Home
Class 11
PHYSICS
Coefficient of linear expansion of brass...

Coefficient of linear expansion of brass and steel rods are `alpha_(1)` and `alpha_(2)`. Length of brass and steel rods are `l_(1)` and `l_(2)` respectively. If `(l_(2) - l_(1))` is maintained same at all temperature, which one of the following relations holds good?

A

`alpha_(1)l_(2)=alpha_(2)l_(1)`

B

`alpha_(1)l_(2)^(2)=alpha_(2)l_(1)^(2)`

C

`alpha_(1)^(2)l_(1)=alpha_(2)^(2)l_(2)`

D

`alpha_(1)l_(2)=alpha_(2)l_(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY

    ERRORLESS |Exercise Bulk Modulus|21 Videos
  • ELASTICITY

    ERRORLESS |Exercise Rigidity Modulus|18 Videos
  • FLUID MECHANICS

    ERRORLESS |Exercise Fluid Mechanics|19 Videos

Similar Questions

Explore conceptually related problems

Two rods AB and BC of equal cross-sectional area are joined together and clamped between two fixed supports as shown in the figure. For the rod AB and road BC lengths are l_(1) and l_(2) coefficient of linear expansion are alpha_(1) and alpha_(2) , young's modulus are Y_(1) and Y_(2) , densities are rho_(1) and rho_(2) respectively. Now the temperature of the compound rod is increased by theta . Assume of that there is no significant change in the lengths of rod due to heating. then the time taken by transverse wave pulse to travel from end A to other end C of the compound rod is directly proportional to

When solid is heated , its length changes according to the relation l=l_0(1+alphaDeltaT) , where l is the final length , l_0 is the initial length , DeltaT is the change in temperature , and alpha is the coefficient of linear is called super - facial expansion. the area changes according to the relation A=A_0(1+betaDeltaT) , where A is the tinal area , A_0 is the initial area, and beta is the coefficient of areal expansion. The coefficient of linear expansion of brass and steel are alpha_1 and alpha_2 If we take a brass rod of length I_1 and a steel rod of length I_2 at 0^@C , their difference in length remains the same at any temperature if

The coefficient of linear expansion of a rod is alpha and its length is L. The increase in temperature required to increase its legnth by 1% is

The coefficient of linear expansion varies linearly from alpha_(1) and alpha_(2) in a rod of length l . Find the increase in length when its temperature is increased by DeltaT .

The coefficient of linear expansion of an in homogeneous rod change linearly from alpha_(1) to alpha_(2) from one end to the other end of the rod. The effective coefficient of linear expansion of rod is

Two rods, one of aluminium and other made of steel, having initial lenghts l_(1) and l_(2) are connected together to form a singel rod of length (l_(1)+l_(2)) . The coefficient of linear expansions for aluminium and steel are alpha_(a) and alpha_(s) respectively. If length of each rod increases by same amount when their tempertures are raised by t^(@)C , then find the ratio l_(1) (l_(1)+l_(2)) .