A string is tied with wall at one end and a block at other end. Tension in string becomes equal to weight of block hanged. When a transverse wave is generated in this string, it's velocity is depends upon (i) tension in string and (ii) mass per unit length of string.
(i) If tension in string is increased 1.44 times then by what factor velocity of wave in string will increase?
Text Solution
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Ans.
(i)
Sol. v ∝ 
⇒ 
= 
= 1.2
(ii)
Sol. %(v) = 
{%(T) + %(m) + %( λ )}
= 
(2 + 0.61 + 1) ≈ 1.8 %
(iii)
Sol. % change in time taken in crossing string
= 
(% change in tension) = 1%
∴ Time taken = 10 – 0.1 = 9.9 sec
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