The dimensional formula for gravitational constant G is

(a)

[ML³T^-2]

(b)

[M^-1L³T^-2]

(c)

[M^-1L^-3T^-2]

(d)

[ML^-3T²]

High precision instruments are used to eliminate ______________.

(a)

personal error

(b)

random error

(c)

chance error

(d)

least count error

If the energy E = G^Ph^qC^r where G is the universal gravitational constant, h is the planck's constant and C is the velocity of light, then the values of p, q and r are respectively ______________.

(a)

\(-{1\over2},{1\over2}and {5\over2}\)

(b)

\({1\over2},-{1\over2}and-{5\over2}\)

(c)

\(-{1\over2},{1\over2}and {3\over2}\)

(d)

\(-{1\over2},-{1\over2}and- {3\over2}\)

A force F is applied on to a square plate of side L. If the percentage error in determining L is 2% and that in F is 4%, the percentage error in pressure is ____________.

(a)

8%

(b)

4%

(c)

6%

(d)

3%

TIle dimensional formula of torque is _____________.

(a)

[ML²T^-2]

(b)

[MLT^-2]

(c)

[ML^-1T^-2]

(d)

[ML^-2T^-2]

The study of production and propagation of sound waves_____________.

(a)

Astrophysics

(b)

Acoustics

(c)

Relativity

(d)

Atomic physics

Fundamental quantities can also be known as________quantities.

(a)

original

(b)

physical

(c)

negative

(d)

base

The range of distance can be measured by using direct methods is________

(a)

10^-2 to 10^-5 m

(b)

10^-2 to 10² m

(c)

10² to 10^-5 m

(d)

10^-2 to 10⁵ m

The maximum possible error in the difference of two quantities is___________.

(a)

Z=A+B

(b)

\(\triangle Z=\triangle A-\triangle B\)

(c)

\(\frac{\triangle Z}{Z}=\frac{\triangle A}{A}+\frac{\triangle B}{B}\)

(d)

\(\frac{\triangle Z}{Z}=\frac{\triangle A\triangle B}{AB}\)

If a particle executes uniform circular motion in the xy plane in clock wise direction, then the angular velocity is in

(a)

+y direction

(b)

+z direction

(c)

-z direction

(d)

-x direction

A body is allowed to fall from a height of 100 m. If the time taken for the first 50m is t₁, and for the remaining 50m is t₂, then ________________

(a)

t₁ = t₂

(b)

t₁ > t₂

(c)

t₁ < t₂

(d)

depends upon the mass

A man wants to hit the target, he should point its rifle ______________

(a)

higher than target

(b)

lower than target

(c)

in the same direction

(d)

nothing can be said

Electric charge is an example for_________quantity.

(a)

vector

(b)

fundamental

(c)

scalar

(d)

both (a) and (b)

If the velocity of a particle is v= At + Bt², where A and B are constants, then the distance travelled by it between 1 s and 2 s is _______________.

(a)

\({3\over2}A+{7\over3}B\)

(b)

\({A\over2}+{B\over3}\)

(c)

\({3\over2}A+4B\)

(d)

\(3A+7B\)

If a car at rest accelerates uniformly to a speed of 144 km/h in 20 sec, it covers a distance of _______________.

(a)

1440cm

(b)

2980cm

(c)

20m

(d)

400m

A bus travelling the first one-third distance at a speed of 10 km/h, the next one-third at 20 km/h and at last one-third at 60 km/h. The average speed of the bus is _____________.

(a)

9km/h

(b)

16km/h

(c)

18km/h

(d)

48km/h

If \(\hat n\) is a unit vector along the direction of \(\vec A\), the \(\hat n\) is ____________.

(a)

\(\vec AA\)

(b)

n x A

(c)

\(\frac{\vec A}{A}\)

(d)

\(\vec A|A|\)

\(\hat i.\hat j\) is ____________.

(a)

0

(b)

1

(c)

\(\infty \)

(d)

none

The vector product of two vectors will have maximum magnitude when \(\theta\) is equal to ______________

(a)

0^o

(b)

90^o

(c)

180^o

(d)

360^o

Two blocks of masses m and 2m are placed on a smooth horizontal surface as shown. In the first case only a force F₁ is applied from the left. Later only a force F₂ is applied from the right. If the force acting at the interface of the two blocks in the two cases is same, then F₁ :F₂ is

(a)

1:1

(b)

1:2

(c)

2:1

(d)

1:3

While walking, the vertical component of reactive force balances our ____________.

(a)

force

(b)

mass

(c)

weight

(d)

impulse

Which one of the following motions on a smooth plane surface does not involve force?

(a)

accelerated motion in a straight line

(b)

retarded motion is a straight line

(c)

motion with constant momentum along a straight line

(d)

motion along a straight line with varying velocity

A jet engine works on the principle of ______________.

(a)

conservation of linear momentum

(b)

conservation of mass

(c)

conservation of energy

(d)

conservation of angular momentum

If the linear momentum of the object is increased by 0.1% then the kinetic energy is Increased by

(a)

0.1 %

(b)

0.2 %

(c)

0.4 %

(d)

0.01 %

When a mass is rotating in a plane about a fixed point, its angular momentum is directed along

(a)

a line perpendicular to the plane of rotation

(b)

the line making an angle of 45^o to the plane of rotation

(c)

the radius

(d)

tangent to the path