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Questions  

Speed of a transverse wave on a straight wire (mass 6.0g, length 60 cm) and area of cross-section of wire 1.0mm2 is 80m/sec . If the young’s modulus of wire is 16×1011N/m2 , then extension of wire over its natural length is

a
0.02 mm
b
0.04 mm
c
0.03 mm
d
0.024 mm

detailed solution

Correct option is D

v=Tμ ⇒V=YAΔllml=16×1011×1×10−6×Δl6×10−3 ⇒80=16×1011×1×10−6×Δl6×10−3 ⇒64×102=16×1056×10−3×Δl ⇒Δl = 0.024 mm

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