Questions

The coefficient of linear expansion of crystal in one direction is $α_{1}$ and that in every direction perpendicular to it is $α_{2}$ . The coefficient of cubical expansion is

Remember concepts with our Masterclasses.

80k Users

60 mins Expert Faculty Ask Questions

α1+α2

2α1+α2

α1+2α2

None of these

Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

detailed solution

Correct option is C

V = V0(1+γ∆θ) L3 = L0(1+α1∆θ)L20(1+α2∆θ)2 = L30(1+α1∆θ)(1+α2∆θ)2Since L30 = V0 and L3 = VHence 1+γ∆θ = (1+α1∆θ)(1+α2∆θ)2 = (1+α1∆θ)(1+2α2∆θ) = (1+α1∆θ+2α2∆θ)⇒γ = α1+2α2

Talk to our academic expert!

Create Your Own Test
Your Topic, Your Difficulty, Your Pace

Similar Questions

A vessel having coefficient of cubical expansion $γ_{g}$ contains liquid Of coefficient of real expansion r_R up to certain level. When Vessel
Is heated, match column I and column II.

	Column - I		Column - II
a	$γ_{g} < γ_{R}$	p	liquid level rises continuously from beginning
b	$γ_{g} = γ_{R}$	q	liquid level falls continuously from beginning
c	$γ_{g} > γ_{R}$	r	liquid level remains same
d	$γ_{g} = 0$	s	liquid level first falls and then rises