For each hook-up (figure c), determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.
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) × (× (1/3)³) × (× 5⁴)
= 2³ × 1/3³ × 5⁴
We know, 2³ = 8 and 5⁴ = 625
Also, 3³ = 27
= 8 × 1/27 × 625
= 5000/27
Therefore, there is no single repeater machine that will do the same work.
✦ Try This: For each hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12
NCERT Exemplar Class 8 Maths Chapter 8 Problem 160(c)
For each hook-up (figure c), determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.
Summary:
There is no single repeater machine that will do the same work as the given hook-up.
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