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Q.

The time taken by sound waves to travel the distance l if the air temperature between them varies linearly from T1 to T2(velocity of sound in air is given by v = αT)

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a

2lαT2 + T1

b

2lαT2 - T1

c

lαT2 + T1

d

lαT2 - T1

answer is A.

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Detailed Solution

T = T1+ T2 - T1xl ∴dxdT = lT2 - T1 t = ∫dxv = ∫T1T2lT2 - T1dTαT = lT2 - Tα2T2 - T1 = 2lαT2 + T1
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