
A TV tower has a height of 100m. By how much the height of the tower should be increased to triple its coverage range (in m).
A. 200
B. 800
C. 900
D. 300
Answer
502.2k+ views
Hint: Coverage range of a TV tower is the geographic area where the tower can communicate. The question talks about the height of a certain television tower which is installed and erected to stand and how the height would be if allowed to be clamped on each other in three different pieces. Coverage range is directly proportional to the square root of the height of the tower. Use this info to solve the question.
Complete step by step answer:
We are given that the height of a TV tower is 100m.
We have to find the height of the tower when the coverage range is tripled.
Let the coverage range be R.
Let the new coverage area be
By the given info, we can say that the new coverage area is three times (triple) the older coverage area
Coverage range is directly proportional to the square root of height.
Where H is equal to 100m
Therefore, when the height of the tower is 900 m then the coverage range gets tripled.
The increase in height should be
Therefore, the height of the tower should be increased by 800 m to triple its coverage area.
So, the correct answer is “Option B”.
Note:
The height of a transmitting antenna or a tower is directly proportional to the square of the distance covered (coverage). Greater the height of an antenna, greater is its coverage. Example for coverage range is the area within which a phone will finish calls using a mobile network.
Complete step by step answer:
We are given that the height of a TV tower is 100m.
We have to find the height of the tower when the coverage range is tripled.
Let the coverage range be R.
Let the new coverage area be
By the given info, we can say that the new coverage area is three times (triple) the older coverage area
Coverage range is directly proportional to the square root of height.
Where H is equal to 100m
Therefore, when the height of the tower is 900 m then the coverage range gets tripled.
The increase in height should be
Therefore, the height of the tower should be increased by 800 m to triple its coverage area.
So, the correct answer is “Option B”.
Note:
The height of a transmitting antenna or a tower is directly proportional to the square of the distance covered (coverage). Greater the height of an antenna, greater is its coverage. Example for coverage range is the area within which a phone will finish calls using a mobile network.
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
School Full course for CBSE students
₹41,848 per year
Recently Updated Pages
Master Class 12 Economics: Engaging Questions & Answers for Success

Master Class 12 Maths: Engaging Questions & Answers for Success

Master Class 12 Biology: Engaging Questions & Answers for Success

Master Class 12 Physics: Engaging Questions & Answers for Success

Master Class 12 Business Studies: Engaging Questions & Answers for Success

Master Class 12 English: Engaging Questions & Answers for Success

Trending doubts
What is the Full Form of PVC, PET, HDPE, LDPE, PP and PS ?

What are saprophytes Give two examples class 12 biology CBSE

How do you convert from joules to electron volts class 12 physics CBSE

Mirage is a phenomena due to A Refraction of light class 12 physics CBSE

Why did French artist Frederic sorrieu prepare a series class 12 social science CBSE

What is Nutrition Explain Diff Type of Nutrition ?
