Q36 / 208 · NTA Abhyas (NEET) 2020 · Physics · Gravitation

If the radius of the earth were to shrink by one percent, its mass remaining the same, the value of g on the earth's surface would

A
increase by 0.5%
Correct answer
B
increase by 2%
C
decrease by 0.5%
D
decrease by 2%

Solution

g = \frac{GM}{R^{2}}

\frac{Δ g}{g} \times 100 = 2 (\frac{Δ R}{R} \times 100)

= 2 \times 1 % = 2 %

Therefore value of g will increase by 2%

Hence, the correct answer is option: 'B'.

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