A clock with a metallic pendulum gains 6...

A clock with a metallic pendulum gains `6` seconds each day when the temperature is `20^(@)C` and loses `6` second when the temperature is `40^(@)C`. Find the coefficient of linear expansions of the metal.

Text Solution

Verified by Experts

The correct Answer is:

`alpha=1.4xx10^(-5).^(@)C^(-1)`

Topper's Solved these Questions

HEAT AND THERMAL EXPANSION
PHYSICS GALAXY - ASHISH ARORA|Exercise DISCUSSION QUESTION|24 Videos
HEAT AND THERMAL EXPANSION
PHYSICS GALAXY - ASHISH ARORA|Exercise CONCEPTUAL MCQs SINGLE OPTION CORRECT|15 Videos
HEAT AND THERMAL EXPANSION
PHYSICS GALAXY - ASHISH ARORA|Exercise UNSOLVED NUMRICAL PROBLEMS FOR PREPARATION OF NSEP, INPhO & IPhO|82 Videos
GEOMETRICAL OPTICS
PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical Problems|107 Videos
HEAT TRANSFER
PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical Problems for Preparation of NSEP,INPhO&IPhO|66 Videos

Similar Questions

Explore conceptually related problems

A clock with a metallic pendulum gains 5 s each day at a temperature of 15^@C and loses 10 s each day at a temperature of 30^@C . Find the coefficient of thermal expansion of the pendulum metal.

The volume of a metal sphere increases by 0.24% when its temperature is raised by 40^(@)C . The coefficient of linear expansion of the metal is .......... .^(@)C

The volume of a metal sphere increases by 0.15% when its temperature is raised by 24^@C . The coefficient of linear expansion of metal is

A metre scale is made up of steel and measures correct length at 16^C . What will be the percentage error if this scale is used (a) on a summer day when the temperature is 46^C and (b) on a winter day when the temperature is 6^C ? Coefficient of linear expansion of steel =11 xx 10^(-6) o^C^(-1) .

A concrete slab has a length of 10 m on a winter night when the temperature is 0^C . Find the lenth of the slab on a summer day when the temperature is 35^C . The coefficient of linear expansion of concrete is 1.0 XX 10^(-5) 0^ C^(-1) .

A clock with a metal pendulum beating sconds keeps correct time at 0^(@)C . If it loses 10 second a day at 20^(@)C , the coefficient of linear expansion of metal of pendulum is

A pendulum clock loses 24 sec a day if the temperature is 60^(@)C and gains 8 sec a day if the temperature is 40^(@)C .The temperature at which the clock will show correct time.

PHYSICS GALAXY - ASHISH ARORA-HEAT AND THERMAL EXPANSION-PRACTICE EXERCISE

If a liquid is contained in a long narrow rigid vessel so it an expand...
Text Solution
|
In observing thereal expansion of a liquid a certain part of glass ves...
Text Solution
|
A clock with a metallic pendulum gains 6 seconds each day when the tem...
Text Solution
|
The coefficient of apparent expansion of a liquid when determined usin...
Text Solution
|
A solid whose volume does not change with temperature floats in a liqu...
Text Solution
|
A small quantity of a liquid which dows not mix with water sinks to th...
Text Solution
|
A can of water of volume 0.5 m^(3) at a temperature 30^(@)C is cooled ...
Text Solution
|
Equal masses of three liquids A, B and C have temperature 10^(@)C, 25^...
Text Solution
|
A water heater can generate 8500 kcal/hr. How much water can it heat f...
Text Solution
|
When a 290 gm piece of iron at 180^(@)C is placed in a 100 gm aluminiu...
Text Solution
|
The specific heat of solids at low temperatures varies with absolute t...
Text Solution
|
A certain calorimeter has a water equivalent of 4.9 gm. That is in hea...
Text Solution
|
5g ice at 0^(@)C is mixed with 5g of steam at 100^(@)C. What is the fi...
Text Solution
|
A block of ice of mass M= 50 kg slides on a horizontal surface. It sta...
Text Solution
|
The temperature of a body rises by 44^(@)C when a certain amount of he...
Text Solution
|
In a mixture of 35 g of ice and 35 g of water in equilibrium, 4 gm ste...
Text Solution
|
A lead bullet just melts when stopped by an obstacle. Assuming that 25...
Text Solution
|
Aluminium container of mass of 10 g contains 200 g of ice at-20^(@)C. ...
Text Solution
|
1 kg of ice at 0^(@)C is mixed with 1 kg of steam at 100^(@)C. Find th...
Text Solution
|
When a block of metal of specific heat 0.1 cal//g//^@C and weighing 11...
Text Solution
|