If the random error in measurement of radius of a sphere is 2%, the error in volume is MCQ with Answer and Explanation

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If the random error in measurement of radius of a sphere is 2%, the error in volume is

A. 2%

B. 8%

C. 4%

D. 6%

Answer: Option D

Solution (By JKExamLibrary)

Volume V = (4/3)πr³. Fractional error ΔV/V = 3 Δr/r. Percentage error = 3 × 2% = 6%. Important for error analysis in competitive exams.

This question belongs to: Science Physics

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Nuclear fission is the process in which

A. Nucleus emits gamma rays

B. Light nuclei combine

C. Heavy nucleus splits

D. Electrons are emitted

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Correct Answer: Option C

Explanation:
Fission: heavy nucleus (e.g., U-235) splits into smaller nuclei plus neutrons and energy. Fusion: light nuclei combine (e.g., hydrogen to helium). Both release energy. Fission used in reactors and bombs.

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Which of the following colours of light has minimum wavelength?

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C. Red

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Correct Answer: Option B

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The percentage error in the measurement of mass is 1% and speed is 2%. Error in kinetic energy is

A. 5%

B. 4%

C. 2%

D. 6%

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Correct Answer: Option A

Explanation:
KE = ½mv², ΔKE/KE = Δm/m + 2 Δv/v = 1% + 4% = 5%.

This question belongs to: Science Physics

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