Based on the current academic year, the question paper is prepared. In this question paper, it covers some of the important one mark questions from the book back and creative question.

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Questions:

Multiple Choice Question

52 x 1 = 52

If \(\overrightarrow {r}\) and \(\overrightarrow {F}\) are parallel or antiparallel, then the torque is _____________.

(a)

zero

(b)

minimum

(c)

maximum

(d)

infinity

Moment of inertia of a uniform solid cylinder about as axis passing perpendicular to the length and passing through the center is _______________.

(a)

MR²

(b)

M\(\left( \frac { { R }^{ 2 } }{ 2 } +\frac { { l }^{ 2 } }{ 12 } \right) \)

(c)

\(\frac { 1 }{ 2 } \)MR²

(d)

M\(\left( \frac { { R }^{ 2 } }{ 4 } +\frac { { l }^{ 2 } }{ 12 } \right) \)

The distance between the centres of carbon and oxygen atoms in the carbon monoxide gas molecule is 1.13 \(\overset{0}{A}\). The centre of mass of the molecule relative to oxygen atom is _______________.

(a)

0.602 \(\overset{0}{A}\)

(b)

0.527 \(\overset{0}{A}\)

(c)

1.13 \(\overset{0}{A}\)

(d)

0.565 \(\overset{0}{A}\)

A wheel is rotating with angular velocity 2 rad/s. It is subjected to a uniform angular acceleration 2 rad/s²then the angular velocity after 10s is _____________.

(a)

12 rad/s

(b)

20 rad/s

(c)

22 rad/s

(d)

120 rad/s

A car moves from X to Y with a uniform speed V_n and returns to Y with a uniform speed V_dThe average speed for this round trip is _____________.

(a)

\(\sqrt{V_uV_d}\)

(b)

\(\frac{V_uV_d}{V_d+V_u}\)

(c)

\(\frac{V_u+V_d}{2}\)

(d)

\(\frac{2V_dV_u}{V_d+V_u}\)

In non-uniform circular motion, the resultant acceleration is given by ______________.

(a)

\(a_R=\sqrt{a_t^2-(\frac{V^2}{r})^2}\)

(b)

\(a_R=\sqrt{a_t^2+(\frac{V^2}{r})^2}\)

(c)

\(a_R=\sqrt{a_t^2-(\frac{r}{V^2})^2}\)

(d)

\(a_R=\sqrt{a_t^2+(\frac{r}{V^2})^2}\)

The momentum of a particle is \(\vec P=\cos\theta\hat i+\sin\theta\hat j\) . The angle between momentum and the force acting on a body is ______________.

(a)

0^o

(b)

45^o

(c)

90^o

(d)

180^o

The scalar product of two vectors will be maximum when \(\theta\) is equal to ______________.

(a)

0^o

(b)

90^o

(c)

180^o

(d)

270^o

If \(\vec R=\vec P+\vec Q\), then which of the following is true?

(a)

P>Q

(b)

Q>P

(c)

P=Q

(d)

R>P, Q

10.

A particle falls from a height h on a fixed horizontal plate and rebounds. If e is the coefficient of restitution, the total distance travelled by the particle on rebounding when it stops is _______________.

(a)

\(\frac { h{ \left( 1+e \right) }^{ 2 } }{ { \left( 1-e \right) }^{ 2 } } \)

(b)

\(\frac { h\left( 1+e \right) }{ \left( 1-e \right) } \)

(c)

\(\frac { h{ \left( 1+e \right) }^{ 2 } }{ 1-{ e }^{ 2 } } \)

(d)

\(\frac { h{ \left( 1-e \right) }^{ 2 } }{ { \left( 1+e \right) }^{ 2 } } \)

11.

If the velocity of separation is equal to the velocity of approach, then the collision is _______________.

(a)

conservative force

(b)

non conservative force

(c)

gravitational force

(d)

electrostatic force

12.

If the two colliding bodies stick together after collision such collisions are ________________.

(a)

elastic collision

(b)

inelastic collision

(c)

perfectly inelastic collision

(d)

head on collision

13.

kWh is the practical unit of _____________.

(a)

energy

(b)

power

(c)

electrical energy

(d)

none

14.

Relative error can also be called as____________.

(a)

fractional error

(b)

absolute error

(c)

percentage error

(d)

systematic error

15.

The body must have a speed at highest point in vertical circular motion to stay in the circular path _____________.

(a)

\(\ge \sqrt { gr } \)

(b)

\(\ge \sqrt { 2gr } \)

(c)

\(\ge \sqrt { 5gr } \)

(d)

\(\ge\)5gr

16.

The unit of moment of force_______

(a)

Nm²

(b)

(c)

(d)

NJ rad

17.

Imperfections in experimental procedure gives______errors.

(a)

random

(b)

gross

(c)

systematic

(d)

personal

18.

The force F is given by F = at + bt² where t is time. The dimensions of 'a' and 'b' respectively are _____________.

(a)

[M LT^-3] and [MLT^-4]

(b)

[M LT^-4] and [MLT^-3]

(c)

[M LT^-1] and [MLT^-2]

(d)

[M LT^-2] and [MLT^-0]

19.

The amount of work done by a moving body depends on the ______________.

(a)

mass of the body

(b)

velocity

(c)

both (a) and (b)

(d)

time

20.

Unit of work done _______________.

(a)

(b)

joule

(c)

either a or b

(d)

none

21.

One parsec is_______________.

(a)

3.153\(\times\)10⁷ m

(b)

3.26\(\times\)10¹⁵ m

(c)

30.84\(\times\)10¹⁵ m

(d)

9.46\(\times\)10¹⁵ m

22.

A bullet of mass 10 g leaves a rifle at an initial velocity of 1000 m/s and strikes the earth at the same level with a velocity of 500 m/s, The work done in joule overcoming the resistance of air will be ___________.

(a)

375

(b)

3750

(c)

5000

(d)

500

23.

The moment of inertia of a uniform circular disc is maximum about an axis perpendicular to the disc and passing through ______________.

(a)

(b)

(c)

(d)

24.

On a frictionless surface, a block of mass M moving at speed v collides elastically with another block of same mass M which is initially at rest. After collision the first block moves at an angle θ to its initial direction and has a speed \(\frac{v}{3}\). The second block's speed after the collision is _______________.

(a)

\(\frac{3}{\sqrt 2}v\)

(b)

\(\frac{\sqrt 3}{2}v\)

(c)

\(\frac{2\sqrt 2}{3}v\)

(d)

\(\frac{3}{4}v\)

25.

A fly wheel rotating about fixed axis has a kinetic energy of 360 joule when its angular speed is 30 radian/sec, The moment of inertia of the wheel about the ax is of rotation is _____________.

(a)

0.6 kgm²

(b)

0.15 kgm²

(c)

0.8 kgm²

(d)

0.75 kgm²

26.

A point P consider at contact point of a wheel on ground which rolls on ground without slipping then value of displacement of point P when wheel completes half of rotation (If radius of wheel is 1 m) _____________.

(a)

2 m

(b)

\(\sqrt { { \pi }^{ 2 }+4 } \) m

(c)

\(\pi \)m

(d)

\(\sqrt { { \pi }^{ 2 }+2 } \) m.

27.

A rod of length is 3m and its mass acting per unit length is directly proportional to distance x from one of its end then its centre of gravity from that end will be at _______________.

(a)

1.5 m

(b)

2 m

(c)

2.5 m

(d)

3.0 m

28.

A disc of radius R and mass M is rolling horizontally without slipping with a speed of 3 ms^-1 and moves up an inclined plane. The maximum height up to which the disc can reach is (g = 10 ms^-2) _____________.

(a)

0.675 m

(b)

0.325 m

(c)

0.275 m

(d)

0.825 m

29.

A particle moves along a straight line such that its displacement at any time t is given by s = (t³ - 6t² + 3t + 4) metres. The velocity when the acceleration is zero is _____________.

(a)

3 m/s

(b)

42 m/s

(c)

-9 m/s

(d)

-15 m/s

30.

The frequency of vibration f of a mass m suspended from a spring of spnng constant k is given by a relationf = am^xk^y, when a is a dimensionaless constant. The values of x and y are ______________.

(a)

\(x=\frac{1}{2},y=\frac{1}{2}\)

(b)

\(x=-\frac{1}{2},y=-\frac{1}{2}\)

(c)

\(x=\frac{1}{2},y=-\frac{1}{2}\)

(d)

\(x=-\frac{1}{2},y=\frac{1}{2}\)

31.

On the horizontal surface of a truck a block of mass 1 kg is placed (m = 0.6) and truck is moving with acceleration 5 m/sec² then the frictional force on the block will be ______________.

(a)

5 N

(b)

6 N

(c)

5.88 N

(d)

8 N

32.

A person of mass 60 kg is inside a lift of mass 940 kg and presses the button on control panel. The lift starts moving upwards with an acceleration 1.0 m/s^-2. If g = 10 ms^-2, the tension in the supporting cable is _____________.

(a)

8600 N

(b)

9680 N

(c)

11000 N

(d)

1200 N

33.

One end of string of length l is connected to a particle of mass 'm' and the other end is connected to a small peg on a smooth horizontal table. If the particle moves in circle with speed 'v', the net force on the particle (directed towards centre) will be (T represents the tension in the, string) ______________.

(a)

\(T+\frac { mv^{ 2 } }{ l } \)

(b)

\(T-\frac { mv^{ 2 } }{ l } \).

(c)

zero

(d)

34.

The dimension of torque is _____________.

(a)

ML²T²

(b)

M²L²T²

(c)

ML²T^-1

(d)

MLT^-2

35.

If x = a cost is the displacement in time t then, acceleration is ____________

(a)

a cost

(b)

-a cost

(c)

a sint

(d)

-a sint

36.

The energy possessed by a body by its state of strain is called as____________.

(a)

kinetic energy

(b)

mechanical energy

(c)

potential energy

(d)

none

37.

According to the conservation of linear momentum ________________.

(a)

momentum before impact = momentum after impact

(b)

momentum before impact > momentum after impact

(c)

momemtum before impact < momentum after impact

(d)

momentum before impact is inversely proportional to momentum after impact

38.

Change in momentum of a body is ________________.

(a)

force

(b)

acceleration

(c)

work

(d)

impulse

39.

If \(\bar A\)and \(\bar B\) are two vectors, \(\bar A.\bar B=\bar A\times\bar B\) then resultant vector is ____________.

(a)

A+B

(b)

A-B

(c)

\(\sqrt {A^2+B^2}\)

(d)

\(\sqrt {A^2+B^2+\sqrt{2}AB}\)

40.

Newton's second and third laws of motion lead to the conservation of ______________.

(a)

linear momentum

(b)

angular momentum

(c)

potential energy

(d)

kinetic energy

41.

Second law of Newton gives the ______ definition of force.

(a)

fundamental

(b)

quantitative

(c)

dimensional

(d)

both (b) and (c)

42.

The angle subtended by a coin of radius 1 em held at a distance of 80 em from your eyes is ______________.

(a)

1.43⁰

(b)

0.72⁰

(c)

0.0125⁰

(d)

0.025⁰

43.

One picofarad is equal to ___________farad.

(a)

10^-18

(b)

10^-12

(c)

10^-6

(d)

10^-24

44.

A solid sphere is rotating in free space. If the radius of the sphere is increased keeping mass same, which one of the following will not be affected?

(a)

M.I

(b)

Angular momentum

(c)

Angular velocity

(d)

Rotational K.E.

45.

Three blocks of masses 2 kg, 3 kg and 5 kg are connected to each other with light string & then placed on a frictionless surface. The system is pulled by a force F = 10N, then tension T₁ is ______________.

(a)

(b)

(c)

(d)

10N

46.

A particle of mass m₁ is moving with a velocity v, and another of mass m₂is moving with velocity v₂ Both of them have the some momentum but their kinetic energies are E₁ and E₂ respectively. If =m₁ > m₂the ______________.

(a)

E₁2

(b)

\(\frac{E_1}{E_2}=\frac{m_1}{m_2}\)

(c)

E₁>E₂

(d)

E₁=E₂

47.

A body is falling from a height h. After it has fallen a height \(\frac{h}{2}\) it will possess _______________

(a)

only Potential Energy

(b)

only Kinetic Energy

(c)

half potential and half kinetic energy

(d)

more kinetic and less potential energy

48.

A block is kept on a frictionless inclined surface with angle of inclination ∝, The incline is given an acceleration a to keep the block stationary. Then a is equal to _____________.

(a)

g cosec ∝

(b)

(c)

\(\frac { g }{ tan\ \alpha } \)

(d)

g tan ∝

49.

Three forces F₂, F₂ & F₃ are acting on a particle of mass m such that F₂ & F₃ are mutually perpendicular, then the particle remains stationary. If the force F₁ is now removed, then the acceleration of the particle is _____________.

(a)

\(\frac { { F }_{ 1 } }{ m } \)

(b)

\(\frac { { F }_{ 2 }{ F }_{ 3 } }{ mF } \)

(c)

\(\frac { { F }_{ 2 }-{ F }_{ 3 } }{ m } \)

(d)

\(\frac { { F }_{ 2 } }{ m } \)

50.

Which of the following statement is wrong?

(a)

one fermi = 10¹⁵ m

(b)

All non-zero digits are significant.

(c)

1 AU = 1.496 \(\times\)10¹¹m

(d)

Speed is a derived unit

51.

Astronomical Scale is dealt with the _________ Physics

(a)

Mesoscopic

(b)

Microscopic

(c)

Macroscopic

(d)

None

52.

The length of a body is measured as 3.51 m, if the accuracy is 0.01 mm, then the percentage error in the measurement is

(a)

35.1%

(b)

(c)

0.28%

(d)

0.035%

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Answers Key:

Multiple Choice Question

52 x 1 = 52

(a)
zero

(d)
M\(\left( \frac { { R }^{ 2 } }{ 4 } +\frac { { l }^{ 2 } }{ 12 } \right) \)

(b)
0.527 \(\overset{0}{A}\)

(d)
\(\frac{2V_dV_u}{V_d+V_u}\)

(b)
\(a_R=\sqrt{a_t^2+(\frac{V^2}{r})^2}\)

(a)
0^o

(d)
R>P, Q

10.

11.

(a)
conservative force

12.

13.

(a)
energy

14.

(a)
fractional error

15.

(a)
\(\ge \sqrt { gr } \)

16.

(b)
Nm

17.

18.

(d)
[M LT^-2] and [MLT^-0]

19.

20.

21.

22.

(b)
3750

23.

(a)
B

24.

25.

26.

(b)
\(\sqrt { { \pi }^{ 2 }+4 } \) m

27.

(b)
2 m

28.

(a)
0.675 m

29.

30.

(d)
\(x=-\frac{1}{2},y=\frac{1}{2}\)

31.

(a)
5 N

32.

33.

(d)
T

34.

(b)
M²L²T²

35.

(b)
-a cost

36.

(a)
kinetic energy

37.

(a)
momentum before impact = momentum after impact

38.

(d)
impulse

39.

(d)
\(\sqrt {A^2+B^2+\sqrt{2}AB}\)

40.

(a)
linear momentum

41.

(d)
both (b) and (c)

42.

(a)
1.43⁰

43.

(b)
10^-12

44.

(b)
Angular momentum

45.

(b)
8N

46.

(a)
E₁2

47.

48.

(d)
g tan ∝

49.

(a)
\(\frac { { F }_{ 1 } }{ m } \)

50.

(a)
one fermi = 10¹⁵ m

51.

52.

\(\Delta l =0.01 \)
\(l =3.51 \)
\(\% \text { error } =\frac{\Delta l}{l} \times 100=\frac{0.01}{3.51} \times 100 \)
\(=0.00284 \times 100 \)
\(=0.284=0.28 \% \)