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Given

The time constants in for the circuits I, II, III are respectively

18, 4, 8/9

18, 8/9, 4

8/9, 18, 4

4, 8/9, 18

Two blocks of A and B of masses 2m and m, respectively, are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in the figure. The magnitudes of acceleration of A and B, immediately after the string is cut, are respectively

g, g/2

g, g

g/2, g

g/2, g/2

A point object is placed at a distance of 20 cm from a thin plano-convex lens of focal length 15 cm, if the plane surface is silvered. The image will form at

60 cm right of AB

30 cm left of AB

60 cm left of AB

12 cm left of AB

A biconvex lens of focal length f forms a circular image of sun of radius r in focal plane. Then

if f is doubled, intensity will increase

if lower half part is covered by black sheet, then area of the image is equal to

Given a sample of Radium-226 having half-life of 4 days. Find the probability, a nucleus disintegrates after 2 half lives.

1/2

1.5

3/4

1

Graph of position of image vs position of point object from a convex lens is shown. Then, focal length of the lens is

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 harmonic (fundamental frequency) in AB is equal to harmonic frequency in CD. Then, length of BO is

4L/5

L/5

3L/4

L/4

A system of binary stars of masses and are moving in circular orbits of radii and respectively. If and are the time periods of masses and respectively, then

A student performs an experiment for determination of and he commits an error of For T he takes the time of n oscillations with the stop watch of least count Î”T and he commits a human error of 0.1sec. For which of the following data, the measurement of g will be most accurate? of oscillation.

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

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

1.20 mm

1.25 mm

2.20 mm

2.25 mm

Consider a cylindrical element as shown in the figure. Current flowing the through element is I and resistivity of material of the cylinder is Ï. Choose the correct option out the following.

Current density in both halves are equal.

Power loss in first half is four times the power loss in second half.

Voltage drop in first half is twice of voltage drop in second half.

Electric field in both halves is equal.

More than One Choice may be correct .(+5, âˆ’1)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(B) a magnetostatic field(C) a gravitational field of a mass at rest(D) an induced electric field

A, B & C

A & C

A, C & D

B & D

All are correct

The electrostatic potential (Ï†r) of a spherical symmetric system, kept at origin, is shown in the adjacent figure and given as Which of the following option(s) is/are correct?

Within , total charge is q.

Electric field is discontinuous at

For spherical region, total electrostatic energy stored is zero.

There will be no charge anywhere except at

. The coefficient of friction between the cylinder and incline is . Then(A) frictional force is always (B) friction is a dissipative force(C) by decreasing , frictional force decreases(D) friction opposes translation and supports rotation.

C & D

A, B & D

Function represents SHM (A) for any value of A, B and C (except C = 0) (B) if A = âˆ’B; C = 2B, amplitude = (C) if A = B; C = 0 (D) if A = B; C = 2B, amplitude = |B|

A, B, C

B, C, D

A, B, D

The graph between 1/Î» and stopping potential (V) of three metals having work functions Ï†1, Ï†2 and Ï†3 in an experiment of photo-electric effect is plotted as shown in the figure. Which of the following statement(s) is/are correct? [Here Î» is the wavelength of the incident ray]. (A) Ratio of work functions Ï†1 : Ï†2 : Ï†3 = 1 : 2 : 4(B) Ratio of work functions Ï†1 : Ï†2 : Ï†3 = 4 : 2 : 1(C) tan Î¸ is directly proportional to hc/e, where h is Planckâ€™s constant and c is the speed of light.(D) The violet colour light can eject photoelectrons from metals 2 and 3.

Only B & D

Only A & C

Only A & B

Only C & D

In a dark room with ambient temperature , a black body is kept at a temperature T. Keeping the temperature of the black body constant (at T), sunrays are allowed to fall on the black body through a hole in 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) is/are correct?

Black body radiates more energy in unit time in the visible spectrum.

Since emissivity = absorptivity, hence the quantity of radiation emitted by black body in unit time will increase.

The reflected energy in unit time by the black body remains same.

The quantity of radiation absorbed by the black body in unit time will increase.

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 anticlockwise

B, C & D

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. and are kinetic energies of the ball at A, B and C, respectively. Choose the incorrect one:

Read the below passage & answer (Q 21- 23)The capacitor of capacitance C can be charged (with the help of a resistance R) by a voltage source V, by closing switch while keeping switch open. The capacitor can be connected in series with an inductor â€˜Lâ€™ by closing switch and opening . Initially, the capacitor was uncharged. Now, switch is closed and is kept open. If time constant of this circuit is , then

after time interval , charge on the capacitor is

the work done by the voltage source will be half of the heat dissipated when the capacitor is fully charged.

After the capacitor gets fully charged, is opened and is closed so that the inductor is connected in series with the capacitor. Then,

at any time t > 0, current in the circuit is in the same direction

at t = 0, energy stored in the circuit is purely in the form of magnetic energy

at t > 0, there is no exchange of energy between the inductor and capacitor

at any time t > 0, instantaneous current in the circuit may

If the total charge stored in the LC circuit is , then for

the charge on the capacitor is

Read the below passage & answer (Q 24- 26)

A wooden cylinder of diameter 4r, height h and density Ï/3 is kept on a hole of diameter 2r of a tank, filled with water of density Ï 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 above the cylinder, the block just starts moving up. Then, value

5h/4

5h/3

2h/3

5h/2

Let the cylinder is prevented from moving up, by applying a force and water level is further decreased. Then, height of water level ( in figure) for which the cylinder remains in original position without application of force is

h

4h/9

h/3

If height of water level is further decreased, then

cylinder will not move up and remains at its original position

for , cylinder again starts moving up

for cylinder again starts moving up

Two waves and are traveling in a pipe placed along x-axis. Find the number of times intensity is maximum in time interval of 1 sec.

6

4

10

8

Find wave velocity of louder sound

192 m/s

200 m/s

100 m/s

96 m/s

Find the number of times at in 1 sec

46

192

100

96

There is a rectangular plate of mass M kg of dimensions (a Ã— b). The plate is held in horizontal position by striking n small balls each of mass m per unit area per unit time. These are striking in the shaded half region of the plate. The balls are colliding elastically with velocity v. What is v? It is given

12 m/s

11 m/s

10 m/s

9 m/s

In an insulated vessel, 0.05 kg steam at 373 K and 0.45 kg of ice at 253 K are mixed. Then, find the final temperature of the mixture.Given,

In hydrogen-like atom (z = 11), line of Lyman series has wavelength Î» equal to the de-Broglieâ€™s wavelength of electron in the level from which it originated. What is the value of n?

24

23

25

26

A circular disc with a groove along its diameter is placed horizontally. A block of mass 1 kg is placed as shown. The co-efficient of friction between the block and all surfaces of groove in contact is Î¼ = 2/5. The disc has an acceleration of . Find the acceleration of the block with respect to disc.

Heat given to process is positive, match the following option of column I with the corresponding option of column II

(I)â†’ (P), (II)â†’(Q), (S), (III)â†’®, (IV)â†’ (S), (P)

(I)â†’ (Q), (II)â†’(P), (S), (III)â†’(S), (IV)â†’ (Q), (R)

(I)â†’ (S), (II)â†’®, (P), (III)â†’(Q), (IV)â†’ (Q), (P)

(I)â†’®, (II)â†’(S), (Q), (III)â†’(P), (IV)â†’ (S), (Q)

Match the following Columns

Column I

Column II

(I) Nuclear fusion

(P) Converts some matter into energy

(II) Nuclear fission

(Q) Generally possible for nuclei with low atomic number

(III) Î²-decay

(R) Generally possible for nuclei with higher atomic number

(IV)Exothermic nuclear reaction

(S) Essentially proceeds by weak nuclear forces

(I)â†’(Q), (R), (II)â†’(S), (P), (III)â†’®, (Q), (IV)â†’(S), (Q), (R)

(I)â†’(P), (Q), (II)â†’(P), (R), (III)â†’(S), (P), (IV)â†’(P), (Q), (R)

(I)â†’®, (S), (II)â†’(S), (R), (III)â†’(Q), (S), (IV)â†’(S), (Q)

(I)â†’(S), (P), (II)â†’(P) (III)â†’ (P), (IV)â†’(S), (Q), (P)

(I) Dielectric ring uniformly charged

(A) Time independent electrostatic field out of system

(II) Dielectric ring uniformly charged rotating

(B) Magnetic field

(III) Constant current in ring i0

(C) Induced electric field

(IV)

(D) Magnetic moment

(I)â†’(B), (II)â†’©, (D), (III)â†’(A), (D), (IV)â†’(A), (B), (C)

(I)â†’(A), (II)â†’(B), (D), (III)â†’(B), (D), (IV)â†’(B), (C), (D)

(I)â†’(D), (II)â†’(A), (C), (III)â†’©, (D), (IV)â†’(B), (C), (D)

(I)â†’©, (II)â†’(D) (III)â†’(B), (C), (IV)â†’(A)

A simple telescope used to view distant objects has eyepiece and objective lens of focal lengths and , respectively. Then

(I) Intensity of light received by lens

(1.) Radius of aperture®

(II) Angular magnification

(2.) Dispersion of lens

(III) Length of telescope

(3.) focal length

(IV) Sharpness of image

(4.) spherical aberration

(I)â†’(4.), (II)â†’(1.), (III)â†’(4.), (IV)â†’ (2.)

(I)â†’(2.), (II)â†’(2.), (III)â†’(1.), (IV)â†’ (1.), (3.), (4.)

(I)â†’(1.), (II)â†’(3.), (III)â†’(3.), (IV)â†’ (1.), (2.), (4.)

(I)â†’(3.), (II)â†’(4.), (III)â†’(2.), (IV)â†’ (2.), (3.), (4.)

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