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Q.

The force which must be exerted to prevent a uniform rod of cross sectional area 2mm2 from expanding when it is heated from 50C  to  250C is (α  of  steel=12×106/C,Y=1011Nm2)

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a

4.8 N

b

48 N

c

480 N 

d

4800 N

answer is B.

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Detailed Solution

 A=2mm2A=2×106m2
 =12×106/0C
 γ=1011  N/m2Δt=200C
 F=γAΔt=1011×2×106×12×106×20=48N

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