Question

Calculate the wavelength in nm of an
X-ray wave of frequency 2.0x1018 Hz.
[Ans: 0.15 nm]​

Answer 1

wavelength of X - ray is 0.15 nm

it is given that frequency of X - ray is 2 × 10^18 Hz.

we have to find wavelength of X - ray.

we know, speed of light = wavelength of X - ray × frequency of X - ray.

⇒3 × 10^8 m/s = wavelength of X - ray × 2 × 10^18 Hz

⇒wavelength of X - ray = (3 × 10^8)/(2 × 10^18)

= 1.5 × 10^-10 m

= 0.15 × 10^-9 m

= 0.15 nm [ we know, 1 nm = 10^-9 m ]

therefore, wavelength of X - ray is 0.15 nm

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Answer 2

Explanation:

The wavelength of an X-ray wave of frequency 2.0x10^18 Hz can be calculated using the formula:

wavelength = speed of light / frequency

where the speed of light is approximately 3.00 x 10^8 meters per second.

Substituting the given values, we get:

wavelength = (3.00 x 10^8 m/s) / (2.0 x 10^18 Hz)

wavelength = 1.5 x 10^-10 meters

To convert meters to nanometers, we multiply by 10^9, so:

wavelength = 1.5 x 10^-10 meters x 10^9 nm/m

wavelength = 0.15 nm (rounded to two decimal places)

Therefore, the wavelength of an X-ray wave of frequency 2.0x10^18 Hz is approximately 0.15 nm.