The velocity of sound in air increases by about for 1-C in temperature- Fill in the blank-

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Effect of Temperature on Speed of Sound in Gases

The velocity ...

Question

The velocity of sound in air increases by about ______ for $1^{\circ} C$ in temperature. Fill in the blank.

10 m/s

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0.1 m/s

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15.4 m/s

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0.61 m/s

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Solution

The correct option is A 0.61 m/s
The velocity $v_{t}$ of sound in air at a temperature $t^{o} C$ is given ,
$v_{t} = v_{0} + 0.61 t$ ,
where $v_{0} =$ velocity of sound in air at $0^{o} C$ in m/s,
for $t = 1^{0} C$ ,
$v_{1} = v_{0} + 0.61$ ,
it is clear that for $1^{0} C$ increase in temperature , velocity increases by 0.61 m/s.

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The velocity of sound in air increases by about ______ for 1∘C in temperature. Fill in the blank.

The correct option is A 0.61 m/sThe velocity vt of sound in air at a temperature toC is given , vt=v0+0.61t ,where v0= velocity of sound in air at 0oC in m/s,for t=10C , v1=v0+0.61 ,it is clear that for 10C increase in temperature , velocity increases by 0.61 m/s.

The velocity of sound in air increases by about ______ for $1^{\circ} C$ in temperature. Fill in the blank.