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: Option 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