Home
Class 12
PHYSICS
Two rods of length l(1) and l(2) are mad...

Two rods of length `l_(1)` and `l_(2)` are made of material whose coefficient of linear expansion are `alpha_(1)` and `alpha_(2)` , respectively. The difference between their lengths will be independent of temperatiure if `l_(1)//l_(2)` is to

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • HEAT AND THERMAL EXPANSION

    PHYSICS GALAXY - ASHISH ARORA|Exercise ADVANCE MCQs WITH ONE OR MORE OPTIONIS CORRECT|24 Videos

  • HEAT AND THERMAL EXPANSION

    PHYSICS GALAXY - ASHISH ARORA|Exercise UNSOLVED NUMRICAL PROBLEMS FOR PREPARATION OF NSEP, INPhO & IPhO|82 Videos

  • HEAT AND THERMAL EXPANSION

    PHYSICS GALAXY - ASHISH ARORA|Exercise CONCEPTUAL MCQs SINGLE OPTION CORRECT|15 Videos

  • GEOMETRICAL OPTICS

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical Problems|107 Videos

  • HEAT TRANSFER

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical Problems for Preparation of NSEP,INPhO&IPhO|66 Videos

Similar Questions

Explore conceptually related problems

Two rods of lengths l_(1) and l_(2) are made of materials having coefficients of linear expansion alpha_(1) and alpha_(2) respectively. What could be the relation between above values, if the difference in the lengths of the two rods does not depends on temperature variation?

Two rods of length L_(1) and L_(2) are made of materials of coefficients of linear expansions alpha_(1) an alpha_(2) respectively such that L_(1)alpha_(1)=L_(2)alpha_(2) . The temperature of the rods is increased by DeltaT and correspondingly the change in their respective lengths be DeltaL_(1) and DeltaL_(2)

Knowledge Check

  • If L_(1) and L_(2) are the lengths of two rods of coefficients of linear expansion alpha_(1) and alpha_(2) respectively the condition for the difference in lengths to be constant at all temperatures is

    A
    `L_(1)alpha_(1) = L_(2)alpha_(2)`
    B
    `L_(1)alpha_(2) = L_(2)alpha_(1)`
    C
    `L_(1)alpha_(1) = L_(2)alpha_(2)`
    D
    `L_(1)alpha_(2) = L_(2)alpha_(1) `

  • Two rods having length l_(1) and l_(2) , made of materials with the linear coefficient of expansion alpha_(1) and alpha_(2) were welded togther. The equivalent coefficients of linear expansion for the obtained rod:-

    A
    `(l_(1)alpha_(2)+l_(2)alpha_(1))/(l_(1)+l_(2))`
    B
    `(l_(1)alpha_(1)+l_(2)alpha_(2))/(alpha_(1)+alpha_(2))`
    C
    `(l_(1)alpha_(1)+l_(2)alpha_(2))/(l_(1)+l_(2))`
    D
    `(l_(2)alpha_(1)+l_(1)alpha_(2))/(alpha_(1)+alpha_(2))`

  • STATEMENT - 1 : A metallic rod placed upon smooth surface is heated. The strain produced is ZERO. STATEMENT - 2 : Strain is non-zero only when stress is developed in the rod. STATEMENT - 3 : Two metallic rods of length l_(1) and l_(2) and coefficient of linear expansion alpha_(1) and alpha_(2) are heated such that the difference of their length ramains same at ALL termperatures Then (alpha_(1))/(alpha_(2))=(l_(2))/(l_(1))

    A
    TTT
    B
    FTF
    C
    FFT
    D
    FFF

    • Similar Questions

    Explore conceptually related problems

    There are two rods of length l_1 l_2 and coefficient of linear expansions are alpha_1 and alpha_2 respectively. Find equivalent coefficient of thermal expansion for their combination in series.

    Two rods having length l_(1) and l_(2) made of materials with the linear expansion coefficient alpha_(1) and alpha_(2) were soldered together. The equivalent coefficients of linear expansion for the obtained rod

    The length of two metallic rods at temperatures theta are L_(A) and L_(B) and their linear coefficient of expansion are alpha_(A) and alpha_(B) respectively. If the difference in their lengths is to remian constant at any temperature then

    Two rods of lengths L_(1) and L_(2) are welded together to make a composite rod of length (L_(1)+L_(2)) . If the coefficient of linear expansion of the materials of the rod are alpha_(1) and alpha_(2) respectively. The effective coefficient of linear expansion of the composite rod is

    Two metallic rods of length l and 3l have coefficient of linear expansion alpha and 3alpha respectively. The coefficient of linear expansion ofr their series combinations, is

    Home
    Profile