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The ratio of escape velocity of a planet to the escape velocity of earth will be (Given: mass of the planet is 16 times mass of earth and radius of the planet is 4 times the radius of earth)

Asked in JEE Main 12th April 1st Shift 2023 · Comparing planets

• (1) 1 : √2
• (2) 1 : 4
• (3) 4 : 1
• (4) 2 : 1

Step-by-step solution

Why the other options are wrong

• (1) No combination of 16 and 4 under the square root gives this; it also puts the planet below the earth when its field is stronger.
• (2) This is 1/R scaling alone, with the sixteenfold mass left out.
• (3) Uses M/R=(16)/4 but forgets to take the square root at the end.

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