Find a single repeater machine that will do the same work as each hook-up in figure (a).
Solution:
Given, the figure represents the work done by each hook-up.
We have to find a single repeater machine.
A repeater machine is a hypothetical machine which automatically enlarges items several times.
We know that, when two machines are hooked up their stretching power is multiplied.
Stretching power = (×2²) × (×2³) × (×2⁴)
2² = 2 × 2
= 4
2³ = 2 × 2 × 2
= 4 × 2
= 8
2⁴ = 2 × 2 × 2 × 2
= 4 × 4
= 16
Stretching power = 4 × 8 × 16
= 32 × 16
= 512
We know, 512 = 2⁹
Therefore, (× 2⁹) does the same work as the given hook up.
✦ Try This: Find a single repeater machine that will do the same work as each hook-up.
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12
NCERT Exemplar Class 8 Maths Chapter 8 Problem 159(a)
Find a single repeater machine that will do the same work as each hook-up in figure (a).
Summary:
A single repeater machine that will do the same work as the given hook-up is (× 2⁹).
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