Which of the following graphs is CORRECT? | vedclass

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(C) The velocity of sound in air is given by $V = \sqrt{\frac{\gamma RT}{M}}$.Since $V \propto \sqrt{T}$,where $T$ is the absolute temperature in Kelv

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(C) The velocity of sound in air is given by $V = \sqrt{\frac{\gamma RT}{M}}$.Since $V \propto \sqrt{T}$,where $T$ is the absolute temperature in Kelvin,we have $V^2 \propto T$.Option $(A)$ shows velocity vs pressure,which is incorrect as velocity of sound in an ideal gas is independent of pressure.Option $(B)$ shows $V^2$ vs temperature in $^\circ C$. Since $V^2 \propto (t + 273.15)$,the graph of $V^2$ versus $t$ $(^\circ C)$ should be a straight line with a positive intercept on the $V^2$ axis,not passing through the origin.Option $(C)$ shows the velocity of a transverse wave in a string,$V = \sqrt{\frac{T}{\mu}}$,where $T$ is the tension. This implies $V \propto \sqrt{T}$,which represents a parabolic curve $V^2 \propto T$. Thus,the graph of $V$ versus $T$ is a parabola opening towards the $T$-axis.Option $(D)$ shows an inverse relationship,which is incorrect.Therefore,the correct graph is $(C)$.

Which of the following graphs is $CORRECT$?

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