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Planet X is at a distance of $9.35 × 106 km$ from Jupiter and planet Y is $6.27 × 107 km$ from Jupiter, then planet ____ is nearer to Jupiter.

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Detailed Solution

Planet X is at a distance of

9.35 × 106 km

from Jupiter and planet Y is

6.27 × 107 km

from Jupiter, then planet X is nearer to Jupiter.
It is given that planet X is at a distance of

9.35 × 106 km

from Jupiter and planet Y is

6.27 × 107 km

from Jupiter.
The distance between planet X and Jupiter

= 9.35 × 106 km . .... (1)

Apply

a m × a n = a m + n

in equation (1) we get,

9.35 × 106 km = 9.35 × 1010 × 106 km ⇒ 9.35 × 106 km = 0.935 × 107 km ... (2)

Therefore the distance between planet X and Jupiter

= 0.935 × 107 km .

The distance between planet Y and Jupiter

= 6.27 × 107 km

It is clear that

6.27 × 107

km is greater than

0.935 × 107 km .

Hence, planet X is nearer to Jupiter.

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