Edexcel A-Level Physics AS 3.5 Processing Results Questions

Practise Edexcel A-Level Physics processing-results skills through processed columns, graph plotting, gradient constants, percentage uncertainty and consistency checks.

Syllabus
Pearson Edexcel International Advanced Subsidiary/Advanced Level
Course
Physics XPH11/YPH11
Level
AS

Exam points

  • plot processed data with labelled axes, sensible scales, accurate points and best-fit lines
  • use gradients or graph readings to determine constants such as B, v, g or Planck’s constant
  • calculate percentage uncertainty or difference before judging consistency with accepted values

Question 1

[Maximum number: 9]

A student investigated the bending of a plastic beam.

The beam, of width w and height h, was supported at either end by two metal rods a distance l apart, as shown.

Figure for Question 1 — Edexcel A-Level Physics AS

She applied a force F to the middle of the plastic beam by hanging a mass from it.

Figure for Question 1 — Edexcel A-Level Physics AS

The beam bent downwards as shown.

Figure for Question 1 — Edexcel A-Level Physics AS

She measured the vertical distance d moved by the middle of the plastic beam and repeated this measurement for increasing values of F.

She recorded her results in a table, as shown.

Table for Question 1 — Edexcel A-Level Physics AS

Question (a)

(a)

Using the grid opposite, plot a graph of d on the y-axis against F on the x-axis.

Figure for Question (a) — Edexcel A-Level Physics AS
[ 5 ]

Question (b)

(b)

Determine the gradient of your graph.

Gradient =

[ 2 ]

Question (c)

(c)

The student recorded the following measurements for the plastic beam.

l / cm = 30
w / mm = 20
h / mm = 10

Determine E, in GPa, for the plastic beam.

E = GPa

Figure for Question (c) — Edexcel A-Level Physics AS
[ 2 ]

Question 2

[Maximum number: 2]

Concrete is often used to make supporting beams in buildings.
Strands of a material can be added to the concrete mix to produce fibre-reinforced concrete.

A student had some small beams made of fibre-reinforced concrete.
Each beam was the same size.
He placed a beam across two supports, as shown.

Figure for Question 2 — Edexcel A-Level Physics AS

The student repeated the experiment using beams that contained different masses of reinforcing fibres. The student's results are shown in the table.

Table for Question 2 — Edexcel A-Level Physics AS

The student concluded that the increase in maximum force was proportional to the mass of fibre in the beam.

Explain how the student could justify his conclusion.

Question 3

[Maximum number: 6]

A student used a laser and screen to determine the diameter of a hair. The apparatus was arranged as shown.

Figure for Question 3 — Edexcel A-Level Physics AS

Question (a)

(a)

The student placed the screen 2 m from the hair.

He switched on the laser. A diffraction pattern was produced on the screen, as shown.

Figure for Question (a) — Edexcel A-Level Physics AS
[ 2 ]

Question (i)

(i)

Explain how the student could modify the arrangement of the apparatus to reduce the percentage uncertainty in this value.

[ 2 ]

Question (b)

(b)

The student repeated the procedure using three different lasers. Each laser produced a different wavelength of light.

The student calculated the diameter d of the hair using each laser. He recorded the values as shown.

Table for Question (b) — Edexcel A-Level Physics AS
[ 2 ]

Question (i)

(i)

Determine the percentage uncertainty in the mean value of d.

Percentage uncertainty =

[ 2 ]

Question (c)

(c)

In a different experiment, the student applied force to stretch the hair. He determined the average breaking stress for hair as 181 MPa with a percentage uncertainty of 6\%.

The student suggested that the breaking stress for hair is the same as the breaking stress for copper wire.

Deduce whether the suggestion is correct.
breaking stress for copper wire =210 MPa

[ 2 ]

Question 4

[Maximum number: 5]

A student investigated the bending of a plastic beam.

The beam, of width w and height h, was supported at either end by two metal rods a distance l apart, as shown.

Figure for Question 4 — Edexcel A-Level Physics AS

She applied a force F to the middle of the plastic beam by hanging a mass from it.

Figure for Question 4 — Edexcel A-Level Physics AS

The beam bent downwards as shown.

Figure for Question 4 — Edexcel A-Level Physics AS

She measured the vertical distance d moved by the middle of the plastic beam and repeated this measurement for increasing values of F.

She recorded her results in a table, as shown.

Table for Question 4 — Edexcel A-Level Physics AS

Using the grid opposite, plot a graph of d on the y-axis against F on the x-axis.

Figure for Question 4 — Edexcel A-Level Physics AS

Question 5

[Maximum number: 2]

A student used a laser and screen to determine the diameter of a hair. The apparatus was arranged as shown.

Figure for Question 5 — Edexcel A-Level Physics AS

The student placed the screen 2 m from the hair.

He switched on the laser. A diffraction pattern was produced on the screen, as shown.

Figure for Question 5 — Edexcel A-Level Physics AS

Explain how the student could modify the arrangement of the apparatus to reduce the percentage uncertainty in this value.

Question 6

[Maximum number: 2]

A student determined a value for the acceleration of freefall g using the apparatus shown.

Figure for Question 6 — Edexcel A-Level Physics AS

In this investigation, the relationship between t and h is given by

1/t² = (g/3s²)h − R

where R is a constant.

1t2=(g3s2)h−R\frac{1}{t^{2}}=\left(\frac{g}{3 s^{2}}\right) h-R

where R is a constant.

where R is a constant.

The student determined the value of g as 9.56 m s−29.56 \mathrm{~m} \mathrm{~s}^{-2} with a percentage uncertainty of 4%.

Deduce whether the student's value of g is consistent with the accepted value.

Question 7

[Maximum number: 2]

A strain gauge is a sensor made from metal foil fixed to a plastic sheet, as shown.

Figure for Question 7 — Edexcel A-Level Physics AS

Bending the plastic sheet changes the dimensions of the metal foil.
This changes the resistance of the metal foil.
A student connected the strain gauge into the circuit shown below.

Figure for Question 7 — Edexcel A-Level Physics AS

The student switched on the power supply and the voltmeter displayed the following reading: 16.2 mV.

Determine the percentage uncertainty in this reading.

Percentage uncertainty =

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