Wave motionEasy
Question
The extension in a string, obeying Hook′s law, is x. The speed of transverse wave in the stretched string is v. If the extension in the string increased to 1.5 x, the speed of transerse wave will be
Options
A.1.22 v
B.0.61 v
C.1.50 v
D.0.75 v
Solution
From Hooke′s law
Tension in string (T) ∝ extension (x)
and speed of sound in string v =
or v ∝ √T
Therefore, v ∝ √T
x is increased to 1.5 times i.e., speed will increase by
times. Therefore, speed of sound in new position will be 1.22 v.
Tension in string (T) ∝ extension (x)
and speed of sound in string v =
or v ∝ √TTherefore, v ∝ √T
x is increased to 1.5 times i.e., speed will increase by
times. Therefore, speed of sound in new position will be 1.22 v.Create a free account to view solution
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