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KEAM 2014 Physics and Chemistry Paper

Question : 49 of 120

Marks: +1, -0

Pick out the wrong statement from the following

The SI unit of universal gravitational constant is $\mathrm{N}\mathrm{m}^2\mathrm{Kg}^{-2}$
The gravitational force is a conservative force
The force of attraction due to a hollow spherical shell of uniform density on a point mass inside it is zero
The centripetal acceleration of the satellite is equal to acceleration due to gravity
Gravitational potential energy = $\frac{\text{gravitation potential}}{\text{mass of the body}}$

Solution:

Option (e) is wrong statement, because

U=-\frac{G M_{e} \cdot m}{r}

(

\because V=-\frac{G M}{r}

where V = gravitational potential)

So,

U=

gravitational potential

\times

mass of the body

Therefore, the right statement is

Gravitational potential energy = gravitational potential

\times

mass of the body

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