Practise questions | Salam Academy

SA-9702-IG2-0022 marksL2 StandardCalculatorMolecular kinetic energy

An oxygen molecule has mass

5.3\times10^{-26}

kg. Calculate its r.m.s. speed at

300

K. (

k=1.38\times10^{-23}

J K⁻¹)

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SA-9702-IG2-0051 markL2 StandardCalculatorKinetic model

Calculate the r.m.s. value of the speeds

200

,

400

and

600

m s⁻¹.

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SA-9702-KN1-0032 marksL2 StandardCalculatorSUVAT

A car slows uniformly from

25

m s⁻¹ to rest in a distance of

50

m. Calculate the magnitude of its deceleration.

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SA-9702-KN1-0042 marksL2 StandardCalculatorSUVAT

A stone is dropped from rest from a height of

20

m. Ignoring air resistance, calculate its speed on reaching the ground. (

g=9.81

m s⁻²)

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SA-9702-KN1-0052 marksL2 StandardCalculatorSUVAT

Calculate the time the stone takes to fall the

20

m from rest.

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SA-9702-MF1-0022 marksL2 StandardCalculatorThe tesla

A wire with

4.0

cm in a magnetic field carries

2.5

A at right angles to it. A balance shows the force is equivalent to

1.2

g. Calculate

B

. (

g=9.81

m s⁻²)

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SA-9702-MF1-0031 markL2 StandardCalculatorF = BIL sin θ

A wire

0.40

m long carrying

5.0

A makes an angle of

30°

with a

0.15

T field. Calculate the force on it.

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SA-9702-MF2-0022 marksL2 StandardCalculatorCharges in B fields

Calculate the radius of the electron's path in the previous question, in cm. (

m_e=9.11\times10^{-31}

kg)

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SA-9702-MF2-0051 markL2 StandardCalculatorCharges in B fields

A proton and an electron enter the same magnetic field at the same speed, perpendicular to it. Compared with the electron's path, the proton's path

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SA-9702-MF3-0022 marksL2 StandardCalculatorForces between wires

Wire 1 produces a field of

4.0\times10^{-5}

T at wire 2, which carries

5.0

A perpendicular to that field. Calculate the force on a

2.0

m length of wire 2, in units of

10^{-4}

N.

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SA-9702-MF4-0012 marksL2 StandardCalculatorFaraday and Lenz

A

200

-turn coil of area

4.0\times10^{-3}

m² is perpendicular to a

0.50

T field. It is pulled completely out of the field in

0.10

s. Calculate the average induced e.m.f.

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SA-9702-MP1-0022 marksL2 StandardCalculatorAcoustic impedance

Fat has

Z=1.38\times10^6

and muscle has

Z=1.71\times10^6

kg m⁻² s⁻¹. Calculate the percentage of ultrasound intensity reflected at a fat–muscle boundary.

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SA-9702-MP2-0012 marksL2 StandardCalculatorX-ray production

Calculate the minimum wavelength of X-rays from a tube operating at

30

kV, in units of

10^{-11}

m. (

h=6.63\times10^{-34}

J s;

c=3.00\times10^8

m s⁻¹;

e=1.60\times10^{-19}

C)

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SA-9702-MP2-0022 marksL2 StandardCalculatorAttenuation and CT

Bone has an attenuation coefficient of

300

m⁻¹. Calculate the percentage of X-ray intensity transmitted through

1.0

cm of bone.

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SA-9702-MP3-0012 marksL2 StandardCalculatorAnnihilation

An electron and a positron at rest annihilate. Calculate the energy of each photon produced, in units of

10^{-14}

J. (

m_e=9.11\times10^{-31}

kg;

c=3.00\times10^8

m s⁻¹)

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SA-9702-MP3-0021 markL2 StandardCalculatorAnnihilation

Calculate the wavelength of a

8.2\times10^{-14}

J annihilation photon, in units of

10^{-12}

m. (

h=6.63\times10^{-34}

J s;

c=3.00\times10^8

m s⁻¹)

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SA-9702-MP3-0052 marksL2 StandardCalculatorAnnihilation

Photons from an annihilation arrive at opposite detectors with a time difference of

0.40

ns. Calculate how far from the midpoint between the detectors the event occurred, in cm.

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SA-9702-NP1-0012 marksL2 StandardCalculatorMass defect

A helium-4 nucleus has mass

4.00151

u. A proton has mass

1.00728

u and a neutron

1.00867

u. Calculate the mass defect, in u.

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SA-9702-NP1-0021 markL2 StandardCalculatorMass defect

Using a mass defect of

0.03039

u for helium-4, calculate the binding energy per nucleon, in MeV. (

1

u

=931.5

MeV)

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SA-9702-NP2-0032 marksL2 StandardCalculatorHalf-life

A sample has a half-life of

6.0

hours. Calculate the percentage remaining after

20

hours.

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