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Q.

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

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a

0.02 mm

b

0.04 mm

c

0.03 mm

d

0.024 mm

answer is D.

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Detailed Solution

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