Home
Class 11
PHYSICS
Find the icrease in temperature of alumi...

Find the icrease in temperature of aluminium rod if it`s length is to be increased by `1%` . (`alpha` for alumunium =`25xx10^(-6)//^(@)C)`

Text Solution

Verified by Experts

Percentage increase in length
= `("Increase in length")/("Initial length")xx100=(l_(2)-l_(1))/l_(1)xx100`
But `(l_(2)-l_(1))/l_(1)=alpha(t_(2)-t_(1))`
`therefore` Percentage increase in length = `alpha(t_(2)-t_(1))xx100`
Here, `alpha=25xx10^(-6)//""^(@)C`, percentage increase in length = 1
`1=25xx10^(-6)(t_(2)-t_(1))xx100`
`t_(2)-t_(1)=1/(25xx10^(-4))=10^(4)/25=400^(@)C`.
Promotional Banner

Topper's Solved these Questions

  • THERMAL PROPERTIES OF MATTER

    AAKASH SERIES|Exercise EXERCISE-IA|217 Videos

  • THERMAL PROPERTIES OF MATTER

    AAKASH SERIES|Exercise EXERCISE-IB|68 Videos

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH SERIES|Exercise PRACTICE EXERCISE|99 Videos

  • THERMODYNAMICS

    AAKASH SERIES|Exercise EXERCISE - 3|33 Videos

Similar Questions

Explore conceptually related problems

Find the increase in temperature of aluminium rof if its length is to be increased by 1%.( alpha fopr aluminium = 25 xx 10^(-6)//^(0) C )

The length of a steel rod exceeds that of a brass rod by 5cm. If the difference in their lengths remains same at all temperatures, then the length of brass rod will be : ( alpha for iron and brass are 12 xx 10^(-6)//°C and 18 xx 10^(-6)//°C respectively )

An aluminium rod of length 50cm is heated so that its temperature increases from 20^(@)C" to "80^(@)C . If the linear coefficient of expansion of aluminium is 24xx10^(-6)//""^(@)C find the increase in the length of the aluminium rod.

An aluminium rod of length 50cm is heated so that its temperature increases from 20^(0) C. to 80^(0) C. If the linear coefficient of expansion of aluminium is 24 xx 10^(-6)//^(0) C find the increase in the le,igth of the aluminium rod.