Question
Physics Question on Dual nature of matter
A proton accelerated through a potential difference V has a de Broglie wavelength λ. On doubling the accelerating potential, the de Broglie wavelength of the proton_____.
Fill in the blank with the correct answer from the options given below
A
Remains unchanged
B
Becomes double
C
Becomes four times
D
Decreases
Answer
Decreases
Explanation
Solution
The de Broglie wavelength λ is inversely proportional to the square root of its kinetic energy (λ ∝ 1/√V). When the accelerating potential is doubled, the kinetic energy increases, and the wavelength decreases by a factor of √2. Hence, the correct answer is Option 4.