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The figure shows two thin rods , one mad...

The figure shows two thin rods , one made of aluminium `[alpha = 23 xx 10^(-6) (C^(@))^(-1)]` and the other of steel `[alpha = 12 xx 10^(-6) (C^(@))^(-1)]`. Each rod has the same length and the same initial temperature . They are attached at one end to two separate immovable walls. Temperature of both the rods is increased by the same amount , until the gap between the rods vanishes . Where do the rods meet the gap vanishes?

A

The rods meet exactly at the midpoint.

B

The rods meet to the right of the midpoint.

C

The rods meet to the left of the midpoint .

D

Information insufficient

Text Solution

Verified by Experts

The correct Answer is:
B

As `alpha_(At) gt alpha_("steel")` so expansion in aluminum rod is greater .
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ALLEN -GEOMETRICAL OPTICS-SOME WORKED OUT EXAMPLES
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  2. The figure shows two thin rods , one made of aluminium [alpha = 23 xx ...

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  3. Certain perfect gas is found to obey PV^(n) = constant during adiabati...

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  4. figures shows the expansion of a 2m long metal rod with temperature . ...

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  5. The temperature of a body rises by 44^(@)C when a certain amount of he...

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  6. A fine steel wire of length 4m is fixed rigidly in a heavy brass fram...

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  7. 540 g of ice at 0^(@)C is mixed with 540 g of water at 80^(@)C. The fi...

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  8. A refrigerator converts 100 g of water at 25^(@)C into ice at -10^(@)C...

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  9. 5n , n and 5n moles of a monoatomic , diatomic and non-linear polyatom...

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  10. Figure shows the adiabatic curve on log-log scale performed on a ideal...

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  11. Figure demonstrates a polytropic process (i.e.PV^(n) = constant ) for ...

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  12. A vessel contains 14 g (7 moles ) of hydrogen and 96 g (3moles) of oxy...

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  13. Suppose 0.5 moles of an ideal gas undergoes an isothermal expansion as...

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  14. The respective speeds of five molecules are 2,1.5,1.6,1.6 and 1.2 km/s...

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  15. When water is boiled at 2 atm pressure the latent heat of vaporization...

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  16. Given T-p curve for three processes. Work done in process 1, 2 and 3 (...

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  17. Figure shows the variations of the internal energy U With density rho ...

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  18. One mole of an ideal gas undergoes a process whose molar heat capacity...

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  19. An irregular rod of same uniform material as shown in figure is condu...

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  20. A gas undergoes an adiabatic process in which pressure becomes ((8)/(3...

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