Physics 5054 · O Level · Physical quantities and measurement techniques

Physical quantities and measurement techniques — practice question

A student determines the volume of two identical straws using two different methods.
(a(i))[1]

Measure the lengths $x$ and $D$ and note each one to the nearest $0.1\,\text{cm}$.

(a(ii))[1]

Use your value of $x$ from (a)(i) to calculate the length $l$ of the straw before it was cut up.

(a(iii))[1]

Use your value of $D$ in (a)(i) to calculate the diameter $d$ of a single straw. Give the answer to the nearest $0.01\,\text{cm}$.

(a(iv))[1]

Explain how the student can use a ruler together with two set squares to ensure that the measurement of $D$ is as accurate as possible. You may draw a diagram to support your explanation.

(a(v))[2]

The volume $V_1$ of the straw is defined by $V_1 = \frac{3.14 d^2 l}{4}$. Use your answers from (a)(ii) and (a)(iii) to calculate $V_1$. Give the answer to 2 significant figures.

(b(i))[1]

Write down the value of $V_T$ shown in Fig. 1.3.

(b(ii))[1]

Calculate the average volume of water $V_2$ in a single straw.

(c)[2]

Suggest two reasons for the difference between $V_1$ and $V_2$.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: 4.3 cm; 2.8 cm

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI