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Cmat - Physics - Proof Read

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23/09/2020 Advanced Question Search !!!

Sl No.Question Correct Answer

A
1 A block of ice at -10°C is slowly heated and converted to steam at 100°C. Which of
the following curves represents the phenomenon qualitatively?

(A)

(B)

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(C)

(D)

n1 moles of an ideal gas (adiabatic exponent γ1 ) mixes with n2 moles of another


ideal gas (adiabatic exponent γ2 ) at same temperature. The adiabatic exponent of the
gas mixture (γ) can be found from the relation

n1 + n2 n1 n2
(A) = +
γ γ1 γ2
2 n1 γ 1 + n2 γ 2
(B) γ =
n1 + n2
n1 + n2 n1 + 1 n2 + 1
(C) = +
γ– 1 γ1 − 1 γ2 − 1
n1 + n2 n1 n2
(D) = +
γ– 1 γ1 − 1 γ2 − 1

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If a monoatomic gas undergoes a thermodynamic process for which its molar heat
capacity is equal to the universal gas constant. What is the process in terms of V and
T?

3 (A) V
1/2
T = constant
(B) VT
1/2
= constant
(C) V
2
T
2
= constant
(D) VT = constant
B

A cyclic process is shown in the figure. for the process AB which of the following
statement is correct?

(A) Heat given to the system will be always –ve throughout the process
(B) Heat given to the system will be always +ve throughout the process
(C) First the heat given is +ve then –ve throughout the process
(D) First the heat given is –ve then +ve throughout the process
C

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(A) A-R B-P C-S D-Q


(B) A-P B-Q C-S D-R
(C) A-R B-Q C-S D-R
(D) A-R B-P C-Q D-S
A

(A) A – S B – T,P,Q C – Q,P,R D – R,P,Q,S


(B) A – S,P B – T,P,S C – Q,P,T D – R,P,S,Q
(C) A – S B – T,P,Q C – Q,P D – R,P,S,Q
(D) A – S B – T,S C – Q,P,R D – R,P,S,Q
C

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A hollow sphere of inner radius R and outer radius 2R is made of a material of


thermal conductivity K. It is surrounded by another hollow sphere of inner radius 2R
and outer radius 3R made of same material of thermal conductivity K. The inside of
smaller sphere is maintained at 0°C and the outside of bigger sphere at 100°C. The
system is in steady state. The temperature of the interface will be :
7
(A) 50°C
(B) 70°C
(C) 75°C
(D) 45°C
C

Consider a given amount of an ideal gas. The gas is contained in a cylinder. Fig.
shows two isotherms 1 and 2 at temperatures T1 and T2 . An isotherm represents a
process that the gas undergoes at a constant temperature. Consider the paths
A → C and A → B . Heat transferred to the gas along A → C will be

(A) more than that for the path A → B .


(B) less than that for the path A → B .
(C) the same as that for the path A → B .
(D) more if the gas is monatomic and less if the gas is diatomic or polyatomic
B

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Figure shows the adiabatic curve for n moles of an ideal gas; the bulk modulus for
the gas corresponding to the point P will be

5mRT0
(A)
3V0

T0
(B) nR (2 + )
V0

T0
(C) nR (1 + )
V0

2nRT0
(D)
V0

The rms speed of oxygen molecule O2 at a certain temperature T (degree absolute)


is v. If the temperature is double and oxygen gas dissociates into atomic oxygen, the
new rms speed becomes

10 (A) v’ = 2v
(B) v’ = v

(C) v’ = √2v

(D) ′
v = v/√2

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Two wires wrapped over a conical frame form the coils 1 and 2. If they produce no
i1
net magnetic field at the apex P, the value of =
i2

11


−−
r2
(A) √
r1
r1
(B)
r2
2
r1
(C) ( )
r2
−−−
r1
(D) √
r2

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A charge particle of mass m and charge q is projected with a velocity v at a distance


d from a long straight current carrying conductor. The radius of curvature of the path
traced by the particle at the given position does not depend on :

12

(A) m
(B) θ

(C) q
(D) i
B

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13

(A) 1,3,4
(B) 1,4
(C) 1,2,3,4
(D) 2,3,4
B

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^ ^
A charge particle has velocity v = v( i + k ) in the magnetic field at the origin. Its
speed as the function of y is :

14

−−−−−−−−
qE
(A) √v2 + y
2E
−−−−−−−−−−−−−−−−
2
B qE
(B) √( )
2
+ v + y
E 2m
−−−− −−−−−
2qE
(C) 2
√v + y
m

(D) none of the above


C


^ ^
A proton is fired from origin with velocity V = V0 j + V0 k . in a uniform magnetic

^
field B = B0 j . . In the subsequent motion of the proton

15 (A) its z – coordinate can never be negative


(B) its x – coordinate can never be positive
(C) its x – and z – coordinates cannot be zero at the same time
(D) its y – coordinate will be independent of its time.
B

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Two electrons are moving with the same velocity v parallel to each other and
separated by a certain distance. Which of the following statements is wrong?

(A) Magnitude of magnetic force between the electrons depends on frame of


reference and is different in different frames, even if the frames considered are all
inertial with respect to each other
(B) Attract each other when seen from the frame w.r.t which velocity ‘v’ is measured
16
in any real life situation (v < velocity of light in vacuum)
(C) Net real force on an object should be same when measured from any frame of
reference, inertial or not
(D) The angular momentum of one electron will be conserved w.r.t a point attached
to the other electron, no matter what the value of ‘v’ maybe (including imaginary
situations where v> velocity of light)
B

A charged particle of mass m and charge q is projected onto a rough plane of


coefficient of friction μ with a speed v0 . A uniform magnetic field of strength B acts
v0
perpendicular into this plane. The radius of curvature of the path after a time is
2μg

mv0
(A)
qB
17
mv0
(B)
2qB
mv0
(C)
4qB
3mv0
(D)
2qB

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A cube made of wires of equal length is connected to a battery as shown in the


figure. The magnetic field at the centre of the cube is

18

12μ0 I
(A) –
√2πL

6μ0 I
(B) –
√2πL

6μ0 I
(C)
πL

(D) Zero
D

If a charged spherical hollow shell is spinning, and the ratio of it’s magnetic moment
to magnetic field at it’s center is x, then, if charge on the ring, angular velocity and
radius of the ring are all doubled, what will be the new ratio of same?

x
(A)
8

19 x
(B)
4

x
(C)
2

(D) 2x

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Two wires are of same length and same area of cross-section. If first wire has
resistivity ρ1 and temperature coefficient of resistance α1 but second wire has
resistivity ρ2 and temperature coefficient of resistance α2 . Their series equivalent
resistance is independent of small temperature changes. Then

20
(A) α1 + α2 = 0

(B) ρ1 α1 = ρ2 α2

(C) ρ1 α1 + ρ2 α2 = 0

(D) ρ1 α2 + ρ2 α1 = 0

Find the line integral of magnetic field in the region when travelling along the loop
shown in the diagram:
¯ ¯
If answer is ϕB . dl = μ0 ni , what is the value of ‘n’?

21

3_3

Three rods made of the same material and having the same cross-section have
been joined as shown in the figure. Each rod is of the same length. The left and right
ends are kept at 0°C and 90°C respectively. The temperature of junction of the three
rods is 10 T°C, then the value of T is ?

22

6_6

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A body cools from 62°C to 50°C in 10 min when the temperature of the surrounding
is 26°C. What is the decrease in the temperature(in°0C) in the next 10 min is
23
approximately?
8_8

A proton and an α− particle enter a uniform magnetic field perpendicular with the
same speed. If the proton takes 25 μ s to make 5 revolutions, then the periodic time
24
for the α− particle would be 2x μ s. Then x = ?
5_5

A rod of length I and total charge q which is uniformly distributed, is rotating with
angular velocity ω about an axis passing through the centre of rod and perpendicular
25 to rod find the magnitude of magnetic dipole moment (in Am )
2
of rod, if q = 4C, ω =
3 rad/sec and I = 2m.
2_2

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