There Are 45 MCQ’s in All
Date : 19-10-2015
Each Question Carries +4 Marks For The Correct Response & -1 For The Incorrect
M.M. 180
Time Allotted : 1 Hour
No Extra Time Shall Be Provided To The Late-Coming Candidates
Only a Single Completely Darkened Circle in Shall Be Considered Correct
MCQ Test Series In Physics Targeting
JEE Mains & AIPMT 2016
Dimensions, One Dimension & Refraction
01. In υ – t graph shown in fig., the distance traveled
by the body in 5 second will be (a) 20 m
(b) 40 m (c) 80 m (d) 100 m
02. A calorie is a unit of heat and equals 4.2 J.
Suppose we employ α system of units in which the unit of mass is α kg, the unit of length is β metre and the unit of time is γ second. In this new system, 1 calorie =
(a) α-1β-2γ2 (b) 4.2 αβ2γ-2 (c) αβ2γ-2
(d) 4.2 α-1β-2γ2
03. A fish in a pond of water (μ = 1.33) views the
setting sun. According to fish, the sun makes an angle of (with the horizon) : [sin-1 (1/1.33) = 48.6o] (a) 0o (b) 90o
(c) 48.6o (d) 41.4o
04. Depict the shown υ-x graph in a-x graph
05. Which of the following curves represent the υ-t
graph of an object falling on a metallic surface and bouncing back? 40 20 10 0 -10 -20 2 3 4 5
time (in second)
υ ( in m s -1 ) O x0 x υ0 (a) a x (b) a x (d) a x (c) a x t υ (a) t υ (b)
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06. A man in a balloon rising vertically with an
acceleration of 4.9 m s-2 releases a ball 2 s after the balloon is let go from the ground. The greatest height above the ground reached by the ball is (g = 9.8 m s-2)
(a) 24.5 m (b) 19.6 m (c) 14.7 m (d) 9.8 m
07. For the displacement-time graph shown in fig., the
ratio of the magnitudes of the speeds during the first two second and the next four second is
(a) 1 : 1 (b) 2 : 1 (c) 1 : 2 (d) 3 : 2
08. Two trains travelling on the same track are
approaching each other with equal speeds of 40 ms-1. The drivers of the trains begin to decelerate simultaneously when they are just 2 km apart. If the decelerations are both uniform and equal, then the value of deceleration to barely avoid collision should be
(a) 0.8 ms-2 (b) 2.1 ms-2 (c) 11.0 ms-2 (d) 13.2 ms-2
09. The density of the material of a cube is measured
by measuring its mass and length of its side. If the maximum errors in the measurement of mass and the length are 3% and 2% respectively, the maximum error in the measurement of density is (a) 1% (b) 5%
(c) 7% (d) 9%
10. Given : Potential difference, V = (8 ± 0.5) V and
current, I = (2 ± 0.2) A. The value of resistance R is
(a) 4 ± 16.25% (b) 4 ± 6.25% (c) 4 ± 10% (d) 4 ± 8%
11. A particle oscillates along the x-axis according to
the equation x = 0.05 sin (5t – π/6), where x is in metre and t is in second. Its velocity at t = 0 is (a) 0.25 m s-1 (b) 0.22 m s-1 (c) 2.5 m s-1 (d) 0.13 m s-1
12. The distance x covered by a particle in
one-dimensional motion varies with time t as :
2 2
2
x
at
bt
c
. The acceleration of the particle varies as(a) x-3 (b) x3/2 (c) x2 (d) x-2/3
13. A rocket is fired upwards. Its engine explodes
fully in 12 second. The height reached by the rocket as calculated from its velocity-time graph is (a) 1200 × 66 m
(b) 1200 × 132 m (c)
1200
12
m
(d) 1200 × 122 m14. If there is a positive error of 50% in the
measurement of speed of a body, then the error in the kinetic energy is
(a) 25% (b) 50% (c) 100% (d) 125%
15. The velocity of a body which has fallen freely
under gravity varies as gp hq, where g is the acceleration due to gravity and ‘h’ is the height through which it has fallen. The values of p and q are (a)
1 1
,
2 2
(b)1
,
1
2
2
(c)1 1
,
2 2
(d)1
1
,
2
2
t υ (c) t υ (d) 20 m 0 s 2 s 6 s time d is p la ce m en t 1200 132 12 t(in second) υ ( in m s -1 )Code -
16. The graph shown in Fig. shows the velocity υ
versus time t for a body. Which of the graphs shown in fig. represents the corresponding acceleration versus time graphs?
17. Viewed normally through the flat surface, the
greatest thickness of a plano-convex lens appears to be 2 cm and when viewed through its curved surface, it appears to be
20
9
cm. The actual thickness of the lens is 3 cm. The refractive index of the material of the lens is(a)
27
20
(b)3
2
(c)10
7
(d)20
9
18. A train starting from rest travels the first part of its
journey with constant acceleration a, second part with constant velocity υ and third part with constant retardation a being brought to rest. The average speed for the whole journey is
7
8
. The train travels with constant velocity for ……. of the total time (a)
3
4
(b)7
8
(c)5
6
(d)9
7
19. In Q. 18, the fraction of the distance traveled by
body with uniform speed to the whole distance is (a)
6
7
(b)7
8
(c)5
6
(d)3
4
20. Refer to x-t graph. Which of the following is
incorrect?
(a) At D, velocity is positive. (b) At F, motion is in the-x direction.
(c) At C, velocity is +ve. (d) All of these
21. A diverging beam of light from a point source S
having divergence angle α, falls symmetrically on a glass slab as shown in fig. The angles of incidence of the two extreme rays are equal. If the thickness of the glass slab is t and the refractive index is n, then the divergence angle of the emergent beam is (a) Zero (b) α (c) sin 1 1 n (d) 2 sin 1 1 n
22. A light ray is incident perpendicularly to one face
of a 90o prism and it totally internally reflected at the glass-air interface. If the angle of reflection is 45o, we conclude that the refractive index n
(a)
1
2
n
(b) n 2 (c)1
2
n
(d) n 2 t υ (a) t a (b) t a (d) t a (c) t a t x C D F S n t i i α 45o 45oCode -
23. Two transparent media A and B are separated by a
plane boundary. The speed of light in medium A is 2.0 × 108 ms-1 and in medium B is 2.5 × 108 ms-1. The critical angle for which ray of light going from A to B is totally internally reflected is (a) sin-1 1/2 (b) sin-1 2/5 (c) sin-1 5/2 (d) sin-1 4/5
24. Fig. shows the acceleration-time graph of a
particle. Which of the following represents the corresponding velocity-time graph?
25. ACB is a right-angled prism with other angles as
60o and 30o. Refractive index of prism is 1.5. AB has a thin layer of liquid on it as shown. Light falls normally on the face AC. For total internal reflection, maximum refractive index of liquid is (a) 1.4
(b) 1.3
(c) 1.2 (d) 1.6
26. A point source is located 275 cm below the surface
of a lake. The area of the surface that transmits all the light that emerges from the surface is
(a) 0.304 m2 (b) 3.04 m2 (c) 30.5 m2 (d) 304 m2
27. The least count of a stop watch is 0.2 second. The
time of 20 oscillations of a pendulum is measured
to be 25 second. The percentage error in the measurement f time will be
(a) 8% (b) 1.8% (c) 0.8% (d) 0.1%
28. A ray of light from a denser medium strikes a rarer
medium at an angle of incidence i. The reflected and refracted rays make an angle of π/2 with each other. If the angles of reflection and refraction are r and
r
, then the critical angle will be(a) tan-1 (sin i) (b) sin-1 (sin r) (c) sin-1 (tan i) (d) sin-1 (tan
r
)29. From a high tower at time t = 0, one stone is
dropped from rest and simultaneously another stone is projected vertically up with an initial velocity. The graph of the distance ‘S’ between the two stones, before either hits the ground, plotted against time ‘t’ will be as
30. A ray of light enters a rectangular glass slab of
refractive index
3
at an angle of incidence 60o. It travels a distance of 5 cm inside the slab and emerges out of the slab. The perpendicular distance between the incident and the emergent rays is (a) 5 3 cm (b) 5 2 cm (c) 5 3 2 cm (d) 5 cm31. Fig. shows a glass prism of refractive index 1.5
immersed in water. A ray of light is shown to be t a υ t (a) υ t (b) υ t (c) υ t (d) 60o 30o C A B (a) S t O O (c) S t O O (b) S t O O (d) S t O O
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incident on the face AC. After reflection from AC, it meets BC normally. Given : refractive indices of glass and water are
3
2
and4
3
respectively. Now, sinθ (a) = 1 (b) = critical angle (c)8
9
(d)2
3
32. A resistor of 10 kΩ having tolerance 10% is
connected in series with another resistor of 20 kΩ having tolerance 20%. The tolerance of the combination will be approximately
(a) 10% (b) 13% (c) 17% (d) 20%
33. One side of a cubical block is measured with the
help of a vernier calipers of vernier constant 0.01 cm. This side comes out to be 1.23 cm. What is the percentage error in the measurement of area? (a)
1.23
100
0.01
(b)0.01
100
1.23
(c)2
0.01
100
1.23
(d)3
0.01
100
1.23
34. The displacement time graph of a moving object is
shown in fig. Which of the velocity-time graphs shown in fig. 20 could represent the motion of the same body?
35. Two optical media of refractive indices n1 and n2
contain x and y waves of the same colour in the same thickness. Then their relative refractive index 1n2 is equal to (a) x – y (b)
y
x
(c)y
x
x
(d)x
y
x
36. A body, moving along a straight line with uniform
acceleration, starts from point O and passes through points A, B, C, D at distances x1, x2, x3, x4 from O. It covers distances AB, BC and CD in equal intervals of time. Then (x4 – x1) is equal to. (a) (x2 – x3) (b) 2(x2 – x4)
(c) 3(x2 – x3) (d) 3(x3 – x2)
37. The graph depicts the velocity of an object at
various times during its motion. The shaded portion of the graph has an area equal to
(a) The average acceleration
(b) Distance moved during uniform motion (c) Distance moved during accelerated motion (d) The average velocity
38. The velocity of transverse wave in a string is
T m
, where T is the tension in the string and m is mass per unit length. If T = 3.0 kgf, mass of string is 2.5 g and length of string is 1.000 m, then the percentage error in the measurement of velocity is (a) 0.5 (b) 0.7 10 time(s) 0 2 4 6 8 10 10 20 30 40 Dis p lace m en t t υ t υ (a) (b) t υ (d) t υ (c) t υ(t) A C
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(c) 2.3 (d) 3.6
39. By how much an ink dot appears to be raised when
covered by a glass plate 4.5 cm thick if the velocity of light in glass is 2 × 1010 cm s-1 and in air 3 × 1010 cm s-1?
(a) 1.5 cm (b) 3 cm (c) 4.5 cm (d) 0
40. A rectangular block of glass of refractive index μ
and thickness d is placed over an ink dot made on a piece of paper lying on a table. When viewed from above, the dot will appear to be raised by an amount given by (a)
1
d
(b)
1
d
(c)
1
d
(d)
1
d
41. The relation between time t and distance x is
2
t
x
x
where α and β are constants. The retardation is(a) 2αυ3
(b) 2βυ3 (c) 2αβυ3
(d) 2β2υ2
42. Refractive index of water relative to air is 1.33 and
that of an oil with respect to air is 1.45. The refractive indices of oil with respect to water and of water with respect to oil are
(a) 0.91, 1.09 (b) 1.09, 0.92 (c) 0.75, 1.07 (d) 1.07, 0.75
43. Two balls of equal masses are thrown upwards,
along the same vertical direction, at an interval of 2 s, with the same initial velocity of 39.2 m s-1. Then these collide at a height of
(a) 44.1 m (b) 73.5 m (c) 117.6 m (d) 196.0 m
44. The pressure on a square plate is measured by
measuring the force on the plate and the length of the sides of the plate by using the formula
P
F
2l
.If the maximum errors in the measurement of force and length are 4% and 2% respectively, then the maximum error in the measurement of pressure is
(a) 1% (b) 2% (c) 8% (d) 10%
45. A car is moving along a straight road with uniform
acceleration. It passes through two points P and Q separated by a distance with velocities 30 km h-1 and 40 km h-1 respectively. The velocity of car midway between P and Q is
(a) 33.3 km h-1 (b)
