Department of Pre-University Education, Karnataka course PUC Karnataka Science Class 12
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# A Neutron Star Has a Density Equal to that of the Nuclear Matter. Assuming the Star to Be Spherical, Find the Radius of a Neutron Star Whose - Physics

ConceptMass-energy and Nuclear Binding Energy Mass - Energy

#### Question

A neutron star has a density equal to that of the nuclear matter. Assuming the star to be spherical, find the radius of a neutron star whose mass is 4.0 × 1030 kg (twice the mass of the sun).

#### Solution

Given:
Mass of the neutron star, M = 4.0 × 1030 kg
Density of nucleus ,  d = 2.4 xx 10^17

Density of nucleus, d= M/V

Here, V is the volume of the nucleus.

therefore V = M/d = (4 xx 10^30)/(2.4 xx 10^17)

= 1/0.6 xx 10^13

= 1/6 xx 10^14

If R is the radius, then the volume of the neutron star is given by

V = 4/3piR^3

therefore 1/6 xx 10^14 = 4/3 xx pi xx R^3

⇒ R^3 = 1/6 xx 3/4 xx 1/pi xx 10^14

⇒ R^3 = 1/8 xx 100/pi xx 10^12

therefore R = 1/2 xx 10^4 xx 3.17

= 1.585 xx 10^4 = 15  "km"

Is there an error in this question or solution?

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Solution A Neutron Star Has a Density Equal to that of the Nuclear Matter. Assuming the Star to Be Spherical, Find the Radius of a Neutron Star Whose Concept: Mass-energy and Nuclear Binding Energy - Mass - Energy.
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