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When a wave travells in a medium, the di...

When a wave travells in a medium, the displacement of a particle located at distance `x` at time `t` is given by `y=asin(bt-cx)` where `a,b` and `c` are constants of the wave. The dimensions of `b//c` are same as that of :

A

wave velocity

B

wave length

C

wave amplitude

D

wave frequency

Text Solution

Verified by Experts

The correct Answer is:
A
bt and cx are arguments of sine thus they are dimensionless
`bt = M^(0)L^0T^0" "cx = M^(0)L^(0)T^(0)`
`b= M^(0)L^(0)T^(-1)" "c = M^(0)L^(-1) T^(0)`
`b//c= ([T^(-1)])/([L^(-1)])= [LT^(-1)] = v = ` wave velocity
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