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प्रश्न
Two machines can be hooked together. When something is sent through this hook up, the output from the first machine becomes the input for the second. Which stretching machine does the same work as two (× 2) machines hooked together?
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उत्तर
If two machines (× 2) and (× 2) are hooked together to produce × 4 then a (× 4) single machine produce the same work.
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संबंधित प्रश्न
This table shows the mass of one atom for five chemical elements. Use it to answer the question given.
| Element | Mass of atom (kg) |
| Titanium | 7.95 × 10–26 |
| Lead | 3.44 × 10–25 |
| Silver | 1.79 × 10–25 |
| Lithium | 1.15 × 10–26 |
| Hydrogen | 1.674 × 10–27 |
- Which is the heaviest element?
- Which element is lighter, Silver or Titanium?
- List all five elements in order from lightest to heaviest.
Suppose you have a stretching machine which could stretch almost anything. For example, if you put a 5 metre stick into a (× 4) stretching machine (as shown below), you get a 20 metre stick. Now if you put 10 cm carrot into a (× 4) machine, how long will it be when it comes out?
Two machines can be hooked together. When something is sent through this hook up, the output from the first machine becomes the input for the second. Which two machines hooked together do the same work a (× 102) machine does? Is there more than one arrangement of two machines that will work?
Similarly, repeater machine is a hypothetical machine which automatically enlarges items several times. For example, sending a piece of wire through a (× 24) machine is the same as putting it through a (× 2) machine four times. So, if you send a 3 cm piece of wire through a (× 24) machine, its length becomes 3 × 2 × 2 × 2 × 2 = 48 cm. It can also be written that a base (2) machine is being applied 4 times.
What will be the new length of a 4 cm strip inserted in the machine?
What will the following machine do to a 2 cm long piece of chalk?
In a shrinking machine, a piece of stick is compressed to reduce its length. If 9 cm long sandwich is put into the shrinking machine below, how many cm long will it be when it emerges?
Ajay had a 1 cm piece of gum. He put it through repeater machine given below and it came out `1/(100,000)` cm long. What is the missing value?
Shikha has an order from a golf course designer to put palm trees through a (× 23) machine and then through a (× 33) machine. She thinks she can do the job with a single repeater machine. What single repeater machine should she use?
Find three machines that can be replaced with hook-ups of (× 5) machines.
The left column of the chart lists the lengths of input pieces of ribbon. Stretching machines are listed across the top. The other entries are the outputs for sending the input ribbon from that row through the machine from that column. Copy and complete the chart.
| Input Length | Machine | |||
| × 2 | ||||
| 1 | 5 | |||
| 3 | 15 | |||
| 14 | 7 | |||
