NEET
- Exam
- NEET
- Subject
- Physics
- Chapter
- Atomic Physics
NEET · Physics · Atomic Physics
A proton and an electron both have energy 50 eV. Statement I : Both...
A proton and an electron both have energy 50 eV.
Statement I : Both have different wavelengths.
Statement II : Wavelength depends on energy, not on mass.
In light of above statement choose the most appropriate answer from the options given below:
Options
- ABoth statement I and statement II are correct.
- BStatement I is correct and statement II is incorrect.
- CStatement I is incorrect and statement II is correct.
- DBoth statements I and statements II are incorrect.
Correct answer
B. Statement I is correct and statement II is incorrect.
Step-by-step solution
- Statement I: The proton and electron have different masses. Since the de Broglie wavelength depends on both the energy and the mass of the particle, for the same energy (50 eV), the proton and electron will have different wavelengths. Therefore, Statement I is correct.
- Statement II: The wavelength depends on both the energy and the mass of the particle, not just energy. The de Broglie wavelength is given by (\lambda=\frac{h}{\sqrt{2 m E}}), where is the mass and is the energy. Since mass plays a role, Statement II is incorrect.