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Is Matter Around Us Pure

Question
CBSEENSC9006571

A wave pulse on a string moves a distance of 8 m in 0.05 s.

(a) Find the velocity of the pulse.

(b) What would be the wavelength of the wave of the same string if its frequency is 200 Hz?

Solution

a) Given, 
Distance travelled by the string, s  = 8 m
Time taken for the pulse to move through the string, t = 0.05 s
Velocity of the pulse, v = s/t 
v=  fraction numerator 8 over denominator 0.05 end fraction space equals space 160 space straight m divided by straight s
left parenthesis straight b right parenthesis space So comma space

Velocity space of space the space pulse comma space straight v space equals space 160 space straight m divided by straight s

Frequemcy space of space the space pulse comma space straight v space equals space 200 space Hz

therefore space Wavelength comma space straight lambda space equals space straight v over straight v space equals space fraction numerator 160 space straight m divided by straight s over denominator 200 space Hz end fraction space equals space 0.8 space straight m