Question

Two children are at opposite ends of a aluminum rod. One strikes the end of a rod with a Stone. Find the ratio of time taken by the sound wave in air and in aluminum to reach the second Child. (V in Al =6420 m/s and V in air=346 m/s)

Answer 1

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Velocity of sound in air= 346 m/s

Velocity of sound in air= 346 m/sVelocity of sound wave in aluminium=

Velocity of sound in air= 346 m/sVelocity of sound wave in aluminium=6420 m/s

Velocity of sound in air= 346 m/sVelocity of sound wave in aluminium=6420 m/sLet length of rode be 1

Velocity of sound in air= 346 m/sVelocity of sound wave in aluminium=6420 m/sLet length of rode be 1Time taken for sound wave in air, t1=1

Velocity of sound in air= 346 m/sVelocity of sound wave in aluminium=6420 m/sLet length of rode be 1Time taken for sound wave in air, t1=1Velocity in air

Velocity of sound in air= 346 m/sVelocity of sound wave in aluminium=6420 m/sLet length of rode be 1Time taken for sound wave in air, t1=1Velocity in airTime taken for sound wave in Aluminium,

Velocity of sound in air= 346 m/sVelocity of sound wave in aluminium=6420 m/sLet length of rode be 1Time taken for sound wave in air, t1=1Velocity in airTime taken for sound wave in Aluminium,t2=1/ Velocity in aluminium

Velocity of sound in air= 346 m/sVelocity of sound wave in aluminium=6420 m/sLet length of rode be 1Time taken for sound wave in air, t1=1Velocity in airTime taken for sound wave in Aluminium,t2=1/ Velocity in aluminiumTherefore, t1 +2 = Velocity in aluminium

Velocity of sound in air= 346 m/sVelocity of sound wave in aluminium=6420 m/sLet length of rode be 1Time taken for sound wave in air, t1=1Velocity in airTime taken for sound wave in Aluminium,t2=1/ Velocity in aluminiumTherefore, t1 +2 = Velocity in aluminiumVelocity in air = 6420 346 = 18.55:1

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Answer 2

[tex] \huge\mathbb{\underline{Answer:-}}

speed of sound in air = 346m/s

speed of sound in aluminium rod = 6420m/s

let the length of the rod be x

we know,

time = distance/speed

time taken in air = x/346

time taken in aluminium rod = x/6420

ratio =(x/346)/(x/6420)

= x/346 * 6420/x    [reciprocal]

x would get cancelled

= 6420/346

after cancelling

= 18.55

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