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PhysicsErrorMiscellaneousHard2 minPYQ_2018
PhysicsHardinteger

A steel wire of diameter0.5mmand Young's modulus2×1011 Nm-2carries a load of mass M. The length of the wire with the load is 1.0 m. A vernier scale with 10 divisions is attached to the end of this wire. Next to the steel wire is a reference wire to which a main scale, of least count 1.0 mm, is attached. The 10 divisions of the vernier scale correspond to 9 divisions of the main scale. Initially, the zero of vernier scale coincides with the zero of main scale. If the load on the steel wire is increased by1.2 kg, the vernier scale division which coincides with a main scale division is __________. Takeg=10 ms-1 and π= 3.2 .

Answer:
3
Solution:

d=0.5 mm
Y=2×1011
l=1m
l=FlAy=mglπd24y=1.2×10×1π4×5×10-42×2×1011
l=1.2×103.24×25×10-8×2×1011
= 121.6×25×103=1240×103=0.03mm
So 3rddivision of vernier scale will coincicle with main scale

Stream:JEE_ADVSubject:PhysicsTopic:ErrorSubtopic:Miscellaneous
2mℹ️ Source: PYQ_2018

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