The mass of the Jupiter is $1.9 \times 10^{27}$ kg and that of the sun is $1.99 \times 10^{38}$ kg. The mean distance of the Jupiter from the sun is $7.8 \times 10^{11}$ m. Speed of the Jupiter is (assuming that Jupiter moves in the circular orbit around the sun).

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Answer 1

Jupiter mass $M_{j} = 1.9 \times 1 0^{27}$
Sun mass $M_{s} = 1.99 \times 1 0^{38}$
distance $r = 7.8 \times 1 0^{11}$ all in $S I$ system of units

the centripetal force $(M_{j} v^{2} / r)$ for revolution will be provided by the gravitational attraction $G M_{j} M_{s} / r^{2}$

so equating both we get $M_{j} v^{2} / r = G M_{j} M_{s} / r^{2}$ which give us $v = 2 \frac{G M _{s}}{r}$
after putting $G = 6.67 \times 1 0^{- 11} N m^{2} / (K g)^{2}$ and other values
we get $v = 1.3 \times 1 0^{8} m / s$
Option C is correct.

Answer 2

Jupiter mass

M_{j} = 1.9 \times 1 0^{27}

Sun mass

M_{s} = 1.99 \times 1 0^{38}

distance

r = 7.8 \times 1 0^{11}

all in

S I

system of units

the centripetal force

(M_{j} v^{2} / r)

for revolution will be provided by the gravitational attraction

G M_{j} M_{s} / r^{2}

so equating both we get

M_{j} v^{2} / r = G M_{j} M_{s} / r^{2}

which give us

v = 2 \frac{G M _{s}}{r}

after putting

G = 6.67 \times 1 0^{- 11} N m^{2} / (K g)^{2}

and other values

we get

v = 1.3 \times 1 0^{8} m / s

Option C is correct.

The mass of the Jupiter is $1.9 \times 10^{27}$ kg and that of the sun is $1.99 \times 10^{38}$ kg. The mean distance of the Jupiter from the sun is $7.8 \times 10^{11}$ m. Speed of the Jupiter is (assuming that Jupiter moves in the circular orbit around the sun).

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$1.304 \times 10^{8}$ m/sec

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The mass of the Jupiter is $1.9 \times 10^{27}$ kg and that of the sun is $1.99 \times 10^{38}$ kg. The mean distance of the Jupiter from the sun is $7.8 \times 10^{11}$ m. Speed of the Jupiter is (assuming that Jupiter moves in the circular orbit around the sun).

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A planet of mass $m$ is revolving around sun of mass $M$ in an elliptical path whose eccentricity is $e$ . The lengths of semi major and semi minor axes are $a$ and $b$ respectively. The total energy of the planet is

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