The gravitational potential due to earth at infinite distance from it is zero. Let the gravitational potential at a point P be -5 J kg -1. Suppose, we arbitrarily assume the gravitational potential at infinity to be +10 J kg -1, then the gravitational potential at P will be

Question

The gravitational potential due to earth at infinite distance from it is zero. Let the gravitational potential at a point P be -5 J kg -1. Suppose, we arbitrarily assume the gravitational potential at infinity to be +10 J kg -1, then the gravitational potential at P will be (A) -5 J kg -1 (B) +5 J kg -1 (C) -15 J kg -1 (D) +15 J kg -1

Tardigrade Admin · Accepted Answer

According to the problem, as the potential at

\infty

increases by

+ 10 J k g^{- 1}

, hence potential will increase by the same amount everywhere (potential gradient will remain constant).
Hence, potential at point

P = 10 - 5 = + 5 J k g^{- 1}

Q. The gravitational potential due to earth at infinite distance from it is zero. Let the gravitational potential at a point $P$ be $- 5 J k g^{- 1}$ . Suppose, we arbitrarily assume the gravitational potential at infinity to be $+ 10 J k g^{- 1}$ , then the gravitational potential at $P$ will be

$- 5 J k g^{- 1}$

$+ 5 J k g^{- 1}$

$- 15 J k g^{- 1}$

$+ 15 J k g^{- 1}$

According to the problem, as the potential at $\infty$ increases by $+ 10 J k g^{- 1}$ , hence potential will increase by the same amount everywhere (potential gradient will remain constant).
Hence, potential at point $P = 10 - 5 = + 5 J k g^{- 1}$

Q. The gravitational potential due to earth at infinite distance from it is zero. Let the gravitational potential at a point P be −5Jkg−1. Suppose, we arbitrarily assume the gravitational potential at infinity to be +10Jkg−1, then the gravitational potential at P will be

−5Jkg−1

+5Jkg−1

−15Jkg−1

+15Jkg−1