हिंदी

For the following repeater machines, how many times the base machine is applied and how much the total stretch is?

Advertisements
Advertisements

प्रश्न

For the following repeater machines, how many times the base machine is applied and how much the total stretch is?

योग
Advertisements

उत्तर

In machine (a), (× 1002) = 10000 stretch.

Since, it is two times the base machine.

In machine (b), (× 75) = 16807 stretch.

Since, it is fair times the base machine.

In machine (c), (× 57) = 78125 stretch.

Since, it is 7 times the base machine.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 8: Exponents and Powers - Exercise [पृष्ठ २६६]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 8
अध्याय 8 Exponents and Powers
Exercise | Q 150. | पृष्ठ २६६

वीडियो ट्यूटोरियलVIEW ALL [1]

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
  1. Which is the heaviest element?
  2. Which element is lighter, Silver or Titanium?
  3. 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?


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?


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?


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 two repeater machines that will do the same work as a (× 81) machine.


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?


A particular star is at a distance of about 8.1 × 1013 km from the Earth. Assuring that light travels at 3 × 108 m per second, find how long does light takes from that star to reach the Earth.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×