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STANDARDPhysics-Units and Measurements

STANDARD Physics Error Analysis MCQ Question

Type: MCQ-numerical-Medium-Class 11

A body travels uniformly a distance of (13.8 ± 0.2) m in a time (4.0 ± 0.3) s. Its velocity with error limits is

A

(3.5 ± 0.6) m s⁻¹

B

(3.5 ± 0.3) m s⁻¹

C

(6.1 ± 0.6) m s⁻¹

D

(6.1 ± 0.3) m s⁻¹

Correct Answer

Option B

Detailed Explanation

Here, s = (13.8 ± 0.2) m, t = (4.0 ± 0.3) s. The velocity, v = s/t = 3.45 m s⁻¹ (rounded off to first place of decimal). The error in velocity is calculated as Δv/v = Δs/s + Δt/t = 0.0895. Therefore, velocity = (3.5 ± 0.3) m s⁻¹.

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