Home
Class 11
PHYSICS
A clock which keeps correct time at 20^(...

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

10.3 seconds/day

B

20.6 seconds/day

C

5 seconds/day

D

20 minutes/day

Text Solution

Verified by Experts

The correct Answer is:
A
`Tpropsqrtl`
`implies (DeltaT)/(T)=(1)/(2)(Deltal)/(l) implies (1)/(2)(Deltal)/(l)=(1)/(2) alpha Delta theta`
Since, `l.=l(1+alpha Delta theta)`
`implies (Deltal)/(l)=alpha Delta theta`
`therefore (DeltaT)/(T)=(1)/(2) (Deltal)/(l)=(1)/(2) alpha Deltatheta=(1)/(2)xx12xx10^(-6)xx(40-20)`
`=12xx10^(-5)`
`implies DeltaT=12xx10^(-5)xx86400` sec/day
`implies DeltaT=10.3` sec/day.
Promotional Banner

Similar Questions

Explore conceptually related problems

The coefficient of linear expansion of a metal rod is 12 xx 10^(-6//0)C , its value in per ^(0)F

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?

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 clock which keeps correct time at 25^(@)C has a pendulum made of a metal. The temperature falls to 0^(@)C . If thecoefficient oflinear expansion of the metal is 1.9xx10^(-5) per .^(@)C , then number of second the clock gains per day is

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 ?

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 pendulum is

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

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