The de Broglie wavelength associated with a moving particle is inversely proportional to its: MCQ with Answer and Explanation

Explanation:
Fringe width β = λD/d, where λ wavelength, D screen distance, d slit separation. New d' = 2d, new D' = D/2. Thus β' = λ(D/2)/(2d) = λD/(4d) = β/4. Fringe width reduces to one-fourth. Memory tip: 'β ∝ D/d; changes multiply'. This proportional reasoning problem tests wave optics understanding, frequently appearing in competitive exams. Always track how each parameter change affects the result; combine multiplicative factors for net effect. Verify with dimensional analysis: β has length dimension, consistent with λD/d.

Explanation:
Seconds pendulum has period 2 s (1 s each swing).

Explanation:
The Sun and other stars generate their immense energy through nuclear fusion. In the Sun's core, immense gravitational pressure and heat cause hydrogen nuclei (protons) to overcome electrostatic repulsion and fuse together to form helium nuclei. This fusion process releases vast amounts of energy according to Einstein's E=mc².