SATHEE: Gravitation Question 160

Gravitation Question 160

Question: The ratio of the radii of planets A and B is $[k_{1}]$ and ratio of acceleration due to gravity on them is $[k_{2}]$ . The ratio of escape velocities from them will be [BHU 2002]

Options:

A) $[k_{1} k_{2}]$

B) $[\sqrt{k_{1} k_{2}}]$

C) $[\sqrt{\frac{k_{1}}{k_{2}}}]$

D) $[\sqrt{\frac{k_{2}}{k_{1}}}]$

Show Answer

Answer:

Correct Answer: B

Solution:

$[v = \sqrt{2 g R}]$ Þ $[\frac{v_{A}}{v_{B}} = \sqrt{\frac{g_{A}}{g_{B}} \times \frac{R_{A}}{R_{B}}} = \sqrt{k_{1} \times k_{2}} = \sqrt{k_{1} k_{2}}]$

Gravitation Question 160

Question: The ratio of the radii of planets A and B is $[k_{1}]$ and ratio of acceleration due to gravity on them is $[k_{2}]$ . The ratio of escape velocities from them will be [BHU 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 160

Question: The ratio of the radii of planets A and B is [k1] and ratio of acceleration due to gravity on them is [k2] . The ratio of escape velocities from them will be [BHU 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: The ratio of the radii of planets A and B is $[k_{1}]$ and ratio of acceleration due to gravity on them is $[k_{2}]$ . The ratio of escape velocities from them will be [BHU 2002]