If the height of the tower used for L.D.S is increased by 21% then percentage change in range is?
- 10%
- 21%
- 19%
- 42%
The Correct Option is A
Approach Solution - 1
Range ∝ \(\sqrt{Height}\)
This means that the range of the L.D.S. is directly proportional to the square root of the height of the tower.
If the height of the tower is increased by 21%, then the new height is:
New Height = Old Height + 0.21 x Old Height = 1.21 x Old Height
So the percentage change in height is 21%.
Now, using the formula above, we can write:
New Range ∝ \(\sqrt{New Height}\)
New Range ∝ \(\sqrt{1.21 x Old Height}\)
New Range ∝ \(\sqrt{1.21} x \sqrt{Old Height}\)
New Range ∝ 1.1 x \(\sqrt{Old Height}\)
Therefore, the new range is 1.1 times the square root of the old range, which is an increase of:
Percentage change in range = (New Range - Old Range) / Old Range x 100%
Percentage change in range = [(1.1 x \(\sqrt{Old Height}\)) - \(\sqrt{Old Height}\)] / \(\sqrt{Old Height}\) x 100%
Percentage change in range = (0.1 / \(\sqrt{Old Height}\)) x 100%
Substituting the value of the percentage change in height, we get:
Percentage change in range = (\(\frac{0.1}{\sqrt{Old Height}}\)) x 100% = (\(\frac{0.1}{\sqrt{\frac{1}{1.21}}}\)) x 100%
Percentage change in range = 10%
Therefore, the percentage change in range is 10%.
Answer. A
Approach Solution -2
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Communication Systems
A system that describes the information exchange between two points is called the communication system. The transmission and reception process of information is called communication. The major elements of communication are such as:
- The Transmitter of information
- Channel or medium of communication
- The Receiver of information
Examples Of Communication Systems:
The following are the examples of communication systems:
- Internet
- Public Switched Telephone network
- Intranet and Extranet
- Television
Types Of Communication Systems:
Turning on Signal specification or technology, the communication system is categorized as follows:
- Analog technology communicates data as electronic signals of differing frequencies or amplitude. For instance Broadcast and telephone transmission.
- In Digital technology, the data are created and processed in two states: High (represented as 1) and Low (represented as 0). Also this technology stores and transmits data in the form of 1's and 0's.
Elements of a Communication System:
