Which graph represents the v_m - T relationsh | vedclass

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(B) According to Wien's displacement law,the wavelength $\lambda_m$ corresponding to the maximum energy emission is inversely proportional to the abso

Vedclass · Accepted Answer

$B$

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(B) According to Wien's displacement law,the wavelength $\lambda_m$ corresponding to the maximum energy emission is inversely proportional to the absolute temperature $T$,i.e.,$\lambda_m T = b$ (constant).Since the frequency $v_m$ is related to the wavelength by $v_m = c / \lambda_m$,we can substitute $\lambda_m = c / v_m$ into the displacement law.This gives $(c / v_m) T = b$,which simplifies to $v_m = (c / b) T$.Since $c$ (speed of light) and $b$ (Wien's constant) are constants,$v_m$ is directly proportional to $T$ $(v_m \propto T)$.This represents a straight line passing through the origin.Looking at the provided graph,line $B$ represents a linear relationship passing through the origin.Therefore,the correct graph is $B$.

Which graph represents the $v_m - T$ relationship for a black body,where $v_m$ is the frequency corresponding to the maximum energy emission and $T$ is the absolute temperature?

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