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Worksheets

Class 11 PHYSICS

Total questions: 35

Worksheet time: 35mins

Name
Class
Date
1.

the mass of the liquid flowing per second per unit area of cross-section of the tube is proportional to (pressure difference across the ends)n and (average velocity)m of the liquid. which one of the following relations is correct?

a)

m=n

b)

m=-n

c)

m2= n

d)

m = -n2

2.

the ratio of the dimensions of Plank's constant and that of the moment of inertia has the dimensions of

a)

angular momentum

b)

time

c)

velocity

d)

frequency

3.

if the absolute errors in two physical quantities A and B are a and b respectively, then the absolute error in the value of A-B is

a)

b-a

b)

a/b

c)

a+b

d)

a-b

4.

A vector a is turned without a change in its length through a small angle  dθd\theta  , the value of  Δa\left|\Delta a\right|  is 

a)

 a.dθa.d\theta  

b)

 2a sin(dθ2)2a\ \sin\left(\frac{d\theta}{2}\right)  

c)

0

d)

none of these

5.

the resultant of two forces, one double the other in magnitude, is perpendicular to the smaller of the two forces. the angle between the two forces is

a)

120o

b)

135o

c)

90o

d)

150o

6.

if A and B are two non-zero vectors having equal magnitude, the angle between the vectors A and A-B is

a)

0o

b)

90o

c)

180o

d)

dependent on the orientation of A and B

7.

which of the following statement is true?

a)

when the coordinate axes have translated the component of a vector in a plane changes.

b)

when the coordinate axes are rotated through some angle components of the vectors change but the vector's magnitude remains constant.

c)

the sum of a and b is R. if the magnitude of a alone is increased angle between b and R decreases.

d)

the cross product of vectors 3i and 4j is 12.

8.

In one dimensional motion, instantaneous speed v satisfies 0 ≤ v < v0

a)

The displacement in time T must always take non-negative values.

b)

The displacement x in time T satisfies – vo T < x < vo T.

c)

The acceleration is always a non-negative number.

d)

The motion has no turning points.

9.

the displacement (x) of a particle depends on time I as

The motion has no turning points  x = αt2βt3x\ =\ \alpha t^2-\beta t^3  . choose the incorrect statements from the following-

a)

the particle never returns to the starting point.

b)

the particle comes to the rest after time  2α3β\frac{2\alpha}{3\beta}  

c)

the initial velocity of the particle is zero.

d)

the initial acceleration of the particle is zero. 

10.

The displacement - time graph of a moving particle is shown below. The instantaneous velocity of the particle is negative at the point :

a)

E

b)

F

c)

C

d)

D

11.

Three balls of the same masses are projected with equal speeds at angle 15o,45o,75o and their ranges are respectively R1​,R2​ and R3​ then:

a)

R1>R2>R3

b)

R1<R2<R3

c)

R1=R2=R3

d)

R1=R3<R2

12.

A ball is thrown from a point with a speed  v0v_0  ​ at an angle of projection 'θ'. From the same point and at the same instant a person starts running with a constant speed v02\frac{v_0}{2}   to catch the ball. Will the person be able to catch the ball? If yes, what should be the angle of projection?

a)

yes, 60o60^o  

b)

yes, 30o30^o  

c)

no

d)

yes, 45o45^o  

13.

A projectile A is thrown at an angle of  30o30^o   to the horizontal from point P. At the same time, another projectile B is thrown with velocity  v2v_2  ​ upwards from the point Q vertically below the highest point. For B to collide with A, the ratio ​​ v1v2\frac{v_1}{v_2}   should be

a)

 32\frac{\sqrt{3}}{2}  

b)

2

c)

 12\frac{1}{2}  

d)

 23\frac{2}{\sqrt{3}}  

14.

A dynamometer D is attached to two blocks of masses 6 kg and 4 kg as shown in the figure. The reading of the dynamometer is?

a)

18

b)

28

c)

38

d)

48

15.

A pendulum of mass m hangs from support fixed to a trolley. The direction of the string (i.e. angle θ) when the trolley rolls up a plane of inclination α with acceleration a is :

a)

0

b)

tan1α\tan^{-1}\alpha

c)

tan1 (a+gsinα)gcosα\tan^{-1}\ \frac{\left(a+g\sin\alpha\right)}{g\cos\alpha}

d)

tan1 ag\tan^{-1}\ \frac{a}{g}

16.

In the figure, pulleys are smooth and strings are massless m1​=1kg and m2​=1/3​kg. To keep m3​ at rest, m3​ should be

a)

1kg

b)

23\frac{2}{3} kg

c)

14\frac{1}{4} kg

d)

2 kg

17.

A proton is kept at rest. A positively charged particle is released from rest at a distance d in its field. Consider two experiments; one in which the charged particle is also a proton and in another, a positron. At the same time t, the work done on the two moving charged particles is

a)

same as the same force law is involved in the two experiments.

b)

less for the case of a positron, as the positron moves away more rapidly and the force on it weakens.

c)

more for the case of a positron, as the positron moves away a larger distance.

d)

same as the work done by charged particle on the stationary proton.

18.

A body is falling freely under the action of gravity alone in vacuum. Which of the following quantities remain constant during the fall?

a)

Kinetic energy.

b)

Potential energy

c)

Total mechanical energy.

d)

Total linear momentum.

19.

A tall cylinder is filled with viscous oil. A round pebble is dropped from the top with zero initial velocity. From the plot shown in Fig, indicate the one that represents the velocity (v) of the pebble as a function of time (t).

a)
b)
c)
d)
20.

Along a streamline________________

a)

the velocity of a fluid particle remains constant.

b)

the velocity of all fluid particles crossing a given position is constant.

c)

the velocity of all fluid particles at a given instant is constant.

d)

the speed of a fluid particle remains constant.

21.

case study based: collision:
A block C of mass m is moving with velocity  v0v_0  ​ and collides elastically with block A of mass m which is connected to another block B of mass 2m through spring of spring constant k. What is k if  x0x_0  ​ is the compression of spring when the velocity of A and B is the same?

a)

 mv02x02\frac{mv_0^2}{x_0^2}  

b)

 mv022x02\frac{mv_0^2}{2x_0^2}  

c)

 3mv022x02\frac{3mv_0^2}{2x_0^2}  

d)

 2mv023x02\frac{2mv_0^2}{3x_0^2}  

22.

case study based: collision:

Two identical ball bearings in contact with each other and resting on a frictionless table are hit head-on by another ball bearing of the same mass moving initially with a speed V as shown in Fig.

If the collision is elastic, which of the following (Fig.) is a possible result after collision?

a)

a

b)

b

c)

c

d)

d

23.

case study based: collision:

which of the following is true about the perfectly inelastic collision.

a)

the total energy of the system remains constant

b)

conservation of linear momentum depends on the time of the collision

c)

linear momentum always remains constant

d)

neither momentum nor energy remains conserved

24.

case study based: collision:

A particle of mass m moving with a speed v hits elastically another stationary particle of mass 2m on a smooth horizontal circular tube of radius r. The time in which the next collision will take place is equal to

a)

2πrv\frac{2\pi r}{v}

b)

4πrv\frac{4\pi r}{v}

c)

3πr2v\frac{3\pi r}{2v}

d)

πrv\frac{\pi r}{v}

25.

case study based: Rotational motion:

A rotating wheel changes angular speed from 1800 rpm to 3000 rpm in 20 s. What is the angular acceleration assuming to be uniform?

a)

60π rad s260\pi\ rad\ s^{-2}

b)

90π rad s290\pi\ rad\ s^{-2}

c)

2π rad s22\pi\ rad\ s^{-2}

d)

40π rad s240\pi\ rad\ s^{-2}

26.

A body rotating with uniform angular acceleration covers 100π(radian) in the first 5 s after the start. Its angular speed at the end of 5 s (in radian/s) is then

a)

40π

b)

30π

c)

20π

d)

10π

27.

A wheel has an angular acceleration of 3.0rad/s2 and an initial angular speed of 2.00 rad/s. In a time of 2 s it has rotated through an angle (in radian) of

a)

6

b)

10

c)

12

d)

4

28.

A body rotates about a fixed axis with an angular acceleration of 1 rad/sec2. the angle rotated by it during the time in which its angular velocity increases from 5 rad/s to 15 rad/s (in radian) is:

a)

100

b)

200

c)

250

d)

150

29.

Assertion: Particle-1 is dropped from a tower and particle-2 is projected horizontally from the same tower. Then both the particles reach the ground simultaneously.

Reason: Both are particles strike the ground at different speeds.

a)

Both A and R are true and R is explanation of A the correct

b)

Both A and R are true but R is NOT the correct explanation of A

c)

A is true but R is false

d)

A is false but R is true

30.

Assertion: A reference frame attached to earth is an inertial frame of reference.

Reason: The reference frame which has zero acceleration is called a non-inertial frame of reference.

a)

Both A and R are true and R is explanation of A the correct

b)

Both A and R are true but R is NOT the correct explanation of A

c)

A is true but R is false

d)

A is false but R is true

31.

Assertion: total work done by spring may be positive, negative or

Reason: The direction of the spring force is always towards the mean position.

a)

Both A and R are true and R is explanation of A the correct

b)

Both A and R are true but R is NOT the correct explanation of A

c)

A is true but R is false

d)

A is false but R is true

32.

Assertion: The moment of inertia of a rigid body about any axis passing through its centre of mass is minimum

Reason: theorem of parallel axis can be applied for 2-D as well as 3-D bodies.

a)

Both A and R are true and R is explanation of A the correct

b)

Both A and R are true but R is NOT the correct explanation of A

c)

A is true but R is false

d)

A is false but R is true

33.

Assertion: The materials having a low value of Young's modulus of elasticity are more ductile.

Reason: If Young's modulus is less, they can be easily stretched as wires.

a)

Both A and R are true and R is explanation of A the correct

b)

Both A and R are true but R is NOT the correct explanation of A

c)

A is true but R is false

d)

A is false but R is true

34.

Assertion: Young's modulus of elasticity is not defined for liquids.

Reason: Liquids cannot be stretched as wires.

a)

Both A and R are true and R is explanation of A the correct

b)

Both A and R are true but R is NOT the correct explanation of A

c)

A is true but R is false

d)

A is false but R is true

35.

Assertion: Deep inside a liquid density is more than the density on the surface.

Reason: The density of liquid increases with increase in depth.

a)

Both A and R are true and R is explanation of A the correct

b)

Both A and R are true but R is NOT the correct explanation of A

c)

A is true but R is false

d)

A is false but R is true