Home
Class 11
PHYSICS
A sphere of diameter 7.0 cm and mass 266...

A sphere of diameter 7.0 cm and mass 266.5 g float in a bath of liquid. As the temperature is raised, the sphere begins to sink at a temperature of `35^@ C`. If the density of liquid is `1.527 g cm^(-3)` at` 0^@C`, find the coefficient of cubical expansion of the liquid. Neglect the expansion of the sphere.

A

`0.00063//^@ C`

B

`0.00073//^@ C`

C

`0.00083//^@ C`

D

`0.00070//^@ C`

Text Solution

Verified by Experts

The correct Answer is:
C
The sphere will sink in the liquid at `35^@ C` when its density becomes equal to the dencity of liquid at `35^@ C`
The dencity of sphere,
`rho _35 =(266.5)/(4/3 xx ((22)/7) xx (7/2)^3`
= `1.483 g//cm^3`
Now, `rho _0 = rho_35[1 + gammaDeltaT)`
`1.527 = 1.483[1 + gamma xx 35]`
`1.029 = 1 + gamma xx 35`
`gamma =(1.029 - 1)/(35)`
= `0.00083//^@ C`.
Promotional Banner

Topper's Solved these Questions

  • THERMOMETRY,THERMAL EXPANSION & KINETIC THEORY OF GASES

    DC PANDEY|Exercise Example Type 1|1 Videos

  • THERMOMETRY,THERMAL EXPANSION & KINETIC THEORY OF GASES

    DC PANDEY|Exercise Example Type 2|1 Videos

  • THERMOMETRY THERMAL EXPANSION AND KINETIC THEORY OF GASES

    DC PANDEY|Exercise Medical entrance gallary|30 Videos

  • UNIT AND DIMENSIONS

    DC PANDEY|Exercise Assertion And Reason|2 Videos

Similar Questions

Explore conceptually related problems

A sphete of deamrter 7.0 cm and mass 266.5 g float in a bath of liquid. As the temperature is raised, the sphere begins to sink at a temperature of 35^0 c. If the density of liqued is 1.527 g cm^(-3) at 0^c, find the coeffiecient of cubical expamsion of the liquid. Neglect the expansion of the sphere.

A sphere of diameter 8cm and mass 275g floats in a bath of liquid. As the temperature is raised, the sphere begins to sink at a temperature of 40^(0)C . If the density of the liquid is 1.5g//cm^(3) at 0^(0)C , find the coefficient of cubical expansion of the liquid. Neglect the expansion of the sphere

A sphere of radius 3.5 cm and mass 250 gm floats in a liquid at 20^(@)C . As the temperature is raised, the sphere just being to sink at a temperature of 35^(@)C . If the density of liquid at 0^(@)C is 1.527gm//cm^(3) find the coefficient of cubical expansion of the liquid. Neglect expansion of the sphere.

The density of a liquid at 100^(@)C is 8.0g//cm^(3) and at 0^(@)C is 8.4g//cm^(3) , the coefficient of cubical expansion of the liquid is

A sphere of mass 180g and diameter 6 cm floats on the surface of a liquid. When the liquid is heated to 35^(0)C , the sphere sinks in the liquids. If the density of liquid at 0^(0)C is 2 gcm^(-5) . The coefficient of real expansion of liquid is

The density of mercury is 13.6 g cm^(-3) at 0^(@)C and its coefficient of cubical expansion is 1.82 xx 10^(-4).^(@)C^(-1) . Calculate the density of merucury at 50^(@)C .

A metallic bob weights 50 g in air. If it is immersed in a liquid at a temperature of 25^@ C , it weights 45 g . When the temperature of the liquid is raised to 100^@ C , it weights 45.1 g . Calculate the coefficient of cubical expansion of the liquid. Given that coefficient of cubical expansion of the metal is 12 xx 10^(-6) .^@ C^-1 .

The density of a liquid of coefficient of cubical expansion gamma is rho at 0^(@)C when the liquid is heated to a temp T , the change in density will be

An air bubble of 1cm radius is rising at a steady rate of 0.5cms^(-1) through a liquid of density 0.81gcm^(-3) . Calculate the coefficient of viscosity of the liquid. Neglect the density of air. ( Take g=10m//s^(2))