Question

when a wave traverses a medium, the displacement of a particle located at a time t is given by y=asin(bt-cx), a, b, c are constants of a wave. which of the quantity is with dientions? explain why 1)y/a. 2)bt. 3)cx. 4)b/c​

Answer 1

Answer:

The quantity which has dimension is here

4) b/c

Explanation:

as we know the wave equation is given as

$y = a sin(bt - cx)$

so here we know that units of

y , a = meter

unit of (bt - cx) = dimensionless

so we have

b = 1/time = 1/s

c = 1/distance = 1/m

1) y/a = dimensionless

2) bt = dimensionless

3) cx = dimensionless

4) b/c = $\frac{m}{s}$ = dimension of speed

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Topic : Unit and dimension

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Answer 2

Answer:

4-b/c

Explanation: