Question

Refer to the picture given below to give the answer. Don’t forget to use the correct amount of sig figs.

Answer 1

Answer:

9.62 μm

Explanation:

From the question given above, the following data were obtained:

Frequency (f) = 31.2 THz

Wavelength (λ) =..?

Next, we shall convert 31.2 THz to Hz.

This can be obtained as follow:

Recall:

1 THz = 1×10¹² Hz

Therefore,

31.2 THz = 31.2 THz × 1×10¹² Hz / 1 THz

31.2 THz = 3.12×10¹³ Hz

Therefore, 31.2 THz is equivalent to 3.12×10¹³ Hz.

Finally, we shall determine the wavelength (λ) infrared radiation as follow:

Frequency (f) = 3.12×10¹³ Hz.

Velocity (v) = 3×10⁸ m/s

Wavelength (λ) =..?

V = λf

3×10⁸ = λ × 3.12×10¹³

Divide both side by 3.12×10¹³

λ = 3×10⁸ / 3.12×10¹³

λ = 9.62×10¯⁶ m

Converting 9.62×10¯⁶ m to micro metre (μm) we have:

1 m = 1×10⁶ μm

Therefore,

9.62×10¯⁶ m = 9.62×10¯⁶ m × 1×10⁶ μm / 1 m

9.62×10¯⁶ m = 9.62 μm

Therefore, the wavelength of the infrared radiation is 9.62 μm