{"id":88473,"date":"2025-06-01T07:11:53","date_gmt":"2025-06-01T07:11:53","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=88473"},"modified":"2025-06-01T07:11:53","modified_gmt":"2025-06-01T07:11:53","slug":"a-planet-has-a-mass-m%e2%82%81-and-radius-r%e2%82%81-the-value-of-acceleration-due-to","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-planet-has-a-mass-m%e2%82%81-and-radius-r%e2%82%81-the-value-of-acceleration-due-to\/","title":{"rendered":"A planet has a mass M\u2081 and radius R\u2081. The value of acceleration due to"},"content":{"rendered":"

A planet has a mass M\u2081 and radius R\u2081. The value of acceleration due to gravity on its surface is g\u2081. There is another planet 2, whose mass and radius both are two times that of the first planet. Which one of the following is the acceleration due to gravity on the surface of planet 2?<\/p>\n

[amp_mcq option1=”g\u2081” option2=”2g\u2081” option3=”g\u2081\/2″ option4=”g\u2081\/4″ correct=”option3″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC NDA-2 – 2018<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe acceleration due to gravity on the surface of planet 2 is g\u2081\/2.
\n<\/section>\n
\nThe acceleration due to gravity (g) on the surface of a planet is given by the formula g = GM\/R\u00b2, where G is the gravitational constant, M is the mass of the planet, and R is its radius.
\n<\/section>\n
\nFor planet 1, the acceleration due to gravity on its surface is g\u2081 = GM\u2081\/R\u2081\u00b2.
\nFor planet 2, the mass M\u2082 = 2M\u2081 and the radius R\u2082 = 2R\u2081.
\nWe can calculate the acceleration due to gravity on planet 2’s surface (g\u2082) using the same formula:
\ng\u2082 = G * M\u2082 \/ R\u2082\u00b2
\nSubstitute the values for M\u2082 and R\u2082 in terms of M\u2081 and R\u2081:
\ng\u2082 = G * (2M\u2081) \/ (2R\u2081)\u00b2
\ng\u2082 = G * (2M\u2081) \/ (4R\u2081\u00b2)
\ng\u2082 = (2\/4) * (GM\u2081\/R\u2081\u00b2)
\ng\u2082 = (1\/2) * (GM\u2081\/R\u2081\u00b2)
\nSince g\u2081 = GM\u2081\/R\u2081\u00b2, we have g\u2082 = g\u2081\/2.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

A planet has a mass M\u2081 and radius R\u2081. The value of acceleration due to gravity on its surface is g\u2081. There is another planet 2, whose mass and radius both are two times that of the first planet. Which one of the following is the acceleration due to gravity on the surface of planet … <\/p>\n

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