SATHEE: Physics And Measurement Question 285

Physics And Measurement Question 285

Question: In an experiment four quantities a, b, c and d are measured with percentage error 1%, 2%, 3% and 4% respectively. Quantity P is calculated as follows $P = \frac{a^{3} b^{2}}{c d}$ error in P is

Options:

A) 10%

B) 7%

C) 4%

D) 14%

Show Answer

Answer:

Correct Answer: D

Solution:

[d] $P = \frac{a^{3} b^{2}}{c d}, \frac{Δ P}{P} \times 100$ % $= 3 \frac{Δ a}{a} \times 100$ %

$+ 2 \frac{Δ b}{b} \times 100$ % $+ \frac{Δ c}{c} \times 100$ % $+ \frac{Δ d}{d} \times 100$ %

$= 3 \times 1$ % $+ 2 \times 2$ % $+ 3$ % $+ 4$ % $= 14$ %

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Physics And Measurement Question 285

Question: In an experiment four quantities a, b, c and d are measured with percentage error 1%, 2%, 3% and 4% respectively. Quantity P is calculated as follows P=a3b2cd error in P is

Options:

Answer:

Solution:

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Question: In an experiment four quantities a, b, c and d are measured with percentage error 1%, 2%, 3% and 4% respectively. Quantity P is calculated as follows $P = \frac{a^{3} b^{2}}{c d}$ error in P is