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Q.
The Vividh Bharti station of All India Radio, Delhi, broadcasts on frequency of 1368 kHz (kilo hertz). The wavelength emitted by the transmitter is
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a
249.3
b
109.3 m
c
219.3 m
d
129.3 m
answer is C.
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Detailed Solution
The Vividh Bharti station of All India Radio, Delhi, broadcasts on a frequency of 1368 kHz (kilohertz). To determine the wavelength emitted by the Vividh Bharti transmitter, we use the relationship between wavelength (λ), speed of light (c), and frequency (v):
Formula: λ = c / v
Substituting the Values
- The speed of light (c) is constant at 3 × 108 m/s.
- The frequency (v) is given as 1368 kHz.
- Since 1 kHz equals 103 cycles per second, we convert the frequency to 1368 × 103 Hz.
Thus, v = 1368 × 103 s-1.
Calculating the Wavelength
Using the formula:
λ = c / v
Substituting the values:
λ = (3 × 108 m/s) / (1368 × 103 s-1)
Performing the calculation:
λ = 219.3 m
Conclusion
The wavelength of the radio waves emitted by the Vividh Bharti station transmitter is approximately 219.3 meters. These waves fall in the radio wave region of the electromagnetic spectrum, which is commonly used for long-distance broadcasting like Vividh Bharti.
Additional Notes
Vividh Bharti, known for its wide variety of programs, uses this frequency effectively to ensure clear and widespread transmission across regions. The wavelength of 219.3 meters helps Vividh Bharti reach its audience with excellent signal quality, further enhancing its reputation as a trusted name in Indian radio broadcasting.
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