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Standard IX

Physics

Introduction to Gravitation : Kepler's Laws

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.
Figure

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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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Similar questions

Q. 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.
Figure

The following figure shows the elliptical path of a planet about the sun. The two shaded parts have equal areas. If $t_{1}$ , $t_{2}$ be the time taken by the planet to go from A to B and from C to D respectively.

Q. The following figure shows the elliptical path of a planet about the Sun. The two shaded parts,

S 1

and

S 2

, have equal areas. If

t_{1}

and

t_{2}

be the time taken by the planet to go from

A

B

and from

C

D

respectively, then:

Q. Figure shows the elliptical path of a planet about the sun. The two shaded parts have equal area. If

t_{1}

and

t_{2}

be the time taken by the planet to go from

a

b

and from

c

d

respectively.

Q. Figure shows the elliptical path of a planet around the sun. The two shaded parts have equal areas. If

t_{1}

and

t_{2}

be the time taken by the planet to go from

a

b

and from

c

d

respectively, then

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(b) t1 = t2Kepler'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

(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