SATHEE: Physics And Measurement Question 296

Physics And Measurement Question 296

Question: The density of a sphere is measured by measuring its mass and diameter. If, it is known that the maximum percentage errors in the measurement are 2% and 3%, then find the maximum percentage error in the measurement of density?

Options:

A) 15%

B) 18%

C) 9%

D) 11%

Show Answer

Answer:

Correct Answer: D

Solution:

[d] Let m and d be the mass and diameter of the sphere, then the density p of the sphere is given by $ρ = \frac{m a s s}{v o l u m e} = \frac{m}{\frac{4}{3} π {(\frac{d}{2})}^{3}} = \frac{6 m}{π d^{3}}$

$o r {(\frac{d ρ}{ρ} \times 100)}_{max} = | \frac{d m}{m} \times 100 | + | \frac{3 d (d)}{d} \times 100 |$

$= 2 + 3 (3) = 11$

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Physics And Measurement Question 296

Question: The density of a sphere is measured by measuring its mass and diameter. If, it is known that the maximum percentage errors in the measurement are 2% and 3%, then find the maximum percentage error in the measurement of density?

Options:

Answer:

Solution:

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