Measure of two quantities along with the precision of respective measuring instrument is

A=2.5\; m/s\pm 0.5\; m/s

B= 0.10\; s\; \pm 0.01\;s

The value of AB will be

a) (0.25 \pm 0.08) \; m

b) (0.25 \pm 0.5) m

c) (0.25 \pm 0.05) m

d) (0.25 \pm 0.135) m

Answers (1)

The answer is the option (a) (0.25\pm 0.08)m

Explanation : By using the given values of A & B,

X=AB=2.5\times 0.10=0.25\; m

\frac{\Delta x}{x}=\frac{\Delta A}{A}+\frac{\Delta B}{B}

=\frac{0.5}{2.5}+\frac{0.01}{0.10}

=\frac{0.075}{0.25}

Thus, \Delta x=0.075\cong 0.08

Thus, AB=(0.25\pm 0.08)m

Most Viewed Questions

Preparation Products

Knockout NEET 2024

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 40000/-
Buy Now
Knockout NEET 2025

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 45000/-
Buy Now
NEET Foundation + Knockout NEET 2024

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 54999/- ₹ 42499/-
Buy Now
NEET Foundation + Knockout NEET 2024 (Easy Installment)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 3999/-
Buy Now
NEET Foundation + Knockout NEET 2025 (Easy Installment)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 3999/-
Buy Now
Boost your Preparation for JEE Main with our Foundation Course
 
Exams
Articles
Questions