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Making measurements and analysing data

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Question 9

The density ρ \rho\,ρ of a uniform metal cylinder can be determined using the equation

ρ=Mπr2L \rho = \frac{M}{\pi r^2 L} ρ=πr2LM​

where M M\,M is the mass of the cylinder, r r\,r is its radius, and L L\,L is its length.

The percentage uncertainty in r r\,r is 1.6% and the percentage uncertainty in L L\,L is 2.5%. The percentage uncertainty in M M\,M is negligible.

What is the percentage uncertainty in ρ\rhoρ?

A

4.1%4.1\%4.1%

B

5.7%5.7\%5.7%

C

6.6%6.6\%6.6%

D

8.2%8.2\%8.2%

Markscheme

Making measurements and analysing data Questions

  1. A Level
  2. /Physics
  3. /Making measurements and analysing data

26 exam-style questions on OCR A A Level Physics Making measurements and analysing data, covering Measurements and uncertainties. Each one has a worked solution and a mark scheme showing where the marks go.

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