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An electric charge oscillating with a frequency of 1 kilo cycle/s can radiate electromagnetic wave of wavelength
  • a)
    100 km
  • b)
    200 km
  • c)
    300 km
  • d)
    400 km
Correct answer is option 'C'. Can you explain this answer?
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Understanding Electromagnetic Radiation
When an electric charge oscillates, it generates electromagnetic waves. The relationship between frequency (f) and wavelength (λ) is given by the equation:
λ = c / f
where:
- c = speed of light (approximately 3 x 10^8 m/s)
- f = frequency in Hz
Given Data
- Frequency (f) = 1 kilo cycle/s = 1000 Hz
- Speed of light (c) = 3 x 10^8 m/s
Calculating Wavelength
To find the wavelength, we can substitute the values into the formula:
- λ = c / f
- λ = (3 x 10^8 m/s) / (1000 Hz)
Performing the Calculation
- λ = 3 x 10^8 m/s / 1000
- λ = 3 x 10^5 m
To convert meters to kilometers:
- λ = 3 x 10^5 m = 300 km
Conclusion
The wavelength of the electromagnetic wave emitted by an oscillating charge with a frequency of 1 kilo cycle/s is 300 km. Thus, the correct answer is option 'C'.
This relationship illustrates the fundamental principles of electromagnetic radiation, crucial for understanding various phenomena in physics and applications in technology.
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