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By how many times the Sun’s diameter is greater than the Earth’s diameter if the diameter of the Earth is $1.2756 × 107 m$ and the diameter of the Sun is $1.4 × 109 m$ ?

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100 times

105 times

107 times

110 times

answer is D.

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Detailed Solution

Given, the diameter of the Earth is

1.2756 × 107 m

and the diameter of the Sun is

1.4 × 109 m

.
From the given data, we have,
Diameter of sun

= 1.4 × 109 m .

Diameter of earth

= 1.2756 × 107 m .

= 1.2756 × 100100 × 107 m .

= 0.012756 × 102 × 107 m .

= 0.012756 × 109 m .

Therefore we have,

Diameter of sun Diameter of earth = 1.4 × 109 0.012756 × 109

⇒ Diameter of sun Diameter of earth = 1.4 0.012756

⇒ Diameter of sun Diameter of earth = 14000000127560

⇒ Diameter of sun Diameter of earth = 140000012756

⇒ Diameter of sun Diameter of earth = 109.75 (approx 110)

Hence, the diameter of the Sun is greater than the diameter of the Earth by 110 times.
Hence option (4) is correct.

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