The percentage error in measurement of a cube's side is 2%. Maximum percentage error in its volume is: MCQ with Answer and Explanation

The percentage error in measurement of a cube's side is 2%. Maximum percentage error in its volume is:
A. 8%
B. 6%
C. 2%
D. 4%
Answer: Option B
Solution (By JKExamLibrary)
Volume V = a³. For error propagation: % error in V = 3 × % error in a. Given 2% error in side, volume error = 3×2% = 6%. Power rule: if Q = xⁿ, %ΔQ = |n|×%Δx. Memory tip: Volume depends on cube of length ⇒ errors triple. Common in experimental error analysis questions.

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Practice More Physics Questions

Question #1
The half-life of a radioactive sample is 3 days. After 9 days, fraction remaining is
A. 1/8
B. 1/2
C. 1/4
D. 1/16

Correct Answer: Option A


Explanation:
3 half-lives (9/3=3) => (1/2)³ = 1/8.

This question belongs to: Science Physics
Question #2
A bullet of mass 20 g is fired from a gun of mass 2 kg with velocity 300 m/s. The recoil velocity of the gun is:
A. 0.6 m/s
B. 3 m/s
C. 0.3 m/s
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Correct Answer: Option B


Explanation:
By conservation of momentum: initial momentum = 0 (system at rest). Final momentum: m_bullet×v_bullet + m_gun×v_gun = 0. Thus (0.02 kg)(300 m/s) + (2 kg)(v_gun) = 0 ⇒ 6 + 2v_gun = 0 ⇒ v_gun = -3 m/s. Magnitude is 3 m/s; negative sign indicates opposite direction to bullet. This demonstrates momentum conservation in isolated systems. Memory tip: Recoil velocity = -(m_bullet/m_gun)×v_bullet. Such numerical problems test application of conservation laws, frequently appearing in competitive exams with varying mass ratios and velocities.

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Correct Answer: Option C


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This question belongs to: Science Physics