Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

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2730 questions · page 73 of 137 · choose a topic above to narrow them down

SA-5054-TP1-0042 marksL2 StandardCalculatorGases

A gas at

200

kPa has a volume of

3.0

L. At constant temperature, its pressure falls to

100

kPa. Calculate its new volume in litres.

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SA-5054-TP2-0043 marksL2 StandardCalculatorSpecific heat capacity

2000

W kettle heats

1.5

kg of water from

20

°C to

100

°C. Ignoring energy losses, calculate the time taken. (

c=4200

J/(kg °C))

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SA-5054-TP3-0051 markL2 StandardCalculatorEvaporation

Evaporation cools the liquid left behind because

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SA-5054-TP4-0041 markL2 StandardCalculatorConduction & convection

The vacuum between the walls of a vacuum flask reduces energy transfer by

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SA-5054-WV2-0042 marksL2 StandardCalculatorRefraction

Calculate the critical angle for glass of refractive index

1.5

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SA-5054-WV2-0052 marksL2 StandardCalculatorRefraction

The critical angle for water is

49^\circ

. Calculate the refractive index of water.

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SA-5054-WV3-0041 markL2 StandardCalculatorLenses

A converging lens is used as a magnifying glass. The object must be placed

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SA-5054-WV4-0032 marksL2 StandardCalculatorThe spectrum

An FM radio station broadcasts at

100

MHz. Calculate the wavelength of its waves.

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SA-5054-WV4-0042 marksL2 StandardCalculatorThe spectrum

A microwave has a wavelength of

0.12

m. Calculate its frequency in GHz.

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SA-5054-WV5-0022 marksL2 StandardCalculatorEchoes & ultrasound

A shout echoes off a cliff and is heard

3.0

s later. The speed of sound is

330

m/s. Calculate the distance to the cliff.

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SA-9702-AC1-0022 marksL2 StandardCalculatorr.m.s. and power

An a.c. supply of peak voltage

20

V is connected across a

10

Ω resistor. Calculate the mean power.

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SA-9702-AC1-0051 markL2 StandardCalculatora.c. terms

A current is given by

I=3.0\sin(100\pi t)

A. State its frequency.

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SA-9702-AC2-0022 marksL2 StandardCalculatorSmoothing

470

μF smoothing capacitor is connected across a

1.0

kΩ load. Calculate the time constant.

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SA-9702-AC2-0051 markL2 StandardCalculatorSmoothing

Which change would reduce the ripple in a smoothed output?

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SA-9702-AS1-0012 marksL2 StandardCalculatorRadiant flux

The Sun has luminosity

3.83\times10^{26}

W and is

1.50\times10^{11}

m from Earth. Calculate the radiant flux intensity at Earth, in W m⁻².

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SA-9702-AS1-0022 marksL2 StandardCalculatorStandard candles

A Cepheid of luminosity

1.0\times10^{30}

W gives a radiant flux of

2.0\times10^{-12}

W m⁻² at Earth. Calculate its distance, in units of

10^{20}

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SA-9702-AS2-0022 marksL2 StandardCalculatorStefan–Boltzmann

A star has luminosity

3.8\times10^{28}

W and surface temperature

4000

K. Calculate its radius, in units of

10^{10}

m. (

\sigma=5.67\times10^{-8}

W m⁻² K⁻⁴)

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SA-9702-AS3-0012 marksL2 StandardCalculatorRedshift

A hydrogen line with laboratory wavelength

656.3

nm is observed at

669.4

nm in a galaxy's spectrum. Calculate the galaxy's recession speed, in units of

10^6

m s⁻¹.

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SA-9702-AS3-0021 markL2 StandardCalculatorHubble's law

A galaxy recedes at

6.0\times10^6

m s⁻¹. Using

H_0=2.3\times10^{-18}

s⁻¹, calculate its distance, in units of

10^{24}

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SA-9702-AS3-0032 marksL2 StandardCalculatorHubble's law

Estimate the age of the universe from

H_0=2.3\times10^{-18}

s⁻¹, in billions of years. (

1

year

=3.16\times10^7

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