Order Of Magnitude

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Earth's radius ≈ 6.37×10^6 m. Its order of magnitude is:

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$1 0^{6} m$

$1 0^{7} m$

$1 0^{5} m$

$1 0^{8} m$

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Subject: physics
Chapter: physics and measurement
Topic: order of magnitude
Difficulty: Medium
Year: 2025

Solution

Correct Answer:

$1 0^{7} m$

To find the order of magnitude of a number $x \cdot 1 0^{n}$ :

If $x \leq 10 \approx 3.16$ , the order of magnitude is $1 0^{n}$ .
If $x > 10 \approx 3.16$ , the order of magnitude is $1 0^{n + 1}$ . Here, $x = 6.37$ , which is greater than $3.16$ . Therefore, the order of magnitude is $1 0^{6 + 1} = 1 0^{7} m$ .

This medium difficulty physics question is from the chapter physics and measurement, covering the topic of order of magnitude. It appeared in the 2025 exam.

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Order Of Magnitude

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