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PhysicsGravitationKepler's LawMedium2 minPYQ_2014
PhysicsMediumsingle choice

India's Mangalyan was sent to the Mars by launching it into a transfer orbit EOM around the sun. It leaves the earth at E and meets Mars at M. If the semi-major axis of Earth's orbit is a e = 1.5 × 1 0 1 1 m  , that of Mar's orbit a m = 2.28 × 1 0 1 1 m , taking Kepler's laws, give the estimate of time for Mangalyan to reach Mars from Earth.

Question diagram: India's Mangalyan was sent to the Mars by launching it

Options:

Answer:
C
Solution:

Semi major axis of mangalyan,

a Mn = a e + a m 2

= 1.89 × 1 0 1 1 m

From Kepler's law,

T 2 R 3

∴    T Mn Te 2 = R M R e 3

∴   TMn518 days

Required time = 5 1 8 2 = 2 6 0  days .

Stream:JEESubject:PhysicsTopic:GravitationSubtopic:Kepler's Law
2mℹ️ Source: PYQ_2014

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