Home
Class 10
PHYSICS
A pendulum clock keeps correct time at 0...

A pendulum clock keeps correct time at `0^(@)C`. Its mean coefficient of linear expansions is `alpha//.^(@)C`, then the loss in seconds per day by the clock if the temperature rises by `t^(@)C` is

A

`((1)/(2)alpha txx864000)/(1-(at)/(2))`

B

`(1)/(2)alpha txx86400`

C

`((1)/(2)alpha txx86400)/((1-(at)/(2))^(2))`

D

`((1)/(2)alpha txx86400)/(1+(alpha t)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Loss in time per second,
`(DeltaT)/(T)=(1)/(2) alpha Delta theta=(1)/(2) alpha (t- 0)`
`rArr` loss in time per day,
`Deltat=(1)/(2) alpha t=(1)/(2) alpha t xx (24xx60xx60)=(1)/(2) alpha xx86400`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • HEAT AND TEMPERATURE

    CENGAGE PHYSICS|Exercise CHALLENGING EXERCISE|5 Videos

  • HEAT AND MECHANICAL ENERGY

    CENGAGE PHYSICS|Exercise Olympiad and NTSE Level Exercises|7 Videos

  • LASERS

    CENGAGE PHYSICS|Exercise OLYMPIAD AND NTSE LEVEL EXERCISES |1 Videos

Similar Questions

Explore conceptually related problems

A pendulum clock keeping correct time is taken to high altitudes

A pendulum clock thast keeps correct time on the earth is taken to the moon. It will run

Knowledge Check

  • A pendulum clock shows correct time at 0^(@)C . On a summer day

    A
    it runs slow and gain time
    B
    it runs fast and loses time
    C
    it runs slow and loses time
    D
    it runs fast and gains time

  • A pendulum clock shows correct time at 0^(@)C . At a higher temperature the clock.

    A
    looses time
    B
    gains time
    C
    neither looses nor gains time
    D
    will not operate

  • A pendulum clock keeps correct time at 20^(@)C and coefficient of linear expansion of pendulum is 12xx10^(-6)//.^(@)C . If the room temperature increases to 40^(@)C , how many seconds the clock lose or gain per day?

    A
    10.36 s
    B
    20.6 s
    C
    5 s
    D
    20 minutes

    • Similar Questions

    Explore conceptually related problems

    At certain temperature the pendulum of clock keeps correct time. The coefficient of lienar expansion for the pendulum material is alpha=1.85xx10^(-5)@c^(-1) . How much will the clock gain or lose in 24 hours if the ambient temperature is 10^(@)C higher?

    A pendulum clock which keeps correct time at the surface of the earth is taken into a mine, then

    A pendulum clock, made of a material having coefficient of linear expansion alpha=9xx10^(-7)//.^(@)C has a period of 0.500 sec at 20^(@)C . If the clock is used in a climate where temperature averages 30^(@)C , what correction is necessary at the end of 30 days to the time given by clock?

    A clock with an iron pendulum keeps correct time at 15^(@)C . If the room temperature rises to 20^(@)C , the error in sconds per day will be (coefficient of linear expansion for iron is 0.000012//^(@)C)

    A clock which keeps correct time at 25^@C , has a pendulum made of brass. The coefficient of linear expansion for brass is 0.000019.^@C^(-1) . How many seconds a day will it gain if the ambient temperature falls to 0.^@C ?

    Home
    Profile