What happens when 1 cm worms are sent through these hook-ups in figure(ii)?

Solution:

Given, 1 cm worms are sent through these hook ups

We have to find the length of the worm.

From the figure,

Machine 1, Input = 1 cm

Work done = 2⁻¹

Using the law of exponents,

a⁻ⁿ = 1/aⁿ

So, 2⁻¹ = 1/2

Output = 1 × 1/2

= 1/2 cm

Machine 2, Input = 1/2 cm

Work done = 2⁻²

Using the law of exponents,

a⁻ⁿ = 1/aⁿ

So, 2⁻² = 1/2²

Output = 1/2 × 1/4

= 1/8 cm

Therefore, 1 cm worms sent through these hook-ups become 1/8 cm in length.

✦ Try This: What happens when 1 cm worms are sent through these hook-ups?

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12

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NCERT Exemplar Class 8 Maths Chapter 8 Problem 155(ii)

What happens when 1 cm worms are sent through these hook-ups in figure(ii)?

Summary:

1 cm worms sent through these hook-ups become 1/8 cm in length using the law of exponents

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