Govt. Exams
Number of half-lives = 30/10 = 3. Remaining fraction = (1/2)³ = 1/8
Iron-56 has the maximum binding energy per nucleon (~8.8 MeV/nucleon), making it the most stable nucleus. This is a key concept in nuclear physics.
de Broglie proposed that λ = h/p, where h is Planck's constant and p is momentum. This is fundamental to wave-particle duality.
Using E=mc², the rest mass energy of electron (m=9.11×10⁻³¹ kg) is 0.511 MeV, a fundamental constant in modern physics.
Resolving power = 1/(minimum resolvable distance) ∝ 1/λ. Shorter wavelength gives better resolution. UV microscopy uses shorter wavelengths.
Negative power indicates concave lens (f = -20 cm). Concave lens is used to correct myopia (short-sightedness).
Violet has smaller λ, higher frequency, and the medium has higher n for violet (dispersion). All factors lead to greater deviation.
sin(critical angle) = 1/n. sin(45°) = 1/√2 = 1/n, therefore n = √2 ≈ 1.414
For magnified real image in concave mirror, object distance u must be between f and 2f (between focus and center of curvature), giving magnification m > 1.
Wavelength in medium = λ_vacuum / n = 500/1.5 = 333.3 nm. Frequency remains constant in different media.
