Home
Class 11
PHYSICS
Volume of the bulb of a mercury thermome...

Volume of the bulb of a mercury thermometer at `0^(@)C" is "V_(0)` and area of cross section of the capillary tube is `A_(0)`, coefficient of linear expansion of glass is `alpha_(g)` per `""^(@)C`, and the cubical expansion of mercury is `gamma_(m)` per `""^(@)C`. If the mercury fills the bulb at `0^(@)C`, find the length of mercury column in capillary tube at `T^(@)C`

Text Solution

Verified by Experts

Expansion of mercury = `V_(0)gamma_(m)T`
Expansion in glass bulb = `V_(0)3alpha_(g)T`
Apparent expansion in mercury
`=V_(0)gamma_(m)T-V_(0)3alpha_(g)T`
i.e., `A_(t)xDeltal=V_(0)T(gamma_(m)-3alpha_(g))`
`Deltal=(V_(0)T(gamma_(m)-3alpha_(g)))/A_(t)=(V_(0)T(gamma_(m)=3alpha_(g)))/(A_(0)(1+2alpha_(g)T))`
Promotional Banner

Topper's Solved these Questions

  • THERMAL PROPERTIES OF MATTER

    AAKASH SERIES|Exercise EXERCISE-IA|217 Videos

  • THERMAL PROPERTIES OF MATTER

    AAKASH SERIES|Exercise EXERCISE-IB|68 Videos

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH SERIES|Exercise PRACTICE EXERCISE|99 Videos

  • THERMODYNAMICS

    AAKASH SERIES|Exercise EXERCISE - 3|33 Videos

Similar Questions

Explore conceptually related problems

The coefficient of linear expansion of gold is 14x 10^(-6)//^(0) C. Find the coefficient of linear expansion of Fahrenheit scale.

Volume of mercury in the bulb of a thermometer is 10^(-6)m^(3) . Area of cross section of capillary tube is 2xx10^(-7)m^(2) . If the temperature is raised by 100^(@)C , the length of mercury column is (gamma_(Hg)=18" "10^(-5)//""^(@)C)

coefficient of real expansion of mercury is 0.18xx10^(-3)//""^(@)C . If the density of mercury at 0^(@)C is 13.6 gm/c.c., its density at 573 K will be

A glass bulb of volume 250 c.c is completely filled with mercury at 20^(@)C . The temperature of the system is raised to 100^(@)C . If the coefficient of linear expansion of glass is 9xx10^(-6)//""^(@)C and coefficient of absolute expansion of mercury is 1.8xx10^(-4)//""^(@)C , the volume of mercury that overflows is nearly