Questions

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

## Unlock the full solution & 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
NEW

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

detailed solution

Correct option is B

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

Similar Questions

A glass vessel is partially filled with mercury and when both are heated together, the volume of the unfilled part of vessel remains constant at all temperature. Find the initial volume (in cm3) of mercury if the empty part measures 34 cm3 ${\mathrm{\gamma }}_{\mathrm{Hg}}=18×{10}^{-5}{/}^{\circ }\mathrm{C}]$

Get your all doubts cleared from
Sri Chaitanya experts

+91