Q.

The figure shows a glass tube (linear co-efficient of expansion is α) completely filled with a liquid of volume expansion co-efficient γ. On heating length of the liquid column does not change. Choose the correct relation between γ and α

Moderate

Unlock the Full Solution and Master the Concept

Get a detailed solution and exclusive access to our masterclass to ensure you never miss a concept
By Expert Faculty of Sri Chaitanya

a

γ=α

b

γ=2α

c

γ=3α

d

γ=α3

answer is 2.

(Detailed Solution Below)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

When length of the liquid column remains constant, then the level of liquid moves down with respect to the container, thus γ must be less than 3α.Now we can write V=V0(1+γΔT)Since V=Al0=A0(1+2αΔT)l0=V0(1+2αΔT)Hence V0(1+γΔT)=V0(1+2αΔT)⇒γ=2α
ctaimg
Choose your Grade and Exam
edit icon

Connect with our

Expert Counsellors

access to India's best teachers with a record of producing top rankers year on year.

+91

We will send a verification code via OTP.

whats app icon