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Q.

Transverse waves are generated in two uniform steelwires A and B by attachilg their free end to vibratingsource of frequency 500 Hz. The diameter of wire A ishalf that of wire B and the tension on wire A is half thaton wire B. What is ratio of the velocity of waves inwires A and B?

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a

1:2

b

2:1

c

1 :2

d

2 :1

answer is D.

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Detailed Solution

V=Tm=Tπr2ρ V∝TD where D= diameter  v1v2=T1T21/2×D2D1 =T/2T1/2D(D/2)=22=21
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