Two strings A and B, made of same material, are stretched
by same tension. The radius of string A is double of radius
of B. A transverse wave travels on A with speed vA and on
B with speed vB. The ratio vA / vB is
(a) 1/2 (b) 2
(c) 1/4 (d) 4
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Answer:
Velocity of a transverse wave in a stretched string v= root of T / μ
where T is the tension of the string and μ is mass per unit length of the string.
μ=πr ² ×ρ
where r is the radius or the string and ρ is the density of the material of the string.
∴v= 1 / r root (T/ πp )
Since T,ρ are constant
∴v∝ 1/r
v A/ vB = rB /rA = ( rB / 2rB) = 1/2
PLS MARK AS BRAINLIEST!!!!
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