Q1 · hard · AI-verified
The uncertainty principle ΔxΔp ≥ ħ/2 implies that for a particle confined to a box of size L, the minimum kinetic energy is proportional to:
- L
- L²
- 1/L
- 1/L²
Q2 · hard · AI-verified
The de Broglie wavelength of an electron accelerated through a potential difference of 100V is approximately:
- 1.23 Å
- 0.123 Å
- 12.3 Å
- 0.0123 Å
Q3 · hard · AI-verified
In a Compton scattering experiment, X-rays of wavelength 0.71 Å are scattered by electrons at an angle of 90°. What is the wavelength of the scattered X-rays?
- 0.686 Å
- 0.734 Å
- 0.695 Å
- 0.752 Å
Q4 · hard · AI-verified
In the Bohr model of hydrogen atom, when an electron transitions from n=4 to n=2 level, the emitted photon belongs to which series and what is its approximate wavelength?
- Paschen series, 1875 nm
- Brackett series, 2625 nm
- Balmer series, 486 nm
- Lyman series, 121 nm
Q5 · hard · AI-verified
The binding energy per nucleon is maximum for nuclei with mass number around:
- 4
- 16
- 56
- 238