The value of x, y and z respectively in the expression MxLyTz for the universal gravitational constant G are
A. 2, -3, -2 B. -1, 3, -2 C. -1, 2, -3 D. -2, -1, 3
Correct Answer: B
Explanation
F ∠M1M2
__r2
=> F = GM1M2
__r2
where F is the force of attraction M1 and M2 are masses of the two bodies, r is the distance between them, and G is the universal gravitational constant
∴ G = _Fr2
M1M2
∴ dimension for force, F = ML = MLT-2
T.T
The dimension for G = MLT-2L2 = L3T-2
_MM
_M
= M-1L3T-2 In comparison with MxLyTz, the values for x, y and z = -1, 3, -2
