The time period of oscillation of a spring-mass system in a satellite orbiting Earth is: MCQ with Answer and Explanation

The time period of oscillation of a spring-mass system in a satellite orbiting Earth is:
A. Zero
B. Same as on Earth
C. Infinite
D. Depends on orbital radius
Answer: Option B
Solution (By JKSSB Mock Tests)
Spring-mass period T = 2π√(m/k), depending only on mass and spring constant, not on gravity. In orbit, apparent weightlessness doesn't affect spring force (which depends on displacement, not gravity). Thus period remains unchanged. Pendulum period would change (depends on g), but spring-mass does not. Memory aid: 'Spring period: independent of g; pendulum period: depends on g'. This conceptual question tests oscillations fundamentals, frequently examined in competitive exams. Always distinguish gravity-dependent (pendulum) from gravity-independent (spring-mass) oscillators.

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Question #1
Assertion (A): A convex mirror is used as a rear-view mirror. Reason (R): It gives a wider field of view.
A. A true, R false
B. Both A and R true, R correct explanation
C. A false, R true
D. Both A and R true, R not correct explanation

Correct Answer: Option B


Explanation:
Convex mirror provides wider field and erect image, so R explains A correctly.

This question belongs to: Science Physics
Question #2
Object floats with 40% volume submerged. Density ratio (object/liquid) is:
A. 0.4
B. 1.4
C. 0.6
D. 2.5

Correct Answer: Option A


Explanation:
Floatation: weight = buoyant force ⇒ ρ_obj·V·g = ρ_liq·V_sub·g ⇒ ρ_obj/ρ_liq = V_sub/V = 0.4. Fraction submerged equals density ratio. Memory tip: 'Submerged fraction = ρ_object/ρ_fluid'. Direct Archimedes' principle application frequently tested in buoyancy sections of competitive exams.

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Question #3
Significant figures in 0.004050:
A. 4
B. 5
C. 7
D. 3

Correct Answer: Option A


Explanation:
Rules: leading zeros not significant; trailing zero after decimal is significant. Digits 4,0,5,0 are significant ⇒ 4 sig figs. Memory tip: 'Start at first non-zero; include trailing zeros after decimal'. Measurement precision concept frequently tested in competitive exams.

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