SATHEE: Gravitation Question 161

Gravitation Question 161

Question: A mass of $[6 \times 10^{24} k g]$ is to be compressed in a sphere in such a way that the escape velocity from the sphere is $[3 \times 10^{8} m, / s]$ . Radius of the sphere should be $[(G = 6.67 \times 10^{- 11} N - m^{2} / k g^{2})]$ [UPSEAT 2002]

Options:

A) 9 km

B) 9 m

C) 9 cm

D) 9 mm

Show Answer

Answer:

Correct Answer: D

Solution:

$[v_{e} = \sqrt{\frac{2 G M}{R}} = \sqrt{\frac{2 \times 6.67 \times 10^{- 11} \times 6 \times 10^{24}}{R}}]$ $[= 3 \times 10^{8}]$ By solving $[R = 9,, m m]$

Gravitation Question 161

Question: A mass of $[6 \times 10^{24} k g]$ is to be compressed in a sphere in such a way that the escape velocity from the sphere is $[3 \times 10^{8} m, / s]$ . Radius of the sphere should be $[(G = 6.67 \times 10^{- 11} N - m^{2} / k g^{2})]$ [UPSEAT 2002]

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Gravitation Question 161

Question: A mass of [6×1024kg] is to be compressed in a sphere in such a way that the escape velocity from the sphere is [3×108m,/s] . Radius of the sphere should be [(G=6.67×10−11N−m2/kg2)] [UPSEAT 2002]

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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Question: A mass of $[6 \times 10^{24} k g]$ is to be compressed in a sphere in such a way that the escape velocity from the sphere is $[3 \times 10^{8} m, / s]$ . Radius of the sphere should be $[(G = 6.67 \times 10^{- 11} N - m^{2} / k g^{2})]$ [UPSEAT 2002]