Pendulum period independent of: MCQ with Answer and Explanation

Pendulum period independent of:
A. Bob mass
B. Length
C. Small amplitude
D. Gravity
Answer: Option A
Solution (By JKSSB Mock Tests)
T = 2π√(l/g): depends on l and g, independent of mass (gravitational and inertial mass cancel). Memory aid: 'Pendulum: T ∝ √(l/g); independent of mass for small angles'. Oscillations concept frequently tested in competitive exams.

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Question #1
Conservative force work over closed path:
A. Positive
B. Path dependent
C. Zero
D. Negative

Correct Answer: Option C


Explanation:
Conservative forces (gravity, spring): work path-independent ⇒ ∮F·dr = 0 over closed loop. Enables potential energy definition. Memory aid: 'Conservative: ∮F·dr = 0; enables energy conservation'. Mechanics foundation frequently tested in competitive exams.

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Question #2
Beta rays emitted by radioactive substances are essentially:
A. High-speed electrons
B. Helium nuclei
C. Neutrons
D. Electromagnetic waves

Correct Answer: Option A


Explanation:
During beta decay, a neutron in an unstable nucleus transforms into a proton and an electron. The proton remains in the nucleus, but the electron is ejected at high speed. These ejected, high-energy electrons are called beta rays (or beta particles). Gamma rays are electromagnetic waves, and alpha particles are helium nuclei.

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Question #3
An ultrasound wave has frequency 2 MHz. Time period is
A. 2 ms
B. 2 μs
C. 0.5 ms
D. 0.5 μs

Correct Answer: Option D


Explanation:
T = 1/(2×10⁶) = 0.5×10⁻⁶ s = 0.5 μs.

This question belongs to: Science Physics