A thin rod having a length of 1 m and area of cross-section 3x10 -6 m 2 is suspended vertically from one end. The rod is cooled from 210°C to 160°C After cooling, a mass M is attached at the lower end of the rod such that the length of rod again becomes 1 m. Young's modulus and coefficient of linear expansion of the rod are 2x10 11 Nm -2 and 2x10 -5 K -1 , respectively. The value of M is______kg. (Take g = 10 m s -2 )
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(60)
If 
is decease in length of rod due to decease in temperature
= 2x10 -5 K -1 , 
T = (210-160)
= 50K
= lx2xl0 -5 x50 = 10 -3 m
Young Modulus = Y = 
A = 3 x 10 -6 m 2
Mg=2x10 11 x3x10 -9 =6x10 -2
M = 60 kg
Ans is 60.
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