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Physics-

General

Easy

Question

. It takes 2.0 s for a sound wave to travel between two fixed points when the day temperature is 10°C. if the temperature rises to 30^°C the sound wave travels between the same fixed parts in

1.9s
2.0s
2.1s
2.2s

The correct answer is: 1.9s

Velocity of sound $v proportional to square root of T$
Time
$t proportional to fraction numerator 1 over denominator square root of v end fraction$
$therefore t proportional to fraction numerator 1 over denominator square root of T end fraction$
$fraction numerator t subscript 1 end subscript over denominator t subscript 2 end subscript end fraction equals square root of fraction numerator T subscript 1 end subscript over denominator T subscript 2 end subscript end fraction end root$
$fraction numerator 2 over denominator t subscript 2 end subscript end fraction equals square root of fraction numerator 273 plus 30 over denominator 273 plus 10 end fraction end root$
$fraction numerator 2 over denominator t subscript 2 end subscript end fraction equals square root of fraction numerator 303 over denominator 283 end fraction end root equals 1.03$
$t subscript 2 end subscript equals fraction numerator 2 over denominator 1.03 end fraction equals 1.9 s$

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