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Consider an expression F = A x sin^(-1)'...

Consider an expression `F = A x sin^(-1)'(Bt)` where F represents force, x represents distance and t represents time. Dimensionally the quantity AB represents

A

energy

B

surface tension

C

intensity of light

D

pressure

Text Solution

Verified by Experts

The correct Answer is:
C
Dimensional analysis suggests that the quantity Ax on RHS must have the dimensions of force whereas B must have the dimensions of recipocal of time. Then, the product AB will have the dimensions of energy per unit area per unit time, the same as those of intensity of light.
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