JEE Main 202313 AprilEvening Shift
- Exam
- JEE Main
- Year
- 2023
- Date
- 13 April
- Shift
- Evening Shift
- Subject
- Physics
- Chapter
- Gravitation
JEE Main 2023 · 13 April · Evening Shift · Physics · Gravitation
Given below are two statements: Statement I : For a planet, if the...
Given below are two statements:
Statement I : For a planet, if the ratio of mass of the planet to its radius increase, the escape velocity from the planet also increase.
Statement II : Escape velocity is independent of the radius of the planet.
In the light of above statements, choose the most appropriate answer from the options given below
Options
- AStatement I is incorrect but Statement II is correct
- BStatement I is correct but statement II is incorrect
- CBoth Statement I and Statement II are incorrect
- DBoth Statement I and Statement II are correct
Correct answer
B. Statement I is correct but statement II is incorrect
Step-by-step solution
The escape velocity is given by the formula
Clearly, the escape velocity depends on the mass and radius of the planet. Hence, if the ratio increases the escape velocity also increases.
So, Statement I is correct while statement II is wrong.