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The speed of sound as measured by a stud...

The speed of sound as measured by a student in the laboratory on a winter day is 340 m /s when the room temperature is `17^@C`. What speed will be measure another student repeating the experiment on a day when the room temperature is `32^@C` ?

Text Solution

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The correct Answer is:
A, C, D
`V_1=340m/s, V_2=?`
`T_1=273+17`
`=290K`
`T_2=273+32=305K`
We know `V=a/sqrtT`
`V_1/V_2=sqrtT_1/sqrtT_2`
`rarr V_2=(sqrtV_1xxsqrtT_2)/sqrtT_1`
`=340xxsqrt(350/290)`
`=349m/s
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