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When a wave traverses a medium, the disp...

When a wave traverses a medium, the displacement of a particle located at x at a timet is given by y = a sin (bt - cx), where a, b and c are constants of the wave, which of the following is a quantity with dimensions?

A

`y//a`

B

bt

C

cx

D

`b//c`

Text Solution

Verified by Experts

The correct Answer is:
D
According to the principal of homogenity of dimensions, Angle has no dimensions.
`:. bt = cx implies b/c = x/t implies b/c = L/T implies LT^(-1)` = Velocity.
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