STANDARDPhysics-Units and Measurements

STANDARD Physics Error Analysis MCQ Question

Type: MCQ-numerical-Medium-Class 11

Measure of two quantities along with the precision of respective measuring instrument is A = 2.5 m s⁻¹ ± 0.5 m s⁻¹, B = 0.10 s ± 0.01 s. The value of AB will be

A

(0.25 ± 0.08) m

B

(0.25 ± 0.8) m

C

(0.25 ± 0.05) m

D

(0.25 ± 0.135) m

Correct Answer

Option A

Detailed Explanation

The value of AB is calculated using the formula AB = (2.5 m s⁻¹)(0.10 s) = 0.25 m. The error is calculated using the formula Δ(AB)/AB = ΔA/A + ΔB/B, resulting in an error of 0.08 m. Therefore, the value of AB is (0.25 ± 0.08) m.

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