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Plane electromagnetic wave travels in vacuum along z-direction. If the frequency of the wave is 30 MHz, its wavelength is
- a)13 m
- b)12 m
- c)11 m
- d)10 m
Correct answer is option 'D'. Can you explain this answer?
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Plane electromagnetic wave travels in vacuum along z-direction. If the...
Electromagnetic wave and its properties
An electromagnetic wave is a disturbance that travels through space, created by the motion of electric charges. It consists of two perpendicular waves - the electric field and the magnetic field, which are also perpendicular to the direction of wave propagation. Electromagnetic waves do not require a medium for their propagation and can travel through a vacuum.
Formula for wavelength
The wavelength (λ) of an electromagnetic wave is the distance between two consecutive points on the wave that are in phase. It is related to the frequency (f) of the wave and the speed of light (c) in vacuum by the formula:
λ = c/f
Where λ is the wavelength in meters, c is the speed of light in meters per second, and f is the frequency in Hertz.
Calculation
Given that the frequency of the electromagnetic wave is 30 MHz, we can convert it to units of Hertz by multiplying it by 10^6. Therefore, f = 30 × 10^6 Hz.
The speed of light in vacuum is a constant value of 3 × 10^8 m/s.
Substituting the values in the formula for wavelength, we get:
λ = c/f = 3 × 10^8 / (30 × 10^6) = 10 m
Therefore, the wavelength of the electromagnetic wave is 10 meters.
Conclusion
The correct answer is option D, i.e. the wavelength of the electromagnetic wave with a frequency of 30 MHz is 10 meters.
An electromagnetic wave is a disturbance that travels through space, created by the motion of electric charges. It consists of two perpendicular waves - the electric field and the magnetic field, which are also perpendicular to the direction of wave propagation. Electromagnetic waves do not require a medium for their propagation and can travel through a vacuum.
Formula for wavelength
The wavelength (λ) of an electromagnetic wave is the distance between two consecutive points on the wave that are in phase. It is related to the frequency (f) of the wave and the speed of light (c) in vacuum by the formula:
λ = c/f
Where λ is the wavelength in meters, c is the speed of light in meters per second, and f is the frequency in Hertz.
Calculation
Given that the frequency of the electromagnetic wave is 30 MHz, we can convert it to units of Hertz by multiplying it by 10^6. Therefore, f = 30 × 10^6 Hz.
The speed of light in vacuum is a constant value of 3 × 10^8 m/s.
Substituting the values in the formula for wavelength, we get:
λ = c/f = 3 × 10^8 / (30 × 10^6) = 10 m
Therefore, the wavelength of the electromagnetic wave is 10 meters.
Conclusion
The correct answer is option D, i.e. the wavelength of the electromagnetic wave with a frequency of 30 MHz is 10 meters.
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Plane electromagnetic wave travels in vacuum along z-direction. If the frequency of the wave is 30 MHz, its wavelength isa)13 mb)12 mc)11 md)10 mCorrect answer is option 'D'. Can you explain this answer?
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Plane electromagnetic wave travels in vacuum along z-direction. If the frequency of the wave is 30 MHz, its wavelength isa)13 mb)12 mc)11 md)10 mCorrect answer is option 'D'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Plane electromagnetic wave travels in vacuum along z-direction. If the frequency of the wave is 30 MHz, its wavelength isa)13 mb)12 mc)11 md)10 mCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Plane electromagnetic wave travels in vacuum along z-direction. If the frequency of the wave is 30 MHz, its wavelength isa)13 mb)12 mc)11 md)10 mCorrect answer is option 'D'. Can you explain this answer?.
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