Home
Class 11
PHYSICS
A clock with an iron pendulum keeps corr...

A clock with an iron pendulum keeps correct time at `20^(@)C`. How much time will it lose or gain in a day if the temperature changes to `40^(@)C`. Thermal coefficient of liner expansion `alpha = 0.000012 per^(@)C`.

A

10.368 sec gain

B

10.368 sec loss

C

5.184 sec gain

D

5.184 sec loss

Text Solution

Verified by Experts

The correct Answer is:
B
`T= 2pi sqrt((L)/(g))`
and `T.=2pi sqrt((L.)/(g))`
or `(T.)/(T)= sqrt((L.)/(L))`
`L.= L(1 xx alpha Delta t)`
`:.alpha=(gamma)/(3) = (36xx10^(-6))/(3)`
`=L(1+12 xx 10^(-6)xx20) = 12xx10^(-6)""^(@)C^(-1)`
`L.= L(1.00024)`
`(T.)/(T)= sqrt((1.00024L)/(L))`
or `(T.)/(2)= 1.00012 " "( :.T=2sec)`
`T.=2.00024`
Loss in time per day `=((2.00024-2) xx 24xx60xx60)/(2) sec. `
= 10.368 sec. Loss/day
Promotional Banner

Similar Questions

Explore conceptually related problems

A clock with an Iron Pendulum keeps correct time at 20^(@)C How much will it lose or gain if temperature changes to 40^(@)C ? [Given cubical expansion of iron =36xx10^(-6)""^(@)C^(-1) ]

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 with a steel pendulum gives accurate time at 30^@C . Calculate the fractional loss or gain in time if temperature changes to 50^@C . Coefficient of linear expansion of steel = 12 xx 10^(-6) ""^@C^(-1)

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

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 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 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 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 clock having a brass pendulum beats seconds at 30^@C . How many seconds will it lose or gain per day when temperature falls to 10^@C ? Given alpha for brass =(1.9xx10^-5)^@C^-1 .