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UNIT TEST- Class 11 Physics

Total questions: 30

Worksheet time: 37mins

Name
Class
Date
1.

The speed of a swimmer in still water is 20 m/s. The speed of river water is 10 m/s and is flowing due east. If he is standing on the south bank and wishes to cross the river along the shortest path the angle at which he should make his strokes w.r.t. north is given by :

a)

30° west

b)

c)

60° west

d)

45° west

2.

Two particles A and B are moving in uniform circular motion in concentric circles of radii  rAr_A   and  rBr_B with speed  vAv_A   and  vBv_B   respectively. Their time period of rotation is the same. The ratio of angular speed of A to that of B will be :

a)

 rA : rBr_A\ :\ r_B  

b)

1:1

c)

 vA: vBv_A:\ v_B  

d)

 rB : rAr_B\ :\ r_A  

3.

When an object is shot from the bottom of a long smooth inclined plane kept at an angle 60° with horizontal, it can travel a distance  x1x_1    along the plane. But when the inclination is decreased to 30° and the same object is shot
with the same velocity, it can travel  x2x_2   distance. Then  x1: x2x_1:\ x_2   will be:

a)

 1:21:\sqrt{2}  

b)

 2: 1\sqrt{2}:\ 1  

c)

 1: 31:\ \sqrt{3}  

d)

 1 : 231\ :\ 2\sqrt{3}  

4.

In an experiment, the percentage of error occurred in the measurement of physical quantities A, B, C and D are 1%, 2%, 3% and 4% respectively. Then the maximum percentage of error in the measurement X, where X =  A2 BC D3\frac{A^2\ \sqrt{B}}{\sqrt{C}\ D^3} will be

a)

(3/13) %

b)

16.5 %

c)

-10 %

d)

10 %

5.

The angle between  A\overrightarrow{A}   =   i +ji^`\ +j^`  and between   B \overrightarrow{B\ }  =   i ji^`\ -j`    is 

a)

 45045^0  

b)

 1200120^0  

c)

 30030^0  

d)

 90090^0  

6.

A block of mass 2 kg rests on a rough inclined plane making an angle of 30° with the horizontal. The co-efficient of static friction between the block and the plane is 0.7. The frictional force on the block is

a)

9.8 N

b)

3\sqrt{3} 9.8 N

c)

0.7 x 9.8 N

d)

None of the above

7.

In the arrangement, shown in the figure, the ends P and Q of an un-stretchable string move downwards with uniform speed u. Pulleys A and B are fixed. Mass M moves upwards with a speed -

a)

2ucosθ2u\cos\theta

b)

2ucosθ\frac{2u}{\cos\theta}

c)

ucosθ\frac{u}{\cos\theta}

d)

ucosθu\cos\theta

8.

The pulleys and the strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle  Θ\Theta   should be

a)

000^0

b)

30030^0

c)

45045^0

d)

60060^0

9.

What is the maximum value of the force F such that the block shown in the arrangement, does not move ? (g =  10 ms210\ ms^{-2} )

a)

20 N

b)

10 N

c)

15 N

d)

25 N

10.

In 1.0 sec. a particle goes from point A to point B, moving in a semicircle of radius 1.0 m as shown in the figure. The magnitude of the average velocity is :

a)

3.14 m/s

b)

2 m/s

c)

1 m/s

d)

0

11.

A body starts from rest at time t = 0, the acceleration time graph is shown in the figure. The maximum velocity attained by the body will be

a)

110 m/s

b)

55 m/s

c)

650 m/s

d)

550 m/s

12.

A wire of length L = 6±0.06cm and radius r = 0.5 ± 0.005cm and mass m = 0.3 ± 0.003g . Maximum percentage error in density is-

a)

4%

b)

2%

c)

1%

d)

None of the above

13.

Which of the following sets have different dimensions ?

a)

Pressure, Young’s modulus, stress

b)

Emf, potential difference, electric potential

c)

Heat, work done, energy

d)

Impulse, Momentum, Force

14.

A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/s. A plumb bob is suspended from the roof of the car by a light rigid rod. The angle made by the rod with the track is (g = 10 ms210\ ms^{-2}  )

a)

0

b)

 30030^0  

c)

 45045^0  

d)

 60060^0  

15.

Photon is quantum of radiation with energy E = hν where ν is frequency and h is Planck’s constant. The dimensions of h is

a)

M1 L2 T1M^1\ L^2\ T^{-1}

b)

M1 L2 T2M^1\ L^2\ T^{-2}

c)

M1 L1 T1M^1\ L^{-1}\ T^{-1}

d)

None of the above

16.

Which of the following are not a unit of time?

a)

Second

b)

Parsec

c)

Year

d)

Light year

17.

Which of the following time measuring devices is most precise?

a)

A wall clock

b)

A stop watch

c)

A digital watch

d)

An atomic clock

18.

The displacement of a particle is given by x =   (t2)2\left(t-2\right)^2   where x is in metres and t in seconds. At what time the velocity of the particle is zero-

a)

2 sec

b)

1 sec

c)

4 sec

d)

None of the above

19.

At what angle of projection with the horizon, the height is equal to horizon?

a)

tan24\tan^{-2}4

b)

sin14\sin^{-1}4

c)

tan14\tan^{-1}4

d)

None of the above

20.

Two particles are projected in air with speed  V0V_0   at angles  θ1\theta_1    and  θ2\theta_2   (both acute) to the horizontal, respectively. If the height reached by the first particle is greater than that of the second, then tick the right choices

a)

angle of projection :   θ1 >θ2\theta_1\ >\theta_2  

b)

Time of flight :  T1 =T2T_1\ =T_2  

c)

Horizontal range :  R1>R2R_1>R_2  

d)

Total energy :  U1>U2U_1>U_2  

21.

Static frictional force is a self adjusting force, then which one is correct-

a)

Static frictional force depends on area of contact

b)

Static frictional force remains constant with applied external force

c)

static frictional force depends on normal reaction force and (fs)max=μN\left(f_s\right)_{\max}=\mu N

d)

None of the above

22.

If two vectors are equal in magnitude and their resultant is also equal in magnitude to one of them then the angle between the two vectors is-

a)

90090^0

b)

1200120^0

c)

1350135^0

d)

None of the above

23.

If the error in the measurement of length is 2% and time period is 1%, then what is the error in measurement of 'g' from the given formula-

a)

3%

b)

6%

c)

4%

d)

None of the above

24.

What is the number of significant figures in 0.310× 10310^3  

a)

2

b)

3

c)

4

d)

6

25.

Describe the motion of the object modeled in the graph.

a)

The object starts at 20m, then travels right with a velocity of 5m/s for 8s.

b)

The object starts at 40m, then travels right with a velocity of 5m/s for 10s.

c)

The object starts at 20m, then travels left with a velocity of 5m/s for 8s.

d)

The object starts at 10m, then travels right with a velocity of -5m/s for 8s.

26.

The safe velocity of a car moving in a circular turn is-

a)

v =μrgv\ =\mu rg

b)

vμrgv\le\sqrt{\mu rg}

c)

vμrgv\ge\sqrt{\mu rg}

d)

None of the above

27.

A tachometer is a device to measure

a)

Gravitational pull

b)

Speed of rotation

c)

Tension in a string

d)

Tension in a spring

28.

The outer part of a railway track near the bend or a curve is generally raised- why?

a)

To produce the necessary centrifugal force

b)

To overcome air resistance force

c)

To produce the necessary centripetal force

d)

None of the above

29.

The angle of repose is-

a)

sin1μ\sin^{-1}\mu

b)

cos1μ\cos^{-1}\mu

c)

tanμ\tan\mu

d)

tan1μ\tan^{-1}\mu^{ }

30.

A ball is dropped from a satellite revolving around the earth at a certain height. What will happen with the ball?

a)

The ball will fall directly on the earth surface

b)

The ball will follow a straight line motion

c)

The ball will follow the same path of the satellite

d)

None of the above