, height h and density p3 is kept on a hole of diameter 2r of a tank, filled with water of density p as shown in the figure. The height of the base of cylinder from the base of tank is H. If height h of water level is further decreased, then (A) cylinder will not move up and remains at its original position. (B) for

A wooden cylinder of diameter 4r, height h and density p3 is kept on a hole of h diameter 2r of a tank, filled with water of density p as shown in the figure. The height of the base of cylinder from the base of tank is H. h (B) 6 (D) 10 4r 2r p3 Two waves y A cos( 0.5 x 100 nt) and y A cos( 0.46 x 92 xt) are travelling in a pipe placed along