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_1l_1=a_2l_2`

`a_1l_2=a_2l_1`

`a_1^(2)l_2=a_2^(2)l_1`

`a_1l_2^(2)=a_2l_1^(2)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

NTA NEET SET 63
NTA MOCK TESTS|Exercise PHYSICS|45 Videos
NTA NEET SET 66
NTA MOCK TESTS|Exercise PHYSICS|45 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)) .

NTA MOCK TESTS-NTA NEET SET 65-PHYSICS

How many alpha and beta-particles are emitted in the transformation ""...
Text Solution
|
In nuclear reaction .(4)Be^(9)+.(2)He^(4)rarr.(6)C^(12)+X,X will be
Text Solution
|
The time period of oscillations of a block attached to a spring is t(1...
Text Solution
|
The phase difference between two waves represented by y(1)=10 ^(...
Text Solution
|
The maximum kinetic energy of a photoelectron is 3 eV. What is its sto...
Text Solution
|
From the following graph of photocurrent against collector plate poten...
Text Solution
|
A liquid drop having surface energy E is spread into 512 droplets of s...
Text Solution
|
A body floats in a liquid contained in a beaker. The whole system as s...
Text Solution
|
Given that, velocity of light in quartz =1.5xx10^(8)m//s and velocity ...
Text Solution
|
Light has the following wave property
Text Solution
|
On applying a constant torque, a wheel at rest, turns through 400 radi...
Text Solution
|
If the ratio of the concentration of electron to that of holes in a se...
Text Solution
|
In the following common emitter configuration an NPN transistor with c...
Text Solution
|
Coefficient of linear expansion of brass and steel rods are alpha(1) a...
Text Solution
|
A public park , in the form of a square , has an area of (100pm0.2 ) m...
Text Solution
|
In a Young's double slit experiment, 12 fringes are observed to be for...
Text Solution
|
If numerical aperture of a microscope is increased, then its
Text Solution
|
A wave of frequency 500 Hz has velocity 360 m/sec. The distance betwee...
Text Solution
|
If E and B represent electric and magnetic field vectors of the electr...
Text Solution
|
The potential energy for a force filed vecF is given by U(x,y)=cos(x+y...
Text Solution
|