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Standard IX

Physics

Introduction to Gravitation : Kepler's Laws

Figure shows ...

Question

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 $a$ to $b$ and from $c$ to $d$ respectively.

t_{1} < t_{2}

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t_{1} = t_{2}

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t_{1} > t_{2}

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Insufficient information to deduce the relation between

t_{1}

and

t_{2}

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Solution

The correct option is B $t_{1} = t_{2}$
From the Kepler's Laws: Laws of Areas- The line that joins any planet to the sun sweeps equal areas in equal intervals of time.
$∴$ $t_{1} = t_{2}$

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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,
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(d) insufficient information to deduce the relation between t₁ and t₂.
Figure

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Figure 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.

The correct option is B t1=t2From the Kepler's Laws: Laws of Areas- The line that joins any planet to the sun sweeps equal areas in equal intervals of time. ∴ t1=t2

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 $a$ to $b$ and from $c$ to $d$ respectively.

The correct option is B $t_{1} = t_{2}$
From the Kepler's Laws: Laws of Areas- The line that joins any planet to the sun sweeps equal areas in equal intervals of time.
$∴$ $t_{1} = t_{2}$