SATHEE: Atomic Structure Question 423

Atomic Structure Question 423

Question: The velocity of particle A is $0.1 m s^{- 1}$ and that of particle B is $0.05, m s^{- 1}$ . If the mass of particle B is five times that of particle A, then the ratio of de- Broglie wavelengths associated with the particles A and B is

Options:

A) 2 : 5

B) 3 : 4

C) 6 : 4

D) 5 : 2

Show Answer

Answer:

Correct Answer: D

Solution:

Given, $v_{A} = 0.1 m s^{- 1}$ and $v_{B} = 0.05 m s^{- 1}$ ms-1 also, $m_{B} = 5 m_{A}$ de-Broglie wavelength, $λ = \frac{h}{m v}$
$∴ \frac{λ_{A}}{λ_{B}} = \frac{h / m_{A} v_{A}}{h / m_{B} v_{B}} = \frac{m_{B} v_{B}}{m_{A} v_{A}}$

$= \frac{5 m_{A} \times 0.05}{m_{A} \times 0.1} = 5 \times 0.5 = 2.5 = 5 / 2$
$∴ λ_{A} : λ_{B} = 5 : 2$

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Atomic Structure Question 423

Question: The velocity of particle A is 0.1ms−1 and that of particle B is 0.05,ms−1 . If the mass of particle B is five times that of particle A, then the ratio of de- Broglie wavelengths associated with the particles A and B is

Options:

Answer:

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Question: The velocity of particle A is $0.1 m s^{- 1}$ and that of particle B is $0.05, m s^{- 1}$ . If the mass of particle B is five times that of particle A, then the ratio of de- Broglie wavelengths associated with the particles A and B is