Home
Class 11
PHYSICS
A steel rod of length 1 m is heated from...

A steel rod of length `1 m` is heated from `25^@ "to" 75^@ C` keeping its length constant. The longitudinal strain developed in the rod is ( Given, coefficient of linear expansion of steel = `12 xx 10^-6//^@ C`).

A

`6xx10^(-6)`

B

`-6xx10^(-5)`

C

`-6xx10^(-4)`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
C

Strain developed
`epsilon=alphaDeltaT=(12xx 10^(-6))(50)=6xx10^(-4)`
Strain will be negative, as the rod is in a compressed state.
`epsilon=alphaDeltaT=(12xx10^(-6))(50)=6xx10^(-4)`
Promotional Banner

Topper's Solved these Questions

  • FLUID MECHANICS

    RESONANCE|Exercise Examples|22 Videos
  • FLUID MECHANICS

    RESONANCE|Exercise Board Level Exercise|18 Videos
  • ELECTROSTATICS

    RESONANCE|Exercise Exercise|52 Videos
  • FULL TEST 1

    RESONANCE|Exercise Exercise|30 Videos

Similar Questions

Explore conceptually related problems

A steel ball initially at a pressure of 10^5Pa is heated from 20^@ C to 120^@ C keeping its volume constant. Find the final pressure inside the ball. Given that coefficient of linear expansion of steel is 1.1xx10^(-5)//^@C and Bulk modulus of steel is 1.6xx10^(11)Nt//m^(2) .

A steel ball initially at a pressure of 1.0 xx 10^5 Pa is heated from 20^0 C to 120^0 C keeping its volume constant. Find the pressure inside the ball. Coefficient of linear expansion of steel = 12 xx 10^(-6) ^0 C^(-1) and bulk modulus of steel = 1.6 xx 10^(11) N m^(-2)

A steel rod is clamped at its two ends and rests on a fixes horizontal base. The rod is unstrained at 20^C . Find the longitudinal strain debeloped in the tod if the temperature tises to 50^C . Coefficient of linear expansion of steel =1.2 xx 10^(-5_ 0^C(-1) .

A stell rod of length 1 m rests on a smooth horizontal base. If it is heates from 0^C to 100^C , what is the longitudional strain developed?

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

A steel tape 1m long is correctly calibrated for a temperature of 27^(@)C . The length of a steel rod measured by this tape is found to be 63.0cm on a hot day when the temperature is 45.0^(@)C . What is the acutual length of the steel rod on that day? what is the length of the same steel rod on a day when the temperature is 27.0^(@)C ? coefficient of linear expansion of steel = 1.20xx10^(-5) .^(@)C^(-1) .

When a metal rod is heated through 30^(@)C the thermal strain in the rod is 3.6 xx 10^(-4) .what is the coefficient of linear expansion of the metal ?

A brass rod of length 50 cm and diameter 3.0 cm is joined to a steel rod of the same length and diameter. What is the change in length of the combined rod at 250^(@)C , if the original length are at 40.0^(@)C ? (Coefficient of linear expansion of brass =2.0 xx 10^(-5)//^(@)C, steel = 1.2 xx 10^(-5)//^(@)C

A copper rod of length l_(0) at 0^(@) C is placed on smooth surface. Now, the rod is heated upto 100^(@) C. Find the longtidudinal strain developed. ( alpha =coefficient of linear expansion)