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Question

Which of the following graphs correctly represents the variation of speed of sound with temperature in a particular gas?

A
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B
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C
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D
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Solution

The correct option is D
Velocity of sound in a gas is given by
v=γRTM
For a particular gas γ and M remains constant.
So, vT
v2 T
v2=kT, where k is a constant.
Above equation is similar to equation, y2=4ax, which represents a parabola symmetrical about x-axis.
Hence, option (d) is correct.

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