Which of the following particles has greater wavelengths having the same velocity?
Correct answer: C. Electron
- A. Proton
- B. Neutron
- C. Electron
- D. Alpha particle
Explanation
The wavelength of a particle is inversely proportional to its momentum. Therefore, to compare the wavelengths of particles with the same velocity, we need to look at their momenta.The momentum of a particle can be calculated using the equation:p = mvwhere:p = momentumm = mass of the particlev = velocity of the particleIf we assume that the velocities of the particles are the same, then the wavelength would be greater for the particle with the smaller momentum. Since momentum is directly proportional to mass, the particle with the smaller mass would have the greater wavelength.Therefore, among the given particles, the one with the smaller mass would have a greater wavelength, assuming they have the same velocity.
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Light is studied through reflection, refraction, dispersion, interference, diffraction and polarization, linking ray behavior with its wave nature. Questions may involve mirrors, lenses, optical instruments, refractive index and image formation, while geometrical optics deals with rays and wave optics explains effects such as interference and diffraction.
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