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A planet in a distant solar system is 10 times more massive th

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A planet in a distant solar system is 10 times more massive than the earth and its radius is 10 times smaller. Given that the escape velocity from the earth is $11 kms^{- 1}$ , the escape velocity from the surface of the planet would be (a) $1.1 kms^{- 1}$ (b) $11 kms^{- 1}$ (c) $110 kms^{- 1}$ (d) $0.11 kms^{- 1}$

Views: 6,313 students

Updated on: Apr 14, 2023

Book:

Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Exam:

JEE Mains 2008

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Sebastian Discussed

A planet in a distant solar system is 10 times more massive than the earth and its radius is 10 times smaller. Given that the escape velocity from the earth is

11 kms^{- 1}

, the escape velocity from the surface of the planet would be (a)

1.1 kms^{- 1}

(b)

11 kms^{- 1}

(c)

110 kms^{- 1}

(d)

0.11 kms^{- 1}

15 mins ago

Discuss this question LIVE

15 mins ago

Text solutionVerified

Exp. (c)
Mass of planet,

M_{p} = 10 M_{e}

, where

M_{e}

is mass of earth. Radius of planet,

R_{p} = \frac{R _{e}}{10}

, where

R_{e}

is radius of earth.
Escape velocity is given by,

v_{e} = \frac{2 GM}{R}

For planet,

v_{p} = \frac{2 G \times M _{p}}{R _{p}} = \frac{100 \times 2 G M _{e}}{R _{e}}

= 10 \times v_{e} = 10 \times 11 = 110 kms^{- 1}

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Question Text	A planet in a distant solar system is 10 times more massive than the earth and its radius is 10 times smaller. Given that the escape velocity from the earth is $11 kms^{- 1}$ , the escape velocity from the surface of the planet would be (a) $1.1 kms^{- 1}$ (b) $11 kms^{- 1}$ (c) $110 kms^{- 1}$ (d) $0.11 kms^{- 1}$
Updated On	Apr 14, 2023
Topic	Gravitation
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 4
Upvotes	297
Avg. Video Duration	7 min

Text solutionVerified

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A planet in a distant solar system is 10 times more massive than the earth and its radius is 10 times smaller. Given that the escape velocity from the earth is 11kms−1, the escape velocity from the surface of the planet would be (a) 1.1kms−1 (b) 11kms−1 (c) 110kms−1 (d) 0.11kms−1

Text solutionVerified

Filo tutor solutions (4)

Questions from JEE Mains 2008 - PYQs

Practice questions from Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

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