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QNEET-2013-Ph-1583: NEET 2013 Physics - Class 11 NEET-2013-Ph-1583 Solution: The radius of a planet is twice the radius of earth. Both have…
The radius of a planet is twice the radius of earth. Both have almost equal average mass densities. and are escape velocities of the planet and the earth respectively then
Multiple Choice Options
- A V P = 1.5 V E
- B V P = 2 V E
- C V E = 3 V P
- D V E = 1.5 V P
Step-by-Step Verified Solution
Here, R P = 2R E , _ E = _ P
Escape velocity of the earth,
V E = 2 G M E R E = 2 G R E ( 4 3 � R E 3 _ E )
= R E 8 3 � G _ E ...(i)
Escape velocity of the planet
V P = 2 G M P R P = 2 G R P ( 4 3 � R P 3 _ P )
= R P 8 3 � G _ P ...(ii)
Divide (i) by (ii), we get
V E V P = R E R P _ E _ P = R E 2 R E _ E _ E = 1 2
_ V P = 2 V E