Question

A FM radio station broadcast it's programme at 93.5mhz.if the speed of radio waves is 3*10^8m/s find the wavelength of radio waves emitted
​

Answer 1

Answer:

• 3.20 metres.

Explanation:

Given:-

• Frequency , f = 93.5 MHz

• Speed of radio wave ,v = 3×10⁸ m/s

To Find:-

• Wavelength of the radio wave ,λ

Solution:-

Firstly we convert the unit here .

93.5 MHz into scientific notation

→ 9.35 × 10⁷cycles/sec

Now, we know that the speed of wave is defined as the product of frequency & wavelength.

• v =f λ

where,

• v denotes speed of wave
• f denotes frequency
• λ denotes wavelength

Substitute the value we get

→ λ = v/f

→ λ = 3×10⁸/9.35×10⁷

→ λ = 30/9.35

→ λ = 3.20 m

• Hence, the wavelength of the radio wave is 3.20 metres.

Answer 2

Answer:

Given :-

• Frequency = 93.5 mhz
• Speed of radio = 3 × 10⁸ m/s

To Find :-

Wavelength of radio

Solution :-

Conversion of unit

$\tt \: 93.5 \longrightarrow \: 9.35 \times {10}^{7}$

$\huge \bf \pink{ \lambda \: = \frac{v}{f}}$

Here

λ = Wave length

V = Speed of radio

F = Frequency

$\tt \lambda \: = \dfrac{9.35 \times 10 {}^{7} }{3 \times 10 {}^{8} }$

$\tt \lambda \: = \dfrac{30}{9.35}$

$\tt \lambda \: = 3.20 \: m$

Therefore :-

Wavelength of radio is 3.20 m.