In the relation y - rsin - t - kx- the dimensional formula for kx or - t is same as

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Dimensional Analysis

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Question

In the relation $y = r sin (ω t + k x)$ , the dimensional formula for $k x$ or $ω t$ is same as

r / ω

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r / y

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ω t / r

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y r / ω t

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Solution

The correct option is D $r / y$
$(ω t + k x)$ is dimensionless because sine and cosine operations are done on dimensionless quantities.
$∴ ω t$ and $k x$ are both dimensionless.
Out of the given options, only $r / y$ is dimensionless.

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In the relation y=rsin(ωt+kx), the dimensional formula for kx or ωt is same as

The correct option is D r/y(ωt+kx) is dimensionless because sine and cosine operations are done on dimensionless quantities.∴ωt and kx are both dimensionless.Out of the given options, only r/y is dimensionless.

In the relation $y = r sin (ω t + k x)$ , the dimensional formula for $k x$ or $ω t$ is same as

The correct option is D $r / y$
$(ω t + k x)$ is dimensionless because sine and cosine operations are done on dimensionless quantities.
$∴ ω t$ and $k x$ are both dimensionless.
Out of the given options, only $r / y$ is dimensionless.