de Broglie wavelength λ = h/p. For electron, λ ∝: MCQ with Answer and Explanation

de Broglie wavelength λ = h/p. For electron, λ ∝:
A. v²
B. 1/v
C. v
D. 1/v²
Answer: Option B
Solution (By JKSSB Mock Tests)
p = mv ⇒ λ = h/(mv) ⇒ λ ∝ 1/v for constant mass. Higher velocity ⇒ shorter wavelength. Memory tip: 'λ = h/mv; faster particle ⇒ smaller wavelength'. Quantum mechanics relation frequently tested in competitive modern physics sections.

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Question #1
A photon of energy 3.3 eV has frequency approximately (h=4.14×10⁻¹⁵ eV s)
A. 8×10¹⁴ Hz
B. 3×10⁸ Hz
C. 5×10¹⁴ Hz
D. 1.25×10¹⁵ Hz

Correct Answer: Option A


Explanation:
f = E/h = 3.3 / 4.14×10⁻¹⁵ ≈ 8×10¹⁴ Hz.

This question belongs to: Science Physics
Question #2
If the length of a simple pendulum is quadrupled (increased by a factor of 4), what happens to its time period?
A. It doubles.
B. It quadruples.
C. It is halved.
D. It remains unchanged.

Correct Answer: Option A


Explanation:
The time period of a simple pendulum is given by T = 2π√(L/g), where L is the length of the string and g is acceleration due to gravity. The time period is directly proportional to the square root of the length (T ∝ √L). If L becomes 4L, the new time period T' = √4 = 2 times the original. It doubles.

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Question #3
The greenhouse effect is mainly due to increase in
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B. Nitrogen
C. Carbon dioxide
D. Argon

Correct Answer: Option C


Explanation:
CO2, methane trap heat.

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