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Consider the following three statements: (i) For any electro-magnetic radiation, the product of the wavelength and the frequency is a constant. (ii) If a source of light has a wavelength of 3.0 Å, its frequency is 1.0*1018 Hz. (iii) The speed of ultra-violet light is greater than the speed of microwave radiation. Which of these three statements is or are true? (a) Only one statement is true. (b) Statements (i) and (ii) are true. (c) Statements (i) and (iii) are true. (d) Statements (ii) and (iii) are true. (e) All three statements are true.

Respuesta :

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Answer:

(b) Statements (i) and (ii) are true.  

Explanation:

(i) Wavelength and frequency

fλ = c

TRUE

(ii) Frequency

3.0 Å  = 3.0 × 10⁻¹⁰ m

fλ = c

[tex]f = \dfrac{c}{\lambda} = \dfrac{2.998 \times 10^{8} \text{ m$\cdot$s$^{-1}$}}{3.0 \times 10^{-10} \text{ m}}= 1.0 \times 10^{18}\text{ s}^{-1} = \mathbf{1.0 \times 10^{18}} \textbf{ Hz}[/tex]

TRUE

(iii) Speed of radiation

FALSE. The speed of electromagnetic waves is a given medium is a constant.

Statements (i) and (ii) are TRUE.

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