The $\mathrm{K}_{\alpha}$ X-ray of molybdenum has wavelength $0.071 \mathrm{~nm}$. If the energy of a molybdenum atoms with a $\mathrm{K}$ electron knocked out is $27.5 \mathrm{keV}$, the energy of this atom when an $\mathrm{L}$ electron is knocked out will be $\mathrm{keV}$. (Round off to the nearest integer)
$\left[\mathrm{h}=4.14 \times 10^{-15} \mathrm{eVs}, \mathrm{c}=3 \times 10^{8} \mathrm{~ms}^{-1}\right]$
$\mathrm{E}_{\mathrm{k}_{\mathrm{a}}}=\mathrm{E}_{\mathrm{k}}-\mathrm{E}_{\mathrm{L}}$
$\frac{\mathrm{hc}}{\lambda_{\mathrm{k}_{a}}}=\mathrm{E}_{\mathrm{k}}-\mathrm{E}_{\mathrm{L}}$
$\mathrm{E}_{\mathrm{L}}=\mathrm{E}_{\mathrm{k}}-\frac{\mathrm{hc}}{\lambda_{\mathrm{k}_{\alpha}}}$
$=27.5 \mathrm{KeV}-\frac{12.42 \times 10^{-7} \mathrm{eVm}}{0.071 \times 10^{-9} \mathrm{~m}}$
$\mathrm{E}_{\mathrm{L}}=(27.5-17.5) \mathrm{keV}$
$=10 \mathrm{keV}$
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- JEE Main
- Exam Pattern
- Previous Year Papers
- PYQ Chapterwise
- Physics
- Kinematics 1D
- Kinemetics 2D
- Friction
- Work, Power, Energy
- Centre of Mass and Collision
- Rotational Dynamics
- Gravitation
- Calorimetry
- Elasticity
- Thermal Expansion
- Heat Transfer
- Kinetic Theory of Gases
- Thermodynamics
- Simple Harmonic Motion
- Wave on String
- Sound waves
- Fluid Mechanics
- Electrostatics
- Current Electricity
- Capacitor
- Magnetism and Matter
- Electromagnetic Induction
- Atomic Structure
- Dual Nature of Matter
- Nuclear Physics
- Radioactivity
- Semiconductors
- Communication System
- Error in Measurement & instruments
- Alternating Current
- Electromagnetic Waves
- Wave Optics
- X-Rays
- All Subjects
- Physics
- Motion in a Plane
- Law of Motion
- Work, Energy and Power
- Systems of Particles and Rotational Motion
- Gravitation
- Mechanical Properties of Solids
- Mechanical Properties of Fluids
- Thermal Properties of matter
- Thermodynamics
- Kinetic Theory
- Oscillations
- Waves
- Electric Charge and Fields
- Electrostatic Potential and Capacitance
- Current Electricity
- Thermoelectric Effects of Electric Current
- Heating Effects of Electric Current
- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
- Electromagnetic Wave
- Ray Optics and Optical Instruments
- Wave Optics
- Dual Nature of Radiation and Matter
- Atoms
- Nuclei
- Semiconductor Electronics: Materials, Devices and Simple Circuits.
- Chemical Effects of Electric Current,