If the force is proportional to square of velocity, then the dimension of proportionality constant is

(a)

[MLT⁰]

(b)

[MLT^-1]

(c)

[MLT^-2T]

(d)

[MLT^-1T⁰]

If the error in the measurement of radius of a sphere is 3% then the error in the measurement of volume of the sphere will be ________________.

(a)

4%

(b)

6%

(c)

2%

(d)

9%

Random error can be eliminated by ______________.

(a)

careful observation

(b)

eliminating the cause

(c)

taking mean

(d)

measuring with more than one instrument

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 =\(F\over l^2\) .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%

Slope of displacement-time graph at any instant gives ____________.

(a)

speed

(b)

acceleration

(c)

retardation

(d)

velocity

A passenger in the moving train throws a coin. If the coin falls in front of him, train must be moving with ________________.

(a)

uniform speed

(b)

acceleration

(c)

deceleration

(d)

uniform velocity

An aeroplane moving horizontally with a speed of 180 kmhr^-1 drops a food packet while flying at a height of 490 m. while horizontal range of the food packet is _____________.

(a)

500m

(b)

200m

(c)

650m

(d)

925m

If a ball is thrown vertically upwards with speed u, the distance covered during the last t seconds of its ascent is _______________.

(a)

ut

(b)

\({1\over 2}gt^2\)

(c)

ut-\({1\over 2}gt^2\)

(d)

(u+gt)t

If two objects A and B are moving along a straight line in the same direction with the velocities V_A and V_B respectively, then the relative velocity is ______________

(a)

V_A + V_B

(b)

V_A - V_B

(c)

V_AV_B

(d)

V_A/V_B

Two masses m₁ = 2 kg and m₂ = 1 kg are connected by a string which passes over a smooth frictionless pulley. The acceleration of the masses when they are released is,

(a)

3.26 ms^-2

(b)

2.26 ms^-2

(c)

1.26 ms^-2

(d)

4.26 ms^-2

A machine gun has mass 15 kg. It fires 15 g bullet at the rate of 200 bullets per minutes with a speed of 150 m/s. Then the recoil velocity of the gun is ____________.

(a)

20 ms^-1

(b)

15 ms^-1

(c)

150 ms^-1

(d)

0.2 ms^-1

In non inertial frame, the second law of motion is written as _____________.

(a)

F = ma

(b)

F = ma + Fp

(c)

F = ma - Fp

(d)

F = 2ma

A rider on horse fall back when horse starts running all of a sudden because ____________.

(a)

rider is taken back

(b)

rider is suddenly afraid of falling

(c)

inertia of rest keeps the upper part of body at rest whereas lower part of the body moves forward with the horse

(d)

none of these

A book is lying on the table. What is the angle between the action of the book on the table and the reaction of the table on the book?

(a)

0°

(b)

45°

(c)

90°

(d)

180°

First law of Newton deals with the ______________.

(a)

concept of inertia alone

(b)

definition of force alone

(c)

either (a) or (b)

(d)

concept of inertia and definition of force

In Newton's second law \(\vec { F } =m\bar { a } \) (for constant mass m), \(\vec { a } \) is the acceleration of the mass m with respect to ______________.

(a)

any observer

(b)

any inertial observer

(c)

an observer at rest only

(d)

an observer moving with Uniform speed only

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

Recoil of a gun is in accordance with _____________.

(a)

conservation of masses

(b)

conservation of momentum

(c)

Newton's third law of motion

(d)

all the above

A body of imparted motion from rest to move in a straight line. If it is then obstructed by an opposite force, then ______________.

(a)

the body will necessarily change direction

(b)

the body is sure to slow down

(c)

the body will necessarily continue to move in the same direction at the same speed

(d)

none of these

When two surfaces are coated with a lubricant, then they ______________.

(a)

stick to each other

(b)

slide upon each other

(c)

roll upon each other

(d)

none of these

A cyclist bends while taking turn to _______________.

(a)

reduce friction

(b)

generate required centripetal force

(c)

reduce apparent weight

(d)

reduce speed

When a particle is in uniform motion it does not have ______________.

(a)

radial velocity and radial acceleration

(b)

radial velocity and transverse acceleration

(c)

transverse velocity and radial acceleration

(d)

transverse velocity and transverse acceleration

The blocks of masses m and M connected by a spring are kept on a smooth horizontal frictionless table. A force f is applied to the mass M. If the acceleration of mass m is 'a' the acceleration of mass M will be ______________.

(a)

\(\frac { am }{ M } \)

(b)

\(\frac { F }{ M } \)

(c)

\(\frac { (F+ma) }{ M } \)

(d)

\(\frac { (F-ma) }{ M } \)

An object of mass 10 kg is hanging on a spring scale which is attached to the roof of a lift. If the lift is in free fall, the reading in the spring scale is

(a)

98 N

(b)

zero

(c)

49 N

(d)

9.8 N

An air column in a pipe which is closed at one end, will be in resonance with the vibrating body of frequency 83Hz. Then the length of the air column is

(a)

1.5 m

(b)

0.5 m

(c)

1.0 m

(d)

2.0 m