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STATEMENT - 1 : A metallic rod placed up...

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

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • 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

    A
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    B
    `2.5alpha`
    C
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    D
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    A
    `(alpha_(1))/(alpha_(2))`
    B
    `(alpha_(2))/(alpha_(1))`
    C
    `((alpha_(1))/(alpha_(2)))^(1//2)`
    D
    `((alpha_(2))/(alpha_(1)))^(1//2)`

  • 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

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

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