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Standard XII

Physics

Thermal Expansion

If x=at+bt2...

Question

If $x = a t + b t^{2}$ where $x$ is in metre ( $m$ ) and $t$ is in hour ( $h$ ) then unit of $b$ will be :

m^{2} / h

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m

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m / h

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m / h^{2}

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Solution

The correct option is D $m / h^{2}$
Since $x = a t + b t^{2}$ , unit of $b t^{2}$ must be that of $x$ .
Hence the unit of b is that of $\frac{x}{t^{2}}$
which is $m / h^{2}$

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If x=at+bt2 wherex is in metre (m) and t is in hour (h) then unit of b will be :

The correct option is D m/h2Since x=at+bt2, unit of bt2 must be that of x.Hence the unit of b is that of xt2which is m/h2

If $x = a t + b t^{2}$ where $x$ is in metre ( $m$ ) and $t$ is in hour ( $h$ ) then unit of $b$ will be :

The correct option is D $m / h^{2}$
Since $x = a t + b t^{2}$ , unit of $b t^{2}$ must be that of $x$ .
Hence the unit of b is that of $\frac{x}{t^{2}}$
which is $m / h^{2}$