Advertisements
Advertisements
Question
Solve the numerical problem.
Calculate the wavelength in nm of an X-ray wave of frequency 2.0 × 1018 Hz.
Advertisements
Solution
Given: c = 3 × 108 , ν = 2 × 1018 Hz
To find: Wavelength (λ)
Formula: c = νλ
Calculation: From formula,
λ = `"c"/ν=(3xx10^8)/(2xx10^18)` = 1.5 × 10−10 = 0.15 nm
The wavelength of an X-ray is 0.15 nm.
APPEARS IN
RELATED QUESTIONS
How are infrared waves produced?
To which part of the electromagnetic spectrum does a wave of frequency 5 × 1011 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?
What is the range of the wavelength of the following electromagnetic waves?
(a) Ultraviolet
What is the range of the wavelength of the following electromagnetic waves?
(a) Infrared.
Name the radiations of wavelength just shorter than 4 × 10-7 m.
Give one use of gamma rays.
Name the waves of wavelength nearly 0.1 nm.
Two waves A and B have wavelength 0.01 Å and 9000 Å respectively.
- Name the two waves.
- Compare the speeds of these waves when they travel in vacuum.
The wavelength of X-rays is 0.01 Å. Calculate its frequency. State the assumption made, if any.
How are X-rays produced?
The potential difference applied to an X-ray tube is increased. As a result, in the emitted radiation,
(a) the intensity increases
(b) the minimum wavelength increases
(c) the intensity remains unchanged
(d) the minimum wavelength decreases.
X-ray incident on a material
(a) exerts a force on it
(b) transfers energy to it
(c) transfers momentum to it
(d) transfers impulse to it.
Iron emits Kα X-ray of energy 6.4 keV. Calculate the times taken by an iron Kα photon to cross through a distance of 3 km.
(Use Planck constant h = 4.14 × 10-15 eVs, speed of light c = 3 × 108 m/s.)
Heat at the rate of 200 W is produced in an X-ray tube operating at 20 kV. Find the current in the circuit. Assume that only a small fraction of the kinetic energy of electrons is converted into X-rays.
The Kα and Kβ X-rays of molybdenum have wavelengths 0.71 A and 0.63 A respectively. Find the wavelength of Lα X-ray of molybdenum.
The energy of a silver atom with a vacancy in K shell is 25.31 keV, in L shell is 3.56 keV and in M shell is 0.530 keV higher than the energy of the atom with no vacancy. Find the frequency of Kα, Kβ and Lα X-rays of silver.
(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 radio waves
To which regions of the electromagnetic spectrum do the following wavelengths belong:
(a) 250 nm
(b) 1500 nm
Name the part of the electromagnetic spectrum which is:
Produced by bombarding a metal target with high electrons.
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
State three properties of ultra-violet radiation similar to visible light.
Answer briefly.
Can we produce a pure electric or magnetic wave in space? Why?
Following QN ∴ 14, the radiation force on the roof will be
Ozone layer above the earth's atmosphere will
Radio waves of constant amplitude can be generated with.
Name the electromagnetic radiation that has been used in obtaining the image below.

In an atom X, electrons absorb the energy from an external source. This energy “excites” the electrons from a lower-energy level to a higher-energy level around the nucleus of the atom. When electrons return to the ground state, they emit photons.
The figure below is the energy level diagram of atom X with three energy levels, E1 = 0.00eV, E2 = 1.78eV and E3 = 2.95eV. The ground state is considered 0 eV for reference. The transition of electrons takes place between levels E1 and E2.

- What wavelength of radiation is needed to excite the atom to energy level E2 from E1?
- Suppose the external source has a power of 100 W. What would be the rate of photon emission?
