First slide

Thermal expansion

Question

If the coefficient of real expansion $γ_{R}$ is 1% more then coefficient of apparent expansion, linear expansion coefficient of the material is

Moderate

A

$\frac{γ_{R}}{303}$
B

$\frac{100 γ_{R}}{101}$
C

$\frac{101 γ_{R}}{300}$
D

$\frac{101 γ_{R}}{100}$

Solution

$g i v e n γ_{R} c o e f f i c i e n t o f r e a l e x p a n s i o n i n 1 % m o r e t h a n γ_{a} c o e f f i c i e n t o f a p p a r e n t e x p a n s i o n \Rightarrow γ_{R} = γ_{a} + \frac{1}{100} γ_{a} = \frac{101}{100} γ_{a} w e k n o w t h a t γ_{R} = γ_{a} + γ_{g} γ_{R} = γ_{a} + 3 α_{g} s u b s t i t u t e γ_{a} v a l u e h e r e γ_{R} = \frac{100}{101} γ_{R} + 3 α_{g} 3 α_{g} = γ_{R} [1 - \frac{100}{101}] = \frac{γ_{R}}{101} α_{g} = \frac{γ_{R}}{303}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App