Question on: JAMB Physics - 2009

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
Ask EduPadi AI for a detailed answer
Correct Option: B
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

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