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It takes 2.0 seconds for a sound wave to...

It takes 2.0 seconds for a sound wave to travel between two fixed points when the day temperature is `10^(@) C`. If the temperature rise to `30 ^(@)C` the sound wave travels between the same fixed parts in

A

1.9 sec

B

2.0 sec

C

2.1 sec

D

2.2 sec

Text Solution

Verified by Experts

The correct Answer is:
A

Since, `vpropsqrt(T)` and `t=(d)//(v)` [`because` d = constant]
`therefore (t_(1))/(t_(2))=(v_(2))/(v_(1))=sqrt((T_(2))/(T_(1)))`
`implies (2)/(t_(2))=sqrt((303)/(283))impliest_(2)=1.9sec`.
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