Advertisements
Advertisements
प्रश्न
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?
Advertisements
उत्तर
a. Mass of each planet and Moon in scientific notation is given below:
Using law of exponents,
am × an = am + n
Sun = 199 × 1028
= 1.99 × 1028 × 102
= 1.99 × 1030
Mercury = 33 × 1022
= 3.3 × 1022 × 10
= 3.3 × 1023
Venus = 487 × 1022
= 4.87 × 1022 × 102
= 4.87 × 1024
Earth = 597 × 1022
= 5.97 × 1022 × 102
= 5.97 × 1024
Mars = 642 × 1027
= 6.42 × 1027 × 102
= 6.42 × 1029
Jupiter = 19 × 1026
= 1.9 × 1026 × 10
= 1.9 × 1027
Saturn = 568 × 1024
= 5.68 × 1024 × 102
= 5.68 × 1026
Uranus = 868 × 1023
= 8.68 × 1023 × 102
= 8.68 × 1025
Neptune = 102 × 1024
= 1.02 × 1024 × 102
= 1.02 × 1026
Pluto = 127 × 1020
= 1.27 × 1020 × 102
= 1.27 × 1022
Moon = 795 × 1020
= 7.95 × 1020 × 102
= 7.95 × 1022
b. Order of mass of all planets and Moon from least to greatest
Pluto < Moon < Mercury < Venus < Earth < Uranus < Neptune < Saturn < Jupiter < Mars
c. Venus has about the same mass as Earth.
APPEARS IN
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 table shows the average distance from each planet in our solar system to the sun.
| Planet | Distance from Sun (km) |
Distance from Sun (km) Standard Notation |
| Earth | 149,600,000 | 1.496 × 108 |
| Jupiter | 778,300,000 | |
| Mars | 227,900,000 | |
| Mercury | 57,900,000 | |
| Neptune | 4,497,000,000 | |
| Pluto | 5,900,000,000 | |
| Saturn | 1,427,000,000 | |
| Uranus | 2,870,000,000 | |
| Venus | 108,200,000 |
- Complete the table by expressing the distance from each planet to the Sun in scientific notation.
- Order the planets from closest to the sun to farthest from the sun.
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?
Find three repeater machines that will do the same work as a (× 64) machine. Draw them, or describe them using exponents.
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 distance between the Sun and the Earth is 1.496 × 108 km and distance between the Earth and the Moon is 3.84 × 108 m. During solar eclipse the Moon comes in between the Earth and the Sun. What is distance between the Moon and the Sun at that particular time?
