The time dependence of physical quantity p is given by p = p_{0} exp (-αt^{2}), where α is a constant and t is the time.The constant α

(A)

is dimensionless

(B)

has dimensions[T^{-2}]

(C)

has dimensions[T^{2}]

(D)

has dimensions of p

Question-2

According to Kepler's law the square of the time period of a planet is proportional to the

(A)

Cube of the semi minor axis

(B)

Square of the semi major axis

(C)

Square of the mean radius

(D)

Cube of the semi major axis

Question-3

The dimensional formula of resistance

(A)

[ML^{2}T^{-3} A^{-1]}

(B)

[ML^{2}T^{-}^{2}A^{-1]}

(C)

[ML^{2}T^{-3}A^{-2]}

(D)

[M^{2}L^{2}T^{-3}A^{-2]}

Question-4

The dimensional formula for surface tension is

(A)

[MLT^{-2]}

(B)

[ML^{-1}T^{-2}]

(C)

[MLT^{-1}]

(D)

[M^{1}L^{0}T^{-2}]

Question-5

One mole of an ideal gas at standard temperature and pressure occupies 22.4 L (molar volume).What is the ratio of molar volume to the atomic volume of a mole of hydrogen ?(Take the size of hydrogen molecule to be about 1 Å).

(A)

7 x 10^{4}

(B)

7 x 10^{5}

(C)

7 x 10^{-4}

(D)

7 x 10^{-5}

Question-6

The most precise observation of the following is:

(A)

3426 gm

(B)

342.6 gm

(C)

34.26 gm

(D)

3.426 gm

Question-7

1 pc =

(A)

3.08 x 10^{16} m

(B)

3 x 10^{16} m

(C)

3.08 x 10^{-16} m

(D)

3 x 10^{-16} m

Question-8

90^{0} is equal to how many radians?

(A)

1.57 radians

(B)

1.75 radians

(C)

3.14 radians

(D)

2.57 radians

Question-9

The number of significant figures in 0.007m^{2} is

(A)

1

(B)

2

(C)

3

(D)

4

Question-10

If the dimensions of a physical quantity are given by M^{a}L^{b}T^{c} ,then the physical quantity will be

(A)

pressure if a = 1,b = -1,c = -2

(B)

velocity if a = 1,b = 0,c = -1

(C)

acceleration if a = 1,b = 1,c = -2

(D)

force if a = 0,b = -1,c = -2

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