A spherically uniform planet of mass 8 × 1024 kg and of radius 6 × 106 m is orbiting around the Sun. The escape velocity for the planet is close to (Take G = 6 × 10-11 N -m2 / kg2)

Question

A spherically uniform planet of mass 8 × 1024 kg and of radius 6 × 106 m is orbiting around the Sun. The escape velocity for the planet is close to (Take G = 6 × 10-11 N -m2 / kg2) (A) 11.2 km/s (B) 16 km/s (C) 4 km/s (D) 12.6 km/s

Tardigrade Admin · Accepted Answer

K Es+Us=K E∞+U∞ As, we know escape velocity of a planet of mass M and radius R is ve=√(2 G M/R) Given, M=8 × 1024 kg , R=6 × 106 m and G=6 × 10-11 Nm 2 kg -2 ve =√(2 × 6 × 10-11 × 8 × 1024/6 × 106) =√160 km / s =12.6 km / s

Q. A spherically uniform planet of mass $8 \times 1 0^{24} k g$ and of radius $6 \times 1 0^{6} m$ is orbiting around the Sun. The escape velocity for the planet is close to (Take $G = 6 \times 1 0^{- 11} N - m^{2} / k g^{2}$ )

11.2 km/s

16 km/s

4 km/s

12.6 km/s

1.6 km/s

Q. A spherically uniform planet of mass 8×1024kg and of radius 6×106m is orbiting around the Sun. The escape velocity for the planet is close to (Take G=6×10−11N−m2/kg2)