Advertisements
Advertisements
Question
For a given material, the energy and wavelength of characteristic X-rays satisfy
(a) E(Kα) > E(Kβ) > E(Kγ)
(b) E(Mα) > E(Lα) > E(Kα)
(c) λ(Kα) > λ(Kβ) > λ(Kγ)
(d) λ(Mα) > λ(Lα) > λ(Kα).
Advertisements
Solution
(c) λ(Kα) > λ(Kβ) > λ(Kγ)
(d) λ(Mα) > λ(Lα) > λ(Kα)
The Kγ transition (from the N shell to the K shell) involves more energy than the Kβ transition (from the M shell to the K shell), which has more energy than the Kα transition (from the L shell to the K shell).
As the energy varies inversely with the wavelength,
λ(Kα) > λ(Kβ) > λ(Kγ)
The Mα transition is due to the jumping of an electron from the N shell to the M shell and involves less energy than the Lα transition (from the M shell to the L shell), which involves less energy than the Kα transition (from the L shell to the K shell).
As the energy varies inversely with the wavelength,
λ(Mα) > λ(Lα) > λ(Kα)
APPEARS IN
RELATED QUESTIONS
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?
If the earth did not have an atmosphere, would its average surface temperature be higher or lower than what it is now?
What do you understand by the statement, "Electromagnetic waves transport momentum"?
The wavelengths for the light of red and blue colours are roughly 7.8 × `10^7` m and 4.8 × `10^7` m respectively.
(a) Which colour has the greater speed in vacuum?
(b) Which colour has the greater speed in glass?
What is the range of the wavelength of the following electromagnetic waves?
(a) Gamma rays.
Name the region beyond the red end of the spectrum.
Name the rays or waves of highest frequency .
Name the waves of wavelength nearly 0.1 nm.
Can a hydrogen atom emit characteristic X-rays?
Find the cutoff wavelength for the continuous X-rays coming from an X-ray tube operating at 30 kV.
(Use Planck constant h = 4.14 × 10-15 eVs, speed of light c = 3 × 108 m/s.)
The electron beam in a colour TV is accelerated through 32 kV and then strikes the screen. What is the wavelength of the most energetic X-ray photon?
(Use Planck constant h = 6.63 × 10-34 Js= 4.14 × 10-15 eVs, speed of light c = 3 × 108 m/s.)
When 40 kV is applied across an X-ray tube, X-ray is obtained with a maximum frequency of 9.7 × 1018 Hz. Calculate the value of Planck constant from these data.
(Use Planck constant h = 6.63 × 10-34 Js= 4.14 × 10-15 eVs, speed of light c = 3 × 108 m/s.)
A free atom of iron emits Kα X-rays of energy 6.4 keV. Calculate the recoil kinetic energy of the atom. Mass of an iron atom = 9.3 × 10−26 kg.
(Use Planck constant h = 6.63 × 10-34 Js= 4.14 × 10-15 eVs, speed of light c = 3 × 108 m/s.)
Write the range of the wavelength of the following electromagnetic radiations:
(a) Infrared rays
(b) Ultraviolet rays
(c) γ -rays
Write one use of each of the above.
Name the radiation of the electromagnetic spectrum which is used for the following:
Radar and Give the frequency range.
Name the radiation of the electromagnetic spectrum which is used for the following:
To photograph internal parts of the human body and Give the frequency range
Answer briefly.
Why are microwaves used in radar?
Light of wavelength `3500A` is incident on two metals A and B whose work functions are 3.2 eV and 1.9 eV respectively. Which metal will emit photoelectrons?
Assertion (A): Ultraviolet radiations is scattered more as compared to the microwave radiations.
Reason (R): Wavelength of ultraviolet radiation is more than the wavelength of microwave radiation.
