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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 two machines hooked together do the same work a (× 102) machine does? Is there more than one arrangement of two machines that will work?
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उत्तर
For getting the same work a (× 102) machine does, we have to (× 22) and (× 52) machines hooked together.
∴ × 102 = × 100
Similarly, × 22 × 52 = × 4 × 25 = × 100
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संबंधित प्रश्न
Mass of earth is 5.97 × 1024 kg and the mass of the moon is 7.35 × 1022 kg. What is the total mass?
The diameter of the Sun is 1.4 × 109 m and the diameter of the Earth is 1.2756 × 107 m.
The table shows the mass of the planets, the sun and the moon in our solar system.
| Celestial Body |
Mass (kg) | Mass (kg) Standard Notation |
| Sun | 1,990,000,000,000,000,000,000,000,000,000 | 1.99 × 1030 |
| Mercury | 330,000,000,000,000,000,000,000 | |
| Venus | 4,870,000,000,000,000,000,000,000 | |
| Earth | 5,970,000,000,000,000,000,000,000 | |
| Mars | 642,000,000,000,000,000,000,000,000,000 | |
| Jupiter | 1,900,000,000,000,000,000,000,000,000 | |
| Saturn | 568,000,000,000,000,000,000,000,000 | |
| Uranus | 86,800,000,000,000,000,000,000,000 | |
| Neptune | 102,000,000,000,000,000,000,000,000 | |
| Pluto | 12,700,000,000,000,000,000,000 | |
| Moon | 73,500,000,000,000,000,000,000 |
- Write the mass of each planet and the Moon in scientific notation.
- Order the planets and the moon by mass, from least to greatest.
- Which planet has about the same mass as earth?
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.
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?
For the following repeater machines, how many times the base machine is applied and how much the total stretch is?
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?
Neha needs to stretch some sticks to 252 times their original lengths, but her (× 25) machine is broken. Find a hook-up of two repeater machines that will do the same work as a (× 252) machine. To get started, think about the hookup you could use to replace the (× 25) machine.
Find three machines that can be replaced with hook-ups of (× 5) machines.
