Question

The wavelength of X-ray is 10^-6 cm. Its frequency in Giga Hertz (GHz) will be (Hint: 1 Giga = 10^9)
3 * 10^7
3 x 10^9
3 x 10^10
3 x 10^8​

Answer 1

Answer:

X-ray has a wavelength of 1.15 x 10-10 m. What is its frequency? 1.15 x 10-10 m 2.61 x 1018 1/s = ν Page 16 What is the speed of an electromagnetic wave that has a frequency of 7.8 x 106 Hz? classical physics assumed that radiating energy was continuous, due to its wavelike nature .

Answer 2

Answer:

The frequency of of x-ray is equal to 3 × 10⁷ GHz whose wavelength equals to 10⁻⁶ cm.

Therefore, option (A) is correct.

Explanation:

Given, the wavelength of X-ray, λ = 10⁻⁶ cm

We know that the velocity of light, c = 3 × 10¹⁰cm/s

We know that the velocity of the light is equal to the product of wavelength (λ) and frequency of light (ν).

c = λν                                                                       ................(1)

We can use equation (1) to find the frequency of x- ray:-

$\nu=\frac{\big c}{\big \lambda}$                                                                          ..............(2)

Substitute the value of 'c' and 'λ' in the equation (2);

$\nu=\frac{3\times 10^{10}cm/s}{10^{-6}cm}$

$\nu=3\times 10^{16}\;s^{-1}$

$\nu= 3\times 10^{16}Hz$

Given, one Giga = 10⁹

So, ν  = 3 × 10⁷ × 10⁹ Hz

ν  = 3 × 10⁷ GHz

Therefore, the frequency of x-ray is equal to 3 × 10⁷ GHz.

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