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Plane microwaves from a transmitter are directed normally towards a plane reflector. A detector moves along the normal to the reflector. Between positions of 14 successive maxima, the detector travels a distance 0.13 m. If the velocity of light is 3 × 108 m/s, find the frequency of the transmitter.
  • a)
     1.5 × 1010 Hz
  • b)
    1010 Hz
  • c)
    3 × 1010 Hz
  • d)
    6 × 1010 Hz
Correct answer is option 'A'. Can you explain this answer?
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× 10^8 m/s, what is the wavelength of the microwaves?

We can start by using the formula for the distance between successive maxima in a diffraction pattern:

d = λ/2 sinθ

where d is the distance between maxima, λ is the wavelength of the waves, and θ is the angle between the incident waves and the normal to the reflector. In this case, since the waves are directed normally towards the reflector, θ is zero and we can simplify the equation to:

d = λ/2

We are given that the detector travels a distance of 0.14 m between 14 successive maxima, so we can find the distance between two adjacent maxima:

d = 0.14 m / 14 = 0.01 m

Substituting this into the above equation, we get:

0.01 m = λ/2

Solving for λ, we get:

λ = 0.02 m

Converting to meters, we get:

λ = 2 × 10^-2 m

Therefore, the wavelength of the microwaves is 2 × 10^-2 m, or 0.02 m.
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Plane microwaves from a transmitter are directed normally towards a plane reflector. A detector moves along the normal to the reflector. Between positions of 14 successive maxima, the detector travels a distance 0.13 m. If the velocity of light is 3 × 108m/s, find the frequency of the transmitter.a)1.5 × 1010Hzb)1010Hzc)3 × 1010Hzd)6 × 1010HzCorrect answer is option 'A'. Can you explain this answer?
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Plane microwaves from a transmitter are directed normally towards a plane reflector. A detector moves along the normal to the reflector. Between positions of 14 successive maxima, the detector travels a distance 0.13 m. If the velocity of light is 3 × 108m/s, find the frequency of the transmitter.a)1.5 × 1010Hzb)1010Hzc)3 × 1010Hzd)6 × 1010HzCorrect answer is option 'A'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Plane microwaves from a transmitter are directed normally towards a plane reflector. A detector moves along the normal to the reflector. Between positions of 14 successive maxima, the detector travels a distance 0.13 m. If the velocity of light is 3 × 108m/s, find the frequency of the transmitter.a)1.5 × 1010Hzb)1010Hzc)3 × 1010Hzd)6 × 1010HzCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Plane microwaves from a transmitter are directed normally towards a plane reflector. A detector moves along the normal to the reflector. Between positions of 14 successive maxima, the detector travels a distance 0.13 m. If the velocity of light is 3 × 108m/s, find the frequency of the transmitter.a)1.5 × 1010Hzb)1010Hzc)3 × 1010Hzd)6 × 1010HzCorrect answer is option 'A'. Can you explain this answer?.
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