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 77 of 137 · choose a topic above to narrow them down

SA-9702-OS1-0052 marksL2 StandardCalculatorOscillation terms

Two pendulums with period

2.0

s pass through equilibrium in the same direction

0.50

s apart. Calculate the phase difference, in radians.

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SA-9702-OS2-0022 marksL2 StandardCalculatorVelocity in SHM

For the oscillator above (

\omega=10

rad s⁻¹,

x_0=0.050

m), calculate the speed at

x=0.030

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SA-9702-OS2-0032 marksL2 StandardCalculatorEnergy in SHM

0.20

kg mass oscillates with

\omega=10

rad s⁻¹ and amplitude

0.050

m. Calculate its total energy.

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SA-9702-OS3-0012 marksL2 StandardCalculatorResonance

0.40

kg mass hangs on a spring of stiffness

40

N m⁻¹. Calculate the driving frequency at which resonance occurs.

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SA-9702-OS3-0042 marksL2 StandardCalculatorDamping

The amplitude of a lightly damped oscillator falls from

10

cm to

8.0

cm in one cycle. Calculate the percentage of its energy lost in that cycle.

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SA-9702-OS3-0051 markL2 StandardCalculatorResonance

Increasing the damping of a forced oscillator

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SA-9702-PL1-0021 markL2 StandardCalculatorMethod and safety

It is suggested that

T=km^n

. The graph that should be plotted to find

n

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SA-9702-PL1-0031 markL2 StandardCalculatorMethod and safety

A graph of

\lg T

against

\lg m

has a

y

-intercept of

0.30

. Calculate

k

T=km^n

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SA-9702-PL1-0041 markL2 StandardCalculatorMethod and safety

It is suggested that

V=V_0e^{-t/\tau}

. To find

\tau

, plot

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SA-9702-PL2-0011 markL2 StandardCalculatorError bars

d=2.0\pm0.1

mm. Calculate the absolute uncertainty in

\lg(d/\text{mm})

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SA-9702-PL2-0032 marksL2 StandardCalculatorGradient uncertainty

Using gradient

m=4.03\pm0.18

s² m⁻¹ and

g=\dfrac{4\pi^2}m

, calculate the absolute uncertainty in

g

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SA-9702-PL2-0051 markL2 StandardCalculatorError bars

x=4.0\pm0.2

. Calculate the absolute uncertainty in

\ln x

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SA-9702-PP1-0031 markL2 StandardCalculatorDecay equations

Carbon-14 (

Z=6

) decays by β⁻ emission. State the proton number of the daughter nucleus.

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SA-9702-PP2-0031 markL2 StandardCalculatorQuarks and hadrons

Calculate the charge, in units of

e

, of a meson with composition

\text{u}\bar{\text{d}}

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SA-9702-PQ1-0051 markL2 StandardCalculatorSI units

The pascal expressed in SI base units is

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SA-9702-PQ2-0032 marksL2 StandardCalculatorUncertainties

V=(5.0\pm0.1)

V and

I=(0.50\pm0.02)

A. Calculate the percentage uncertainty in

R=\dfrac VI

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SA-9702-PQ2-0042 marksL2 StandardCalculatorUncertainties

The radius of a circle is

(2.0\pm0.1)

cm. Calculate the percentage uncertainty in its area.

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SA-9702-PQ3-0052 marksL2 StandardCalculatorAdding vectors

Two

5.0

N forces act from the same point with an angle of

60^\circ

between them. Calculate the magnitude of their resultant.

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SA-9702-PR1-0042 marksL2 StandardCalculatorPractical uncertainty

A wire's diameter is

0.50\pm0.01

mm. Calculate the percentage uncertainty in its cross-sectional area.

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SA-9702-PR2-0021 markL2 StandardCalculatorGraph work

A graph of

T^2

against

l

has gradient

4.03

s² m⁻¹. Using

T^2=\dfrac{4\pi^2}gl

, calculate

g

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