1.

A 200cm length of the wire weighs 0.6 gm. If the tension in the wire caused by a 500 gm mass hanged from it. If the approximate wavelength of a wave of frequency 400Hz sent down by it is 2^(n)xx10^(-2)m. Find the value of n (g=9.8m//s^(2))

Answer»


SOLUTION :`MU=` Mass per unit length `=m/l=(0.6xx10^(-3))/2=3XX10^(-4)kg//m`
`T=mg=0.5xx9.8=4.9Nimplies` Tension in the string
`V=` speed of wave in string`=sqrt(T/(mu))`
`=sqrt(4.9/(3xx10^(-4)))=128m//s`
`lamdaimplies` wavelength of the wave `=v/f=128/400=32xx10^(-2)m=2^(5)xx10^(-2)m`
`implies n=5`


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