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Light from a red laser pointer has a speed of 3.0×10^8 m/s and has a wavelength of 6.5×10^−7 m . What is the frequency of this light?
A.
2.0×10^2 m^2/s
B.
4.6×10^14 1/s
C.
4.6 s
D.
2.2×10^−15 s

Respuesta :

amna04352

Answer:

B.

4.6×10^14 1/s

Explanation:

v = f × lambda

Where,

v is the velocity

f is the frequency

Lambda is the wavelength

3.0 × 10⁸ = f × 6.5 × 10^-7

f = (3 × 10⁸) ÷ (6.5 × 10^-7)

f = (3/6.5) × 10^(8 - -7)

f = 0.4615384615 × 10¹⁵

f = 4.615384615 × 10¹⁴

The frequency of this light will be 4.6 X 10^14 1/s.

What is frequency?

  • The frequency is the number of waves that pass a fixed point in unit time.
  • It is denoted by f and the SI unit is hertz.

What is wavelength?

  • Wavelength is the distance between two consecutive crust or trough in any wave.
  • It is denoted by λ ( lambda ) and the SI unit is meter m.

What is the relation between velocity , wavelength and frequency?

  • For a constant wavelength, Increase in frequency will increase in velocity of the wave.
  • For a constant frequency, the wavelength is directly proportional to velocity.
  • It means V = fλ where, V = velocity , f = frequency and λ = wavelength.

So, from the above equation ,

                                  V = fλ

                                  ∴ f = V/λ

                                 ∴  f =  3.0×10^8 / 6.5×10^−7

                                 ∴ f = 4.6×10^14 1/s.

Thus, The frequency of this light will be 4.6 X 10^14 1/s.

Learn more about relation between velocity , wavelength and frequency here -

https://brainly.com/question/19804218

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