Advertisements
Advertisements
प्रश्न
Find the energy, the frequency and the momentum of an X-ray photon of wavelength 0.10 nm.
(Use Planck constant h = 4.14 × 10-15 eVs, speed of light c = 3 × 108 m/s.)
Advertisements
उत्तर
Given:
Wavelength of the X-ray photon, λ = 0.1 nm
Speed of light, c = 3 `xx` 108 m/s
(a) Energy of the photon (E) is given by
`E = (hc)/lambda`
⇒ `E = (1242 "eV")/0.1`
⇒ `E = 12420 "eV"`
⇒ `E = 12.42 "keV" ≈ 12.4 "keV"`
(b) Frequency is given by
`v = c/lambda`
⇒`v = (3 xx 10^8)/(0.1 xx 10^-9)`
⇒`v = 3 xx 10^18 "Hz"`
(c) Momentum of the photon (P) is given by
`P = E/c`
⇒`P = (12.4 xx 10^3 xx 1.6 xx 10^-19)/(3 xx 10^8)`
⇒`P = 6.613 xx 10^-24 "kg-m/s" ≈ 6.62 xx 10^-24 "g-m/s"`
APPEARS IN
संबंधित प्रश्न
If the earth did not have atmosphere, would its average surface temperature be higher or lower than what it is now? Explain.
To which part of the electromagnetic spectrum does a wave of frequency 5 × 1019 Hz belong?
Use the formula λm T= 0.29 cm K to obtain the characteristic temperature ranges for different parts of the electromagnetic spectrum. What do the numbers that you obtain tell you?
A wave has a wavelength of 10-3 nm. Name the wave.
Name the waves used for taking photographs in dark.
Can Lα X-ray of one material have shorter wavelength than Kα X-ray of another?
Visible light passing through a circular hole forms a diffraction disc of radius 0.1 mm on a screen. If an X-ray is passed through the same setup, the radius of the diffraction disc will be
The wavelength of Kα X-ray of tungsten is 21.3 pm. It takes 11.3 keV to knock out an electron from the L shell of a tungsten atom. What should be the minimum accelerating voltage across an X-ray tube having tungsten target which allows production of Kα X-ray?
(Use Planck constant h = 6.63 × 10-34 Js= 4.14 × 10-15 eVs, speed of light c = 3 × 108 m/s.)
The wavelengths of Kα and Lα X-rays of a material are 21.3 pm and 141 pm respectively. Find the wavelength of Kβ X-ray of the material.
(Use Planck constant h = 6.63 × 10-34 Js= 4.14 × 10-15 eVs, speed of light c = 3 × 108 m/s.)
Name the scientist who discovered Visible light
Answer briefly.
Why are microwaves used in radar?
Answer briefly.
Name the most harmful radiation entering the Earth's atmosphere from outer space.
Solve the numerical problem.
The speed of light is 3 × 108 m/s. Calculate the frequency of red light of a wavelength of 6.5 × 10−7 m.
Following QN ∴ 14, the radiation force on the roof will be
Radio waves of constant amplitude can be generated with.
SONAR emits which of the following waves?
The magnetic field of a beam emerging from a filter facing a floodlight is given by B0 = 12 × 10–8 sin (1.20 × 107z – 3.60 × 1015t) T. What is the average intensity of the beam?
What happens to the intensity of light from a bulb if the distance from the bulb is doubled? As a laser beam travels across the length of a room, its intensity essentially remains constant. What geometrical characteristic of LASER beam is responsible for the constant intensity which is missing in the case of light from the bulb?
Give any two uses of infrared waves.
