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Which of the following characteristics of a matter wave is independent of the charge and nature of the material particle?
The text states, 'The de Broglie wavelength ($\lambda$) is independent of the charge and nature of the material particle.'
For which of the following particles is the de Broglie wavelength significantly measurable, typically of the order of atomic-plane spacing in crystals?
The text indicates, 'It is significantly measurable (of the order of the atomic-planes spacing in crystals) only in case of sub-atomic particles like electrons, protons, etc. (due to smallness of their masses and hence, momenta).'
Two significant developments that contributed to the formulation of the quantum mechanical model of the atom, addressing the shortcomings of Bohr's model, were:
The section '2.5 t oWarDs QUantUm mecHanical moDel of tHe atom' states: 'Two important developments which contributed significantly in the formulation of such a model were: 1. Dual behaviour of matter, 2. Heisenberg uncertainty principle.'
The concept of 'mass as another form of energy' and the famous mass-energy equivalence relation ($E = mc^2$) was proposed by:
The text under '13.4.1 Mass – Energy' clearly states, 'Einstein showed from his theory of special relativity that it is necessary to treat mass as another form of energy... Einstein gave the famous mass-energy equivalence relation $E = mc^2$ (13.6).'
What evidence solidified the particle-like behavior of light, in addition to the photoelectric effect?
The text states, 'The particle-like behaviour of light was further confirmed, in 1924, by the experiment of A.H. Compton (1892-1962) on scattering of X-rays from electrons.'
If one gram of matter is completely converted to energy, the amount of energy released would be:
From Example 13.2, 'Calculate the energy equivalent of 1 g of substance. Solution: Energy, $E = 10^{-3} \times (3 \times 10^8)^2 \text{ J} = 10^{-3} \times 9 \times 10^{16} = 9 \times 10^{13} \text{ J}$'.
In the context of the dual nature of radiation and matter, what does Planck's constant (h) relate?
The text explaining the de Broglie relation (Eq. 11.5) states, 'On the left hand side of Eq. (11.5), $\lambda$ is the attribute of a wave while on the right hand side the momentum p is a typical attribute of a particle. Planck’s constant h relates the two attributes.'
Millikan's experiments on the photoelectric effect, initially aimed at disproving Einstein's photoelectric equation, eventually led to:
The text explicitly states: 'During 1906-1916, Millikan performed a series of experiments on photoelectric effect, aimed at disproving Einstein’s photoelectric equation... In this way, in 1916, Millikan proved the validity of Einstein’s photoelectric equation, instead of disproving it.'
The dualism of matter, inherent in the de Broglie relation, means that it contains:
The text explains: 'The dualism of matter is inherent in the de Broglie relation which contains a wave concept ($\lambda$) and a particle concept (p).'
Which of the following theories unified the laws of conservation of mass and conservation of energy into a single, unified law?
Under 'POINTS TO PONDER' in the NUCLEI chapter, it says: 'After Einstein showed the equivalence of mass and energy, E = mc^2, we cannot any longer speak of separate laws of conservation of mass and conservation of energy, but we have to speak of a unified law of conservation of mass and energy.'
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The bank mixes NEET previous year questions (PYQs) with practice questions, each tagged with its exam appearances where applicable.