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>> $Each question contains statement 1 and s$

Question

Each question contains statement 1 and statement 2. Choose the correct answer (only one option is correct) from the following options.

Statement-1 : The de-Broglie wavelength of a molecule (in a sample of ideal gas) varies inversely as the square root of absolute temperature.
Statement-2 : The rms velocity of a molecule (in a sample of ideal gas) depends on temperature.

A

Statement-1 is false, Statement -2 is true

B

Statement -1 is true, Statement-2 is true; Statement -2 is a correct explanation for statement-1

C

Statement -1 is true, Statement-2 is true; Statement -2 is not correct explanation for statement-1

D

Statement-1 is true, Statement -2 is false

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Updated on : 2022-09-05

Solution

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Correct option is B)

$v_{r m s} = \frac{3 R T}{M}$

$v_{r m s} \propto T$

De broglie wavelength
$λ = \frac{h}{m v}$
$λ \propto \frac{1}{v _{r m s}}$
$λ \propto \frac{1}{T}$

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