JEE Main 2026 — Gravitation Question with Solution
JEE Main 2026 (02 April Shift 2)
Question
If a body of mass kg falls on the earth from infinity, it attains velocity and kinetic energy on reaching the surface of earth. The values of and respectively are _______. (Take radius of earth to be km and m/s)
Choose an option
Show full solutionCorrect option: A
Correct answer
A km/s; J
Step-by-step explanation
By conservation of mechanical energy, the total energy of the body at infinity is zero.
When the body reaches the surface of the earth, its potential energy is and kinetic energy is .
Substituting kg, m/s, and m:
J
The velocity is given by .
m/s km/s
Answer: km/s; J
When the body reaches the surface of the earth, its potential energy is and kinetic energy is .
Substituting kg, m/s, and m:
J
The velocity is given by .
m/s km/s
Answer: km/s; J
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