(b) An increase in teperature makes the pendulum slow and hence clock loses time.
Hard
H1. A copper and a tungsten plate having a thickness = 2mm each are riveted together so that at 0 ⁰C they from a flat bimetallic plate. Find the average radins of the curvature of this plate at t = 200 ⁰C. The coefficient of linear expansion for copper and tungsten are _cu = 1.7 X 10 ^-5/ K
_w = 0.4 X 10 ^-5 / K.

Solution:-



Av. length of copper plate
l_c = l_o (1 + _cT)
l_t = l_o (1 + _tT)[Tungsten]
l_t = (R + /2)
l_t = (R - /2)

R = 0.769 m

H2. At 0 ⁰C , three metal rods from an equilateral triangle. Two rods are of the same materials but the third is made of invar (length of invar do not change with temperature). When the triangle is heated upto 100 ⁰C , the angle formed between the metal of the sance materials is (/3 - ). Find the coefficient of linear expansion of the rod, materials ( small).

Solution:


B' = / 3 -
A = / 3 - /2
L_o(1 + 100) cos A =
Cos A = Cos(/3 + /2) = Cos/3Cos/2 - Sin/3 Sin/2
Cos/2 1
Sin/2 /2
=


Keywords:

1) Specific heat
2) Temperature
3) Tripple point
4) Thermal Capacity