Home
Class 11
PHYSICS
A clock with a metal pendulum beating se...

A clock with a metal pendulum beating seconds keeps correct time at `0^@C`. If it loses 12.5 s a day at `25^@C`, the coefficient of linear expansion of metal of pendulum is

Text Solution

Verified by Experts

Loss or gain per day `=dT=(1)/(2)alphadtxx86400`
Since `T=86400s` for each day
At `15^@C`,`5=(1)/(2)alpha(t-15)xx86400`
At `30^@C`,`10=(1)/(2)alpha(30-t)xx86400`
`(30-t)/(t-15)=2implies3t=60^@Cimpliest=20^@C`
`alpha=(10)/((t-15)xx86400)=(10)/(5xx86400)=0.000023`
`2.3xx(10^-5^@)/(C)=2`
Promotional Banner

Topper's Solved these Questions

  • CALORIMETRY

    CENGAGE PHYSICS ENGLISH|Exercise Solved Example|13 Videos

  • CALORIMETRY

    CENGAGE PHYSICS ENGLISH|Exercise Comprehension|30 Videos

  • BASIC MATHEMATICS

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 2.6|20 Videos

  • CENTRE OF MASS

    CENGAGE PHYSICS ENGLISH|Exercise INTEGER_TYPE|1 Videos

Similar Questions

Explore conceptually related problems

A clock with a metal pendulum beating seconds keeps correct time at 0^(@)C. If it loses 12.5s a day at 25^(@)C the coefficient of linear expansion of metal pendulum is

A pendulum clock having copper rod keeps correct time at 20^@ C . It gains 15 seconds per day if cooled to 0^@C . Calculate the coefficient of linear expansion of copper.

A pendulum clock having copper rod keeos correct time at 20^0 C . It gains 15 seconds per day if cooled to 0^@C . Calculate the coefficient of linear expansion of copper.

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.

An insulated chamber at a height h above the earth's surface and maintained at 30^(@)C has a clock fitted with an uncompensated pendulum. The maker of the clock for the chamber mistakenly design it to maintain correct time at 20^(@)C at that height. it is found that if the chamber were brought to earth's surface the clock in it would click correct time at 30^(@)C . the coefficient of linear expansion of the material of pendulum is (earth's radius is R)

On heating the metal rod of length 2m from 0°C to 50°C , its length is increased by 0.1 cm. the coeffecient of linear expansion of metal rod is

A clock with a metallic pendulum at 15°C runs faster by 5 sec each day and at 30°C, runs slow by 10 sec. The coefficient of linear expansion of the metal is nxx10^(-6)//^(@)C where the value of n in nearest integer is ___.

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.

A clock which keeps correct time at 20^(@)C is subjected to 40^(@)C. If coefficient of linear expansion of the pendulum is 12xx10^(-6)//"^(@)C. How much will it gain or loss in time ?

A clock with a metallic pendulum 4 second fast each day at a temperature of 20°C . The koi efficient of linear expansion of given metal is 2.77xx10^(-5)°C^(-1) . The temperature at which clock gives correct reading is nearly