Two strings A and B of same material are stretched by same tension. The radius of the string A is double the radius of string B. Transverse wave travels on string A with speed V_A and on string B wit…

Question

Two strings A and B of same material are stretched by same tension. The radius of the string A is double the radius of string B. Transverse wave travels on string A with speed V_A and on string B with speed V_B. The ratio V_AV_B is

Accepted Answer

Correct answer: B. (b) Velocity of transverse wave on a string is given by V_t= Tm where m= linear mass density of string = Ml= ρVl= ρπr^2ll= ρπr^2 ∴ V_t= T ρπr^2= 1r T ρπ Since T and are same for both strings, ∴ V_AV_B= r_Br_A= 12 ( given ,r_A=2r_B )

$Two strings A and B of same material are stretched by same tension. The radius of the string A is double the radius of string B . Transverse wave travels on string A with speed V_{A} and on string B with speed V_{B} . The ratio \frac{V _{A}}{V _{B}} is$

Solution

More Wave Motion & Waves on String PYQs