Q. If radius of Earth becomes half, g at surface becomes

यदि पृथ्वी की त्रिज्या आधी हो जाए तो सतह पर g हो जाता है

A
g/2
जी/2
B
2g
2 ग्रा
C
g/4
जी/4
D
4g
4 जी

Explanation

Acceleration due to gravity is:

g=GMR2g = \frac{GM}{R^2}

If the radius RR becomes half (R/2R/2), then:

g=GM(R/2)2=GMR2/4=4×GMR2=4gg' = \frac{GM}{(R/2)^2} = \frac{GM}{R^2/4} = 4 \times \frac{GM}{R^2} = 4g

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