For each hook-up (figure d), 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 = (× 0.5²) × (× 0.5³)

= 0.5² × 0.5³

Using law of exponents,

a^m × aⁿ = a^{m + n}

= 0.5^{2 + 3}

= 0.5⁵

Therefore, (× 0.5⁵) is a 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(d)

For each hook-up (figure d), determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.

Summary:

(× 0.5⁵) is a single repeater machine that will do the same work as the given hook-up.

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