A body travels uniformly a distance of (20 ± 0.2) m in a time (4.0 ± 0.4) s. The percentage error in the value of velocity is

Correct answer: B. 11\ \% Velocity is given by v = (s)/(t) The percentage error in velocity is (Δ v)/(v) × 100 = ( (Δ s)/(s) + (Δ t)/(t) ) × 100 Substituting the given values: (Δ v)/(v) × 100 = ( (0.2)/(20) + (0.4)/(4.0) ) × 100 (Δ v)/(v) × 100 = (0.01 + 0.1) × 100 = 0.11 × 100 = 11\ \% Answer: 11\ \%

MHT CET 202626 AprilMorning Shift

Exam: MHT CET
Year: 2026
Date: 26 April
Shift: Morning Shift
Subject: Physics
Chapter: Mathematics in Physics

MHT CET 2026 · 26 April · Morning Shift · Physics · Mathematics in Physics

A body travels uniformly a distance of (20 ± 0.2) m in a time (4.0...

A body travels uniformly a distance of

(20 \pm 0.2)

m in a time

(4.0 \pm 0.4)

s. The percentage error in the value of velocity is

Options

A $8\ \%$
B $11\ \%$
C $4\ \%$
D $16\ \%$

Correct answer

B. $11\ \%$

Step-by-step solution

Velocity is given by

v = \dfrac{s}{t}

The percentage error in velocity is

\dfrac{\Delta v}{v} \times 100 = \left( \dfrac{\Delta s}{s} + \dfrac{\Delta t}{t} \right) \times 100

Substituting the given values:

\dfrac{\Delta v}{v} \times 100 = \left( \dfrac{0.2}{20} + \dfrac{0.4}{4.0} \right) \times 100

\dfrac{\Delta v}{v} \times 100 = (0.01 + 0.1) \times 100 = 0.11 \times 100 = 11\ \%

Answer:

11\ \%

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