Two wires A and B, having identical geometrical construction, are stretched from their natural length by small but equal amount. The Young modules of the wires are YA and YB whereas the densities are rhoA and rhoB. It is given that YA > YB and rhoA>rhoB. A transverse signal started at one end takes a time t1 to reach the other end for A and t2 for B.
(a) t1 < t2
(b) t1 = t2
(c) t1 > t2
(d) the information is insufficient to find the relation between t1 and t2.
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The information is not sufficient to find the relation between t₁ and t₂
- As Ya > Yb, for equal strain tension should be Ta > Tb and by ρa > ρb we have μa > μb
- The velocity of wave is given by v = √T/μ
Va / Vb = √Ta/μb / (√Tb/μb)
Va / Vb = √Ta/Tb ×√μb/μa
- As Ta/Tb >1 and μb/μa we cannot get the relation between t₁ and t₂
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