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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)`) |
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Answer» Correct Answer - 5 `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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