Find a single repeater machine that will do the same work as each hook-up in figure (f).

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 = (×(1/2)²) × (×(1/3)²)

= (1/2)² × (1/3)²

= 1/2² × 1/3²

= 1/4 ×1/9

= 1/36

We know, 36 = 6²

= 1/6²

= (1/6)²

Therefore, (× (1/6)²) does the same work as the given hook up.

✦ 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 159(f)

Find a single repeater machine that will do the same work as each hook-up in figure (f).

Summary:

A single repeater machine that will do the same work as the given hook-up is (× (1/6)²).

☛ Related Questions:

• For each hook-up (figure a), determine whether there is a single repeater machine that will do the s . . . .
• For each hook-up (figure b), determine whether there is a single repeater machine that will do the s . . . .
• For each hook-up (figure c), determine whether there is a single repeater machine that will do the s . . . .