A metal wire has mass (0.4 ± 0.002) g , radius (0.3 ± 0.001) mm and length (5 ± 0.02) cm . The maximum possible percentage error in the measurement of - Physics MCQ NEET 2023 2026 | ExamTest.live

hardMCQNEET 20232026Physics

1 mark

A metal wire has mass (0.4 \pm 0.002) g, radius (0.3 \pm 0.001) mm and length (5 \pm 0.02) cm . The maximum possible percentage error in the measurement of density will nearly be:

Solution & Step-by-step Explanation

Density ρ = \frac{Mass}{Volume} = \frac{m}{π r ^{2} l} Relative error in density: \frac{Δ ρ}{ρ} = \frac{Δ m}{m} + 2 \frac{Δ r}{r} + \frac{Δ l}{l} Substitute the given values: \frac{Δ ρ}{ρ} = \frac{0.002}{0.4} + 2 (\frac{0.001}{0.3}) + \frac{0.02}{5} \frac{Δ ρ}{ρ} = 0.005 + 0.00666 + 0.004 = 0.01566 Percentage error \approx 0.01566 \times 100 = 1.566% \approx 1.6%

Try it yourself before checking the explanation above.

A metal wire has mass (0.4 \pm 0.002) g, radius (0.3 \pm 0.001) mm and length (5 \pm 0.02) cm . The maximum possible percentage error in the measurement of density will nearly be:

1.2%

1.3%

1.6%

1.4%

Practice with timed mock tests and track your performance across Physics.