Question
A proton and an -particle are accelerated from rest by 2 ~V and 4 ~V potentials, respectively. The ratio of their de-Broglie wavelength is:
BITSAT
Physics
Dual Nature of Matter
2023
BITSAT 2023 (Memory Based Paper 2)
BITSAT Physics Question (2023) — Solution
Options
- A. 4 : 1
- B. 2 : 1
- C. 8 : 1
- D. 16 : 1
Answer
A. 4 : 1
Step-by-step solution
De-Broglie wavelength, aligned & = h mv = h 2 mK = h 2 mq V \\ & _ _ p = 2 ~m _ p V _ p q _ p 2 ~m _ V _ q _ \\ & V _ p =2 ~V and V _ =4 ~V (given) \\ & m _ =4 ~m _ p and q _ =2 q _ p aligned _ _p = 1 2 1 4 4 2 = 1 4 _p: _ =4: 1
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