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Question: If force F = Ke<sup>-br</sup>/r<sup>2</sup> varies with distance r. Then write the dimensions of K a...

If force F = Ke-br/r2 varies with distance r. Then write the dimensions of K and b.

A

ML3T-2

B

M-2LT-3

C

ML-2T3

D

M-2L-3T2

Answer

ML3T-2

Explanation

Solution

Exponential must be dimensionless. Therefore b shall have dimension L-1 and K = Fr2 = (MLT-2) (L2) = ML3T-2