SATHEE: PYQ NEET- Units Of Measurement L-4

Question: 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 :

A) $1.3$

B) $1.6$

C) $1.4$

D) $1.2$

Answer: $1.6$

Solution:

$\begin{aligned} ρ = \frac{M}{V} & ρ = \frac{M}{π r^{2} ℓ} & \frac{Δ ρ}{ρ} = \frac{Δ M}{M} + \frac{2 Δ r}{r} + \frac{Δ ℓ}{ℓ} & \frac{Δ ρ}{ρ} & = \frac{1}{2} & = 1.6 \end{aligned}$

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Question: 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 density will nearly be :

Answer: 1.6

Solution:

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Question: 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 :

Answer: $1.6$