Question

When a wave travels in a medium, the
displacement of a particle located at distance x
at timetis given by y=a sin (bt-ex) where a, b
and care constants of the wave. The dimensions
of b/c are same as that of:
(1) wave velocity (2) wave length
(3) wave amplitude (4) wave frequency​

Answer 1

Answer:

When a wave transverse in a medium, the displacement of a particle located at distance x at time t is given by y=a sin(bt−cx) where a,b and c are constants ...

Top answer

Argument of sin is dimensionless and using principle of dimensional homogeneity, we get |bt| = |cx| = [M0L0T0] Thus, |b| = T-1 and |c| = [L-1] Thus, dimensions ... More.... and please follow me please

Explanation:

and please follow meWhen a wave transverse in a medium, the displacement of a particle located at distance x at time t is given by y=a sin(bt−cx) where a,b and c are constants ...

Top answer

Argument of sin is dimensionless and using principle of dimensional homogeneity, we get |bt| = |cx| = [M0L0T0] Thus, |b| = T-1 and |c| = [L-1] Thus, dimensions ... More