Acceleration due to gravity:

• decreases from the equator to poles

• decreases from poles to the equator

• is maximum at the centre of the earth

• is maximum at the equator

The distance between the sun and the earth be r then the angular momentum of the earth around the sun is proportional to :

• $\sqrt{\mathrm{r}}$

• ${\mathrm{r}}^{3/2}$

• r

• none of these

The length of the second's pendulum is 1 m on earth. If the mass and diameter of a planet are doubled than that of earth. Then its length becomes

• 1 m

• 2 m

• 0.5 m

• 4 m

Two satellites A and B go around a planet P in circular orbits having radius 4 R and R respectively. If the speed of satellite A is 3v, then the speed of satellite B will be

• 6v

• 9v

• 3v

• none of these

The period of oscillation of a simple pendulum of constant length at the surface of the earth is T. Its time period inside a mine will be :

• can not be compared

• equal to T

• less than T

• more than T

The radius of orbit of satellite of earth is R. Its kinetic energy is proportional to :

• $\frac{1}{\mathrm{R}}$

• $\frac{1}{\sqrt{\mathrm{R}}}$

• R

• $\frac{1}{{\mathrm{R}}^{3/2}}$

The radius of orbit of a planet is two times that of the earth. The time period of the planet is :

• 4.2 T

• 2.8 T

• 5.6 T

• 8.4 T

A body falls from a height h = 200 m. The ratio of distance travelled in each 2 sec, during t = 0 to t = 6 second of the journey is

• 1 : 4 : 9

• 1 : 2 : 4

• 1 : 3 : 5

• 1 : 2 : 3

A particle falls towards earth from infinity. Its velocity on reaching the earth would be:

• infinity

• $\sqrt{2\mathrm{gR}}$

• $2\sqrt{\mathrm{gR}}$

• zero

110.

According to Kepler's law, the time period of a satellite varies with its radius are as:

• T² ∝ R³

• T³ ∝ R²

• ${\mathrm{T}}^2 \propto \frac{1}{{\mathrm{R}}^3}$

• ${\mathrm{T}}^3 \propto \frac{1}{{\mathrm{R}}^2}$