Explanation:
Dispersion (splitting of white light into colors) occurs because refractive index n varies with wavelength (Cauchy's relation: n ∝ 1/λ² approximately). Since v = c/n, different colors travel at different speeds in the medium, causing different refraction angles (Snell's law). Frequency remains constant across media. Memory tip: 'Dispersion: n(λ) ⇒ v(λ) ⇒ different bending; violet bends most (highest n)'. This optics concept is frequently tested in competitive exams. Always distinguish cause (speed variation) from property (frequency/wavelength); competitive exams often test this nuanced understanding.
Explanation:
Total height = 30 × 0.2 m = 6 m. Work done = mgh = 50 × 10 × 6 = 3000 J. Power = Work/time = 3000/10 = 300 W. If steps height and number given, calculate total vertical displacement. Time taken for climbing is important. Power is rate of doing work.
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