Question

The Earth’s radius is 6371 km. The order of magnitude of the Earth’s radius is
(A) 10³ m (B) 10⁹ m
(C) 10⁷ m (D) 10² m

Answer 1

order of magnitude :- it is used scientific notation. if any number X in such a way that X = m × 10^n , where m belongs to $\left[\frac{\sqrt{10}}{10},\sqrt{10}\right]$ then, 10ⁿ is known as order of magnitude.

here given, earth's radius 6371 km
it can be written as 6371000m
so, 6371 km = 6371000m

now, 6371000m = 0.6371 × 10^7 m
here you can see √10/10 ≤ 0.6371 ≤ √10
so, 10^7m is the order of magnitude.

hence, option (C) is correct.

Answer 2

Answer:

option (C) is correct.

Explanation:

now, 6371000m = 0.6371 × 10^7 m

here you can see √10/10 ≤ 0.6371 ≤ √10

so, 10^7m is the order of magnitude.

hence, option (C) is correct.