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Q.

The Young’s modulus of a steel wire of length 6 m and cross-sectional area 3 mm2, is 2×1011 N/m2 . The wire is suspended from its support on a given planet. A block of mass 4 kg is attached to the free end of the wire. The acceleration due to gravity on the planet is 14 of its value on the earth. The elongation of wire is (Take g on the earth = 10 m/s2)

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a

0.1 cm

b

0.1 mm

c

1 cm

d

1 mm

answer is B.

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Detailed Solution

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e=FLAY=Mg1LAYe=4g46(3)×1032×2×1011=10×63×106×2×1011=104 m=0.1mm

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The Young’s modulus of a steel wire of length 6 m and cross-sectional area 3 mm2, is 2×1011 N/m2 . The wire is suspended from its support on a given planet. A block of mass 4 kg is attached to the free end of the wire. The acceleration due to gravity on the planet is 14 of its value on the earth. The elongation of wire is (Take g on the earth = 10 m/s2)