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Byju's Answer

Standard XII

Physics

Potential Energy

Figure 11-Q2 ...

Question

Figure (11-Q2) shows the elliptical path of a planet about the sun. The two shaded parts have equal area. If t₁ and t₂ be the time taken by the planet to go from a to b and from c to d respectively,
(a) t₁ < t₂
(b) t₁ = t₂
(c) t₁ > t₂
(d) insufficient information to deduce the relation between t₁ and t₂.
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Solution

(b) t₁ = t₂

Kepler's second law states that the line joining a planet to the Sun sweeps out equal areas in equal intervals of time, i.e., areal velocity of a planet about the Sun is constant.

The given areas swept by the planet are equal, so t₁ = t₂

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(b) t1 = t2 Kepler's second law states that the line joining a planet to the Sun sweeps out equal areas in equal intervals of time, i.e., areal velocity of a planet about the Sun is constant. The given areas swept by the planet are equal, so t1 = t2

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The given areas swept by the planet are equal, so t₁ = t₂