The value of x, y and z respectively in the expression M\...
The value of x, y and z respectively in the expression M\(^x\) L\(^y\)T \(^z\) for the universal gravitational constant G are?
2, -3, -2
-1, 3, -2
-1, 2, -3
-2, -1, 3
Correct answer is 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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