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Astrophysics and cosmology

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Question 14

A pulsar is a rapidly rotating neutron star that emits radio waves.

a.

Describe the formation of a neutron star from a massive star.

[2]
b.

State one characteristic property of a neutron star.

[1]
c.

A typical neutron star can be modelled as a sphere with mass M≈1.5×1030 kgM \approx 1.5 \times 10^{30}\,\text{kg}M≈1.5×1030kg and radius R≈12 kmR \approx 12\,\text{km}R≈12km.

Show that the average density of this neutron star is similar to the average density of an atomic nucleus.

  • radius of a nucleon ≈1.2 fm\approx 1.2\,\text{fm}≈1.2fm
  • mass of a nucleon ≈1.67×10−27 kg\approx 1.67 \times 10^{-27}\,\text{kg}≈1.67×10−27kg
[3]
d.

An astronomer uses a radio telescope to observe a pulsar.

During one full rotation of the pulsar, the telescope receives a single radio pulse. This pulse is modelled as a symmetric triangular peak of power against time. The power rises linearly from 0 W0\,\text{W}0W at t=0t = 0t=0 to a peak of 6.0×10−22 W6.0 \times 10^{-22}\,\text{W}6.0×10−22W at t=4.0 mst = 4.0\,\text{ms}t=4.0ms, and then falls linearly back to 0 W0\,\text{W}0W at t=8.0 mst = 8.0\,\text{ms}t=8.0ms.

Calculate the total energy received by the telescope during one full rotation of the pulsar.

[2]
e.

The collecting surface area of the telescope is 4000 m24000\,\text{m}^24000m2. The distance to the pulsar is 400 pc400\,\text{pc}400pc.

By assuming that the radio emission from the pulsar is emitted equally in all directions, estimate the total radio energy emitted by the pulsar during one full rotation. (Use 1 pc≈3.1×1016 m1\,\text{pc} \approx 3.1 \times 10^{16}\,\text{m}1pc≈3.1×1016m)

[4]
Markscheme

Astrophysics and cosmology Questions

  1. A Level
  2. /Physics
  3. /Astrophysics and cosmology

66 exam-style questions on OCR A A Level Physics Astrophysics and cosmology, covering Stars, Electromagnetic radiation from stars, and Cosmology. Each one has a worked solution and a mark scheme showing where the marks go.

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