A radio station broadcasts on a frequency of 200 KHz and the wavelength of its signal 1500 m . calculate [a] The speed of the radio wave in ms [b] The wavelength of the signal of another station that broadcasts at a frequency of 250Hz
Answers
Answered by
10
Given:-
- Frequency (f) = 200kHz = 2×10⁵Hz.
- Wavelength ( λ ) = 1500m.
- Frequency of another station (f) =250Hz.
To Find:-
- (a) Speed of radio wave in m/s
- (b) wavelength of another signal ( λ ') .
Solution:-
(a)
As we know that
→ v = f λ
here v is the speed of wave
f is the frequency
λ is the wavelength
Substitute the value we get
→ v = 2×10⁵ ×1500
→ v = 3000 ×10⁵
→ v = 3× 10⁸m/s
∴ The speed of the radio wave is 3×10⁸m/s.
And Now
(b)
As from above solution the speed of radio wave is 3×10⁸ m/s.
Frequency = 250Hz
→ v = f λ
Substitute the value we get
→ 3×10⁸ = 250 × λ
→ λ = 3×10⁸/250
→ λ = 1200000m
→ λ = 1.2×10⁶ m
∴ The wavelength of the another station is 1.2×10⁶m.
Similar questions