Which of the following does not affect the value of acceleration due to gravity?

Question

Question

This question was previously asked in

RRC Group D Previous Paper 6 (Held On: 24 Sep 2018 Shift 1)

Answer 1

The correct answer is Mass.

Key Points

The value of acceleration due to gravity does not get affected by Mass.
We know that Force due to gravity F = GM_E m/r².
Here G is gravitational Constant, M_E is the Mass of earth and r is the distance from the centre of the earth
We also know that F = Mg (Here a is replaced by g is the acceleration is due to gravity).
Now equating the both we get gravity (g) = GM_E/r².
Hence, the value of acceleration due to gravity does not get affected by Mass.
As G is gravitational Constant, M_E is Mass of the earth are constant then g = 1/r².
Here r is the distance from the centre of earth hence thereby depending upon the Shape of the earth as the radius changes so do the value of g.
Similarly, we have equation acceleration due to gravity g(h) = g (1- 2h/R_E) and acceleration due to gravity due to depth g(d) = g (1-d/R_E) shows that acceleration due to gravity affected by depth and height.