The mass and radius of the sun are 1.99 × 1030 kg and R=6.96 × 10° m. The escape velocity of a rocket from the sun is

Question

The mass and radius of the sun are 1.99 × 1030 kg and R=6.96 × 10° m. The escape velocity of a rocket from the sun is (A)  11.2 km/s  (B)  2.38 km/s  (C)  59.5 km/s  (D)  618 km/s

Tardigrade Admin · Accepted Answer

The escape velocity is given by ve=√(2 G M/r) So, ve=√(2 × 6.67 × 10-11 × 1.99 × 1030/6.96 × 108) =617589.3 m / s or, ve=617.6 km / s

Q. The mass and radius of the sun are $1.99 \times 1 0^{30} k g$ and $R = 6.96 \times 1 0^{\circ} m$ . The escape velocity of a rocket from the sun is

$11.2 km / s$

$2.38 km / s$

$59.5 km / s$

$618 km / s$

The escape velocity is given by
$v_{e} = \frac{2 GM}{r}$
So, $v_{e} = \frac{2 \times 6.67 \times 1 0 ^{- 11} \times 1.99 \times 1 0 ^{30}}{6.96 \times 1 0 ^{8}}$
$= 617589.3 m / s$
or, $v_{e} = 617.6 km / s$

Q. The mass and radius of the sun are 1.99×1030kg and R=6.96×10∘m. The escape velocity of a rocket from the sun is

11.2km/s

2.38km/s

59.5km/s

618km/s