Given , where and are measured in metres, which of the following statements is…

PHYSICS · Single correct · CBSE · Physics · Units and Measurements · Units and Measurements

Problem

Given

y=a\sin\left[\frac{2\pi}{\lambda}(ct-x)\right]

, where

y

and

x

are measured in metres, which of the following statements is true? (1) The unit of

\lambda

is the same as that of

x

and

a

(2) The unit of

\lambda

is the same as that of

x

but not of

a

(3) The unit of

c

is the same as that of

\frac{2\pi}{\lambda}

(4) The unit of

(ct-x)

is the same as that of

\frac{2\pi}{\lambda}