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A radar has a power of 1 {~kW} and is operating at a frequency

Question

Hard

Solving time: 4 mins

A radar has a power of $1 kW$ and is operating at a frequency of $10 GHz$ . It is located on a mountain top of height $500 m$ . The maximum distance upto which it can detect object located on the surface of the earth (Radius of earth $= 6.4 \times 1 0^{6} m$ ) is :

Name: Video solution 1: A radar has a power of 1 kW and is operating at a frequency of 10GHz. It is located on a mountain top of height 500 m. The maximum distance upto which it can detect object located on the surface of the earth (Radius of earth =6.4×106 m ) is :
Uploaded: 2023-09-08T09:39:55.000Z
Duration: 4 min
Description: Video solution 1: A radar has a power of 1 kW and is operating at a frequency of 10GHz. It is located on a mountain top of height 500 m. The maximum distance upto which it can detect object located on the surface of the earth (Radius of earth =6.4×106 m ) is :

80 km

16 km

40 km

64 km

Views: 6,343 students

Updated on: Sep 8, 2023

Found 8 tutors discussing this question

Evelyn Discussed

A radar has a power of

1 kW

and is operating at a frequency of

10 GHz

. It is located on a mountain top of height

500 m

. The maximum distance upto which it can detect object located on the surface of the earth (Radius of earth

= 6.4 \times 1 0^{6} m

) is :

7 mins ago

Discuss this question LIVE

7 mins ago

Text solutionVerified

Maximum distance on earth where object can be detected is

d

, then

(h + R)^{2} = d^{2} + R^{2}

d^{2} = h^{2} + 2 Rh

Since

h ≪ R, d^{2} = 2 hR

d^{2} = 2 (500) (6.4 \times 1 0^{6})

d = 80 km

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Question Text	A radar has a power of $1 kW$ and is operating at a frequency of $10 GHz$ . It is located on a mountain top of height $500 m$ . The maximum distance upto which it can detect object located on the surface of the earth (Radius of earth $= 6.4 \times 1 0^{6} m$ ) is :
Updated On	Sep 8, 2023
Topic	Semiconductor Electronics: Materials, Devices and Simple Circuits
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 2
Upvotes	262
Avg. Video Duration	13 min

A radar has a power of $1 kW$ and is operating at a frequency of $10 GHz$ . It is located on a mountain top of height $500 m$ . The maximum distance upto which it can detect object located on the surface of the earth (Radius of earth $= 6.4 \times 1 0^{6} m$ ) is :

Text solutionVerified

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A radar has a power of 1 kW and is operating at a frequency of 10GHz. It is located on a mountain top of height 500 m. The maximum distance upto which it can detect object located on the surface of the earth (Radius of earth =6.4×106 m ) is :

Text solutionVerified

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A radar has a power of $1 kW$ and is operating at a frequency of $10 GHz$ . It is located on a mountain top of height $500 m$ . The maximum distance upto which it can detect object located on the surface of the earth (Radius of earth $= 6.4 \times 1 0^{6} m$ ) is :