Byju's Answer

Question Papers

JIPMER | 2009

Q. A block B is pushed momentarily along a horizontal surface with an initial velocity v. If

μ

is the coefficient of sliding friction between B and the surface, block B will come to rest after a time.

$\frac{v}{g μ}$
$\frac{v}{g}$
$\frac{g μ}{v}$
$\frac{g}{v}$

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Q. In gamma ray emission from a nucleus:

Both, the neutron number and the proton number change.
Only the neutron number changes.
There is no change in the proton number and the neutron number.
Only the proton number changes.

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Q. An observer moves towards a stationary source of sound, with a velocity one-fifth of the velocity of sound. What is the percentage increase in the apparent frequency?

Zero
$0.5 %$
$5 %$
$20 %$

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Q. A coil of inductance

300

mH and resistance

2 Ω

is connected to a source of voltage

2 V

. The current reaches half of its steady state value in

$0.05 s$
$0.1 s$
$0.15 s$
$0.3 s$

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Q. The maximum number of possible interference maxima, for slit-separation equal to twice the wavelength, in Young's double-slit experiment, is

Five
Infinite
Three
Zero

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Q. The refractive index of glass is

1.520

for red light and

1.525

for blue light. Let

D_{1}

and

D_{2}

be angles of minium deviation for red and blue light respectively in a prism of this glass. Then,

$D_{1} < D_{2}$
$D_{1} = D_{2}$
$D_{1}$ can be less than or greater than $D_{2}$ depending upon the angle of prism
$D_{1} > D_{2}$

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Q. Which of the following parameters does not characterise the thermodynamic state of matter?

Pressure
Work
Volume
Temperature

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Q. A wheel has angular acceleration of

3.0 r a d / s^{2}

and an intial angular speed of

2.00 r a d / s

. In a time of

2 s

it has rotated through an angle (in radians) of:

$10$
$6$
$12$
$4$

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Q. Under the influence of a uniform magnetic field, a charged particle is moving in a circle of radius R with constant speed v. The time period of the motion

depends on v and not on R.
depends on both R and v.
is independent of both R and v.
depends on R and not on v.

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Q. If

M_{0}

is the mass of an oxygen isotope

_{8} O^{17}, M_{p}

and

M_{n}

are the masses of a proton and a neutron respectively, the nuclear binding energy of the isotope is

$(M_{O} - 8 M_{p}) c^{2}$
$(M_{O} - 8 M_{p} - 9 M_{n}) c^{2}$
$M_{O} c^{2}$
$(M_{O} - 17 M_{n}) c^{2}$

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Q. A car moves from X to Y with a uniform speed

v_{u}

and returns to Y with a uniform speed

v_{d}

. The average speed for this round trip is

$\frac{2 v_{d} v_{u}}{v_{d} + v_{u}}$
$\frac{v_{d} v_{u}}{v_{d} + v_{u}}$
$\sqrt{v_{u} v_{d}}$
$\frac{v_{u} + v_{d}}{2}$

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Q. Two spherical conductors B and C having equal radii and carrying equal charges in them repel each other with a force

F

, when kept apart at some distance. A third spherical conductor having same radius as that of B but uncharged, is brought in contact with B, then brought in contact with C and finally removed away from both. The new force of repulsion between B and C is:

$\frac{F}{4}$
$\frac{3 F}{4}$
$\frac{F}{8}$
$\frac{3 F}{8}$

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Q. A charged particle (charge q) is moving in a circle of radius R with uniform speed v. The associated magnetic moment

μ

is given by

$\frac{q v R}{2}$
qvR
$q v R^{2}$
$\frac{q v R^{2}}{2}$

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Q. Three resistance P, Q, R each of

2 Ω

and an unknown resistance S form the four arms of a Wheatstone's bridge circuit. When a resistance of

6 Ω

is connected in parallel to S the bridge gets balanced. What is the value of S?

$2 Ω$
$3 Ω$
$6 Ω$
$1 Ω$

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Q. An alpha nucleus of energy

\frac{1}{2} m v^{2}

bombards a heavy nuclear target of charge Ze. Then the distance of closest approach for the alpha nucleus will be proportional to

$\frac{1}{m}$
$\frac{1}{v^{4}}$
$\frac{1}{Z e}$
$v^{2}$

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Q. A transformer is used to light a

100 W

and

110 V

lamp from a

220

V mains. If the main current is

0.5

A, the efficiency of the transformer is approximately

$30 %$
$50 %$
$90 %$
$10 %$

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Q. Two satellites of earth,

S_{1}

and

S_{2}

, are moving in the same orbit. The mass of

S_{1}

is four times the mass of

S_{2}

. Which of the following statements is true?

The time period of $S_{1}$ is four times that of $S_{2}$ .
$S_{1}$ and $S_{2}$ are moving with the same speeds.
The potential energies of earth and satellite in the two cases are equal.
The kinetic energies of the two satellites are equal.

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Q. Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, of length L, of time T and of current I, would be

$[M L^{2} T^{- 2}]$
$[M L^{2} T^{- 3} I^{- 1}]$
$[M L^{2} T^{- 3} I^{- 2}]$
$[M L^{2} T^{- 1} I^{- 1}]$

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Q. In a mass spectrometer used for measuring the masses of ions, the ions are initially accelerated by an electric potential V and then made to describe semicircular paths of radius R using a magnetic field B. If V and B are kept constant, the ratio

(\frac{Charge on the ion}{Mass of the ion})

will be proportional to

$\frac{1}{R}$
$\frac{1}{R^{2}}$
$R^{2}$
R

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Q. A steady current of

1.5

A flows through a copper voltameter for

10

min. If the electrochemical equivalent of copper is

30 \times 10^{- 5} g C^{- 1}

, the mass of copper deposited on the electrode will be

$0.50 g$
$0.67 g$
$0.40 g$
$0.27 g$

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Q. A charged oil drop is suspended in uniform field of

3 \times 10^{4} V / m

so that it neither falls nor rises. The charge on the drop will be:

(Take the mass of the charge

= 9.9 \times 10^{- 15}

kg and

g = 10 m / s^{2}

)

$3.3 \times 10^{- 18}$ C
$1.6 \times 10^{- 18}$ C
$3.2 \times 10^{- 18}$ C
$4.8 \times 10^{- 18}$ C

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Q. A particle starting from the origin

(0, 0)

moves in a straight line in the

(x, y)

plane. It's coordinates at a later time are

(\sqrt{3}, 3)

. The path of the particle makes an angle of _________ with the x-axis.

$30^{0}$
$45^{0}$
$60^{0}$
$0^{0}$

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Q. The frequency of a light wave in a material is

2 \times 10^{14}

Hz and wavelength is

5000 o A

. The refractive index of material will be

$1.40$
$1.50$
$3.00$
$1.33$

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Q. A mass of

M k g

is suspended by a weightless string. The horizontal force that is required to displace it until the string makes an angle of

45^{o}

with the initial vertical direction is:

$M g \sqrt{2}$
$M g (\sqrt{2} + 1)$
$\frac{M g}{\sqrt{2}}$
$M g (\sqrt{2} - 1)$

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Q. A sound absorber attenuates the sound level by

20 d B

. The intensity decreases by a factor of

$1000$
$10000$
$10$
$100$

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Q. A particle of mass

100

g is thrown vertically upwards with a speed of

5 m / s

. The work done by the force of gravity during the time the particle goes up is

$- 0.5$ J
$- 1.25$ J
$1.25$ J
$0.5$ J

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Q. The primary and secondary coils of a transformer have

50

and

1500

turns respectively. If the magnetic flux

ϕ

linked with the primary coil is given by

ϕ = ϕ_{0} + 4 t

, where

ϕ

is in weber, t is time in seconds and

ϕ_{0}

is a constant. The output voltage across the secondary coil is

$90 V$
$6000 V$
$220 V$
$30 V$

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Q. A particle executes simple harmonic oscillation with an amplitude

a

. The period of oscillation is T. The minimum time taken by the particle to travel half of the amplitude from the equilibrium position is

$\frac{T}{4}$
$\frac{T}{8}$
$\frac{T}{12}$
$\frac{T}{2}$

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Q. Two radioactive substances A and B have decay constants

5 λ

and

λ

respectively. At

t = 0

they have the same number of nuclei. The ratio of number of nuclei of A to those of B will be

{(\frac{1}{e})}^{2}

after a time interval

$\frac{1}{4 λ}$
$4 λ$
$2 λ$
$\frac{1}{2 λ}$

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Q. The resistance of an ammeter is

13 Ω

and its scale is graduated for a current upto

100 A

. After an additional shunt has been connected to this ammeter it becomes possible to measure currents upto

750

A by this meter. The value of shunt resistance is

$2 Ω$
$0.2 Ω$
$2 K Ω$
$20 Ω$

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