2. Dimensions, One Dim. and Refraction Beta-code (New Format)



MCQ Test Series In Physics Targeting JEE Mains & AIPMT 2016 Dimensions, One Dimension & Refraction Date : 19-10-2015

 There Are 45 MCQ’s in All

 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

01.

In υ – t graph shown in fig., the distance traveled

04.

Depict the shown υ-x graph in a-x graph

(a) 20 m (b) 40 m (c) 80 m (d) 100 m 02.

υ (in ms-1)

by the body in 5 second will be υ0

40

20 10 0 -10 -20

O a 2

3

a

5 time (in second)

4

x

x0

x

x

A calorie is a unit of heat and equals 4.2 J. (a)

Suppose we employ α system of units in which the

(b)

a

unit of mass is α kg, the unit of length is β metre

a

and the unit of time is γ second. In this new

x

system, 1 calorie = (a) α-1β-2γ2

(b) 4.2 αβ2γ-2

(c) αβ γ

(d) 4.2 α β γ

2 -2

03.

x (d)

(c)

-1 -2 2

05.

Which of the following curves represent the υ-t

A fish in a pond of water (μ = 1.33) views the

graph of an object falling on a metallic surface and

setting sun. According to fish, the sun makes an

bouncing back?

-1

o

angle of (with the horizon) : [sin (1/1.33) = 48.6 ] (a) 0o

(b) 90o

(c) 48.6o

(d) 41.4o

υ

υ t (a)

t (b)

Code -  10.

Given : Potential difference, V = (8 ± 0.5) V and current, I = (2 ± 0.2) A. The value of resistance R

υ

υ

is

t (c)

(d)

A man in a balloon rising vertically with an

11.

(c) 4 ± 10%

(d) 4 ± 8%

A particle oscillates along the x-axis according to the equation x = 0.05 sin (5t – π/6), where x is in

balloon is let go from the ground. The greatest

metre and t is in second. Its velocity at t = 0 is

height above the ground reached by the ball is (g =

(a) 0.25 m s-1

(b) 0.22 m s-1

9.8 m s-2)

(c) 2.5 m s-1

(d) 0.13 m s-1

(a) 24.5 m

(b) 19.6 m

(c) 14.7 m

(d) 9.8 m

12.

The distance x covered by a particle in onedimensional motion varies with time t as :

x2  at 2  2bt  c . The acceleration of the

ratio of the magnitudes of the speeds during the

particle varies as

first two second and the next four second is

(a) x-3

(b) x3/2

(c) x2

(d) x-2/3

displacement

For the displacement-time graph shown in fig., the

(a) 1 : 1 (b) 2 : 1 (c) 1 : 2

0s

(d) 3 : 2 08.

(b) 4 ± 6.25%

acceleration of 4.9 m s releases a ball 2 s after the

-2

07.

(a) 4 ± 16.25%

13.

20 m

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

2s time

6s

(a) 1200 × 66 m

Two trains travelling on the same track are

(b) 1200 × 132 m

approaching each other with equal speeds of 40 (c)

simultaneously when they are just 2 km apart. If

(d) 1200 × 122 m 14.

12 t(in second)

132

If there is a positive error of 50% in the

the value of deceleration to barely avoid collision

measurement of speed of a body, then the error in

should be

the kinetic energy is

(a) 0.8 ms

-2

(c) 11.0 ms 09.

1200 m 12

ms-1. The drivers of the trains begin to decelerate

the decelerations are both uniform and equal, then

1200 υ (in ms-1)

06.

t

-2

(b) 2.1 ms

-2

(d) 13.2 ms

-2

The density of the material of a cube is measured

15.

(a) 25%

(b) 50%

(c) 100%

(d) 125%

The velocity of a body which has fallen freely

by measuring its mass and length of its side. If the

under gravity varies as gp hq, where g is the

maximum errors in the measurement of mass and

acceleration due to gravity and ‘h’ is the height

the length are 3% and 2% respectively, the

through which it has fallen. The values of p and q

maximum error in the measurement of density is

are

(a) 1% (c) 7%

(b) 5% (d) 9%

1 1 2 2

(a)  , (c)

1 1 , 2 2

(b)

1 1 , 2 2 1 2

(d)  , 

1 2

Code -  The graph shown in Fig. shows the velocity υ

16.

(c)

versus time t for a body. Which of the graphs shown in fig. represents the corresponding

19.

(d)

9 7

In Q. 18, the fraction of the distance traveled by body with uniform speed to the whole distance is

acceleration versus time graphs?

(a)

6 7

(b)

7 8

(c)

5 6

(d)

3 4

υ t

20. a

5 6

Refer to x-t graph. Which of the following is incorrect?

a

D

t

(a) At D, velocity is positive.

t

(b) At F, motion is in the-x

(b)

(a)

x C

direction. t

(c) At C, velocity is +ve. a

a

(d) All of these

t

t

(c)

17.

21.

A diverging beam of light from a point source S having divergence angle α, falls symmetrically on

(d)

Viewed normally through the flat surface, the

a glass slab as shown in fig. The angles of

greatest thickness of a plano-convex lens appears

incidence of the two extreme rays are equal. If the

to be 2 cm and when viewed through its curved

thickness of the glass slab is t and the refractive

20 cm. The actual 9

index is n, then the divergence angle of the

surface, it appears to be

18.

F

emergent beam is

thickness of the lens is 3 cm. The refractive index

(a) Zero

S

of the material of the lens is

(b) α

α

1 n

(a)

27 20

(b)

3 2

(c) sin 1  

(c)

10 7

(d)

20 9

(d) 2sin 1  

i

i

1 n

A train starting from rest travels the first part of its

22.

n

t

A light ray is incident perpendicularly to one face

journey with constant acceleration a, second part

of a 90o prism and it totally internally reflected at

with constant velocity υ and third part with

the glass-air interface. If the angle of reflection is

constant retardation a being brought to rest. The

45o, we conclude that the refractive index n

average speed for the whole journey is

7 . The 8

train travels with constant velocity for ……. of the total time (a)

3 4

(b)

7 8

(a) n 

1 2

(b) n  2 (c) n 

1 2

45o 45o

(d) n  2

Code -  23.

Two transparent media A and B are separated by a

to be 25 second. The percentage error in the

plane boundary. The speed of light in medium A is

measurement f time will be

8

-1

8

-1

2.0 × 10 ms and in medium B is 2.5 × 10 ms .

(a) 8%

(b) 1.8%

The critical angle for which ray of light going

(c) 0.8%

(d) 0.1%

from A to B is totally internally reflected is (a) sin-1 1/2

(b) sin-1 2/5

-1

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

-1

(c) sin 5/2 24.

28.

(d) sin 4/5

Fig. shows the acceleration-time graph of a

other. If the angles of reflection and refraction are

particle. Which of the following represents the

r and r  , then the critical angle will be

corresponding velocity-time graph?

(a) tan-1 (sin i)

(b) sin-1 (sin r)

(c) sin-1 (tan i)

(d) sin-1 (tan r  )

29. a

From a high tower at time t = 0, one stone is dropped from rest and simultaneously another

t

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

υ

υ

against time ‘t’ will be as

t

t

(a)

(b)

υ

υ

O

t

t

(c)

25.

S O

S O

O

has a thin layer of liquid on it as shown. Light falls normally on the face AC. For total internal

30.

reflection, maximum refractive index of liquid is A

B 60o

t (c)

O

t (d)

A ray of light enters a rectangular glass slab of refractive index

30o

3 at an angle of incidence 60o.

It travels a distance of 5 cm inside the slab and

(b) 1.3

emerges out of the slab. The perpendicular

(c) 1.2

C

(d) 1.6

distance between the incident and the emergent

A point source is located 275 cm below the surface

rays is

of a lake. The area of the surface that transmits all the light that emerges from the surface is 2

(a) 0.304 m 2

(c) 30.5 m 27.

t (b)

S O

S O

60o and 30o. Refractive index of prism is 1.5. AB

26.

O

(d)

ACB is a right-angled prism with other angles as

(a) 1.4

t (a)

(a) 5 3 cm

(b) 5 cm

(c) 5 3 cm

(d) 5 cm

2

2

(b) 3.04 m

2

2

(d) 304 m

The least count of a stop watch is 0.2 second. The time of 20 oscillations of a pendulum is measured

31.

Fig. shows a glass prism of refractive index 1.5 immersed in water. A ray of light is shown to be

Code -  incident on the face AC. After reflection from AC, it meets BC normally. Given : refractive indices of glass and water are

(c)

3 4 and respectively. Now, 2 3

sinθ

A

35.

8 9

(d) 

Two optical media of refractive indices n1 and n2

1n2

2 3

A resistor of 10 kΩ having tolerance 10% is

combination will be approximately

is equal to

(a) x – y (c)

having tolerance 20%. The tolerance of the 36.

yx x

(b)

y x

(d)

x yx

A body, moving along a straight line with uniform

(a) 10%

(b) 13%

acceleration, starts from point O and passes

(c) 17%

(d) 20%

through points A, B, C, D at distances x1, x2, x3, x4

One side of a cubical block is measured with the

from O. It covers distances AB, BC and CD in

help of a vernier calipers of vernier constant 0.01

equal intervals of time. Then (x4 – x1) is equal to.

cm. This side comes out to be 1.23 cm. What is the

(a) (x2 – x3)

(b) 2(x2 – x4)

percentage error in the measurement of area?

(c) 3(x2 – x3)

(d) 3(x3 – x2)

(a)

1.23 100 0.01

(c) 2 

(b)

0.01 100 1.23

0.01 100 1.23

(d) 3 

37.

The graph depicts the velocity of an object at various times during its motion. The shaded

0.01 100 1.23

portion of the graph has an area equal to

The displacement time graph of a moving object is υ(t)

shown in fig. Which of the velocity-time graphs shown in fig. 20 could represent the motion of the

t

same body?

(a) The average acceleration (b) Distance moved during uniform motion

40 Displacement

34.

t

same thickness. Then their relative refractive index

C

connected in series with another resistor of 20 kΩ

33.

υ

contain x and y waves of the same colour in the

(b) = critical angle

32.

(d)

t

(a) = 1

(c) 

υ

(c) Distance moved during accelerated motion

30

(d) The average velocity

20

38.

10 0

2

4

6

8

10

10 time(s)

The velocity of transverse wave in a string is 

T , where T is the tension in the string and m 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

(a)

υ

(b) t

υ

the percentage error in the measurement of t

velocity is (a) 0.5

(b) 0.7

Code -  (c) 2.3 39.

(d) 3.6

44.

By how much an ink dot appears to be raised when

measuring the force on the plate and the length of

covered by a glass plate 4.5 cm thick if the

the sides of the plate by using the formula P 

10

-1

velocity of light in glass is 2 × 10 cm s and in air 3 × 1010 cm s-1?

40.

(a) 1.5 cm

(b) 3 cm

force and length are 4% and 2% respectively, then

(c) 4.5 cm

(d) 0

the maximum error in the measurement of pressure

A rectangular block of glass of refractive index μ

is

and thickness d is placed over an ink dot made on

(a) 1%

(b) 2%

a piece of paper lying on a table. When viewed

(c) 8%

(d) 10%

(a)    1

(c)

d



d    1

(b)    1

A car is moving along a straight road with uniform

(d)

d

separated by a distance with velocities 30 km h -1



and 40 km h-1 respectively. The velocity of car

d    1

The relation between time t and distance x is

t   x2   x where α and β are constants. The retardation is (a) 2αυ3

(b) 2βυ3

(c) 2αβυ3

(d) 2β2υ2

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

43.

45.

acceleration. It passes through two points P and Q

amount given by

42.

F . l2

If the maximum errors in the measurement of

from above, the dot will appear to be raised by an

41.

The pressure on a square plate is measured by

(a) 0.91, 1.09

(b) 1.09, 0.92

(c) 0.75, 1.07

(d) 1.07, 0.75

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

midway between P and Q is (a) 33.3 km h-1

(b) 20 3 km h-1

(c) 25 2 km h-1

(d) 35.35 km h-1

Code -  MCQ Test Series In Physics Targeting JEE Mains & AIPMT 2016 Dimensions, One Dimension & Refraction Code - 

01.

D

11.

B

21.

B

31.

C

41.

A

02.

D

12.

A

22.

B

32.

C

42.

B

03.

D

13.

A

23.

D

33.

C

43.

B

04.

A

14.

D

24.

B

34.

C

44.

C

05.

D

15.

C

25.

B

35.

B

45.

D

06.

C

16.

B

26.

C

36.

D

07.

B

17.

B

27.

C

37.

C

08.

A

18.

A

28.

C

38.

D

09.

D

19.

A

29.

A

39.

A

10.

A

20.

A

30.

B

40.

A