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

When a wave traverses a medium, the displacement of a particle located at `'x'` at a time `'t'` 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
`y = a sin(bt - cx)`
[bt] = [cx] = [dimensionless]
`y/a = [M^(0) L^(0) T^(0)]`
`b/c = (T^(-1))/(L^(-1)) = L/T = [LT^(-1)]`
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