A moving proton and electron have the same deBroglie wavelength. If $\mathrm{K}$ and $P$ denote the $\mathrm{K} . \mathrm{E}$. and momentum respectively. Then choose the correct option :
$\mathrm{K}_{\mathrm{p}}<\mathrm{K}_{\mathrm{e}}$ and $\mathrm{P}_{\mathrm{p}}=\mathrm{P}_{\mathrm{e}}$
$\mathrm{K}_{\mathrm{p}}=\mathrm{K}_{\mathrm{e}}$ and $\mathrm{P}_{\mathrm{p}}=\mathrm{P}_{\mathrm{e}}$
$\mathrm{K}_{\mathrm{p}}<\mathrm{K}_{\mathrm{e}}$ and $\mathrm{P}_{\mathrm{p}}<\mathrm{P}_{\mathrm{e}}$
$\mathrm{K}_{\mathrm{p}}>\mathrm{K}_{\mathrm{e}}$ and $\mathrm{P}_{\mathrm{p}}=\mathrm{P}_{\mathrm{e}}$
Correct Option:
$\lambda_{\mathrm{p}}=\frac{\mathrm{h}}{\mathrm{P}_{\mathrm{p}}} \quad \lambda_{\mathrm{e}}=\frac{\mathrm{h}}{\mathrm{P}_{\mathrm{e}}}$
$\because \lambda_{\mathrm{P}}=\lambda_{\mathrm{e}}$
$\Rightarrow P_{P}=P_{e}$
$(\mathrm{K})_{\mathrm{P}}=\frac{\mathrm{P}_{\mathrm{P}}^{2}}{2 \mathrm{~m}_{\mathrm{P}}}$
$(\mathrm{K})_{\mathrm{e}}=\frac{\mathrm{P}_{\mathrm{e}}^{2}}{2 \mathrm{~m}_{\mathrm{e}}}$
$\mathrm{K}_{\mathrm{p}}<\mathrm{K}_{\mathrm{e}}$ as $\mathrm{m}_{\mathrm{P}}>\mathrm{m}_{\mathrm{e}}$
Option (1)
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- Wave Optics
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All Study Material
- 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,