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Which of the following options is correct?

a) acceleration due to gravity decreases with increasing altitude

b) acceleration due to gravity increases with increasing depth

c) acceleration due to gravity increases with increasing latitude

d) acceleration due to gravity is independent of the mass of the earth

Answers (1)

The answer is the option (a) and (c)

g at an altitude g(1-\frac{2h}{R})

Acceleration due to gravity decreases with increasing altitude. Hence a is correct

g^{\lambda }= g-\omega ^{2}R(cos\lambda )^{2}

As cos is decreasing function, the value of gravity increases with increase in latitude, i.e. from the equator to pole. Hence,c is correct

g=\frac{GM}{R^{2}} Where M is the mass of earth. Hence, d is incorrect

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