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The speed of light in vacuum is 3 × 10⁸ m/s. Sunlight takes about 8 minutes to reach the earth. Express distance of Sun from Earth in standard form

Solution:

Given, the speed of light in vacuum is 3 × 10⁸ m/s.

Sunlight takes about 8 minutes to reach the earth.

We have to find the distance of the Sun from Earth in standard form.

We know, speed = distance / time

Given, speed = 3 × 10⁸ m/s.

Time = 8 minutes

We know, 1 minute = 60 seconds

So, 8 minutes = 8 × 60 = 480 seconds

Now, 3 × 10⁸ = distance / 480

Distance = 480(3 × 10⁸)

= 48 × 10 × 3 × 10⁸

= 144 × 10 × 10⁸

= 1.44 × 10³ × 10⁸

Considering 10³ × 10⁸,

For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n,

a^m × aⁿ = a^{m + n}

Here, a = 10, m = 3 and n = 8

m + n = 3 + 8

= 11

10³ × 10⁸ = 10¹¹

So, distance = 1.44 × 10¹¹

Therefore, the distance in standard form is 1.44 × 10¹¹.

✦ Try This: The distance between the Sun and the Earth is 1.496 x 10⁸ km and distance between the Earth and the Moon is 3.84 x 10⁸ m. During a solar eclipse, the Moon comes in between the Earth and the Sun. What is the distance between the Moon and the Sun at that particular time

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 13

NCERT Exemplar Class 7 Maths Chapter 11 Problem 83

The speed of light in vacuum is 3 × 10⁸ m/s. Sunlight takes about 8 minutes to reach the earth. Express distance of Sun from Earth in standard form

Summary:

The speed of light in vacuum is 3 × 10⁸ m/s. Sunlight takes about 8 minutes to reach the earth. The distance of the Sun from Earth in standard form is 1.44 × 10¹¹.

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