Class 11th Overview Maths NCERT Exemplar Solutions Class 11th Chapter Eleven Physics Physics Gravitation

Two stars of masses m and 2m at a distance d rotate about their common centre of mass in free space. The

Option 1 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <mn>2</mn> <mi>π</mi> <mroot> <mrow> <mfrac> <mrow> <mn>3</mn> <mi>G</mi> <mi>m</mi> </mrow> <mrow> <msup> <mrow> <mi>d</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msup> </mrow> </mfrac> </mrow> <mrow></mrow> </mroot> </mrow> </math> </span></p>

Option 2 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <mfrac> <mrow> <mn>1</mn> </mrow> <mrow> <mn>2</mn> <mi>π</mi> </mrow> </mfrac> <mroot> <mrow> <mfrac> <mrow> <mn>3</mn> <mi>G</mi> <mi>m</mi> </mrow> <mrow> <msup> <mrow> <mi>d</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msup> </mrow> </mfrac> </mrow> <mrow></mrow> </mroot> </mrow> </math> </span></p>

Option 3 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <mn>2</mn> <mi>π</mi> <mroot> <mrow> <mfrac> <mrow> <msup> <mrow> <mi>d</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msup> </mrow> <mrow> <mn>3</mn> <mi>G</mi> <mi>m</mi> </mrow> </mfrac> </mrow> <mrow></mrow> </mroot> </mrow> </math> </span></p>

Option 4 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <mfrac> <mrow> <mn>1</mn> </mrow> <mrow> <mn>2</mn> <mi>π</mi> </mrow> </mfrac> <mroot> <mrow> <mfrac> <mrow> <msup> <mrow> <mi>d</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msup> </mrow> <mrow> <mn>3</mn> <mi>G</mi> <mi>m</mi> </mrow> </mfrac> </mrow> <mrow></mrow> </mroot> </mrow> </math> </span></p>

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Alok Kumar Singh | Contributor-Level 10

5 months ago

Correct Option - 2

Detailed Solution:

$m ω^{2} . \frac{2 d}{3} = \frac{G . m . 2 m}{d^{2}} \Rightarrow ω = \sqrt[]{\frac{3 G m}{d^{3}}}$

$T = \frac{2 π}{ω} = 2 π \sqrt[]{\frac{d^{3}}{3 G m}}$

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Maths NCERT Exemplar Solutions Class 11th Chapter Eleven 2025

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