A ray of light travels from glass (μ=1.5) to air. Critical angle is
A. sin⁻¹(1.5)
B. sin⁻¹(1/1.5)
C. sin⁻¹(1/3)
D. sin⁻¹(2/3)
Answer: Option B
Solution (By JKExamLibrary)
sin C = 1/μ = 2/3 ≈ 0.6667, C = sin⁻¹(2/3). So option A: sin⁻¹(2/3). Wait sin C = n2/n1 = 1/1.5 = 2/3. So C = sin⁻¹(2/3). Option A is sin⁻¹(2/3). I'll correct to A.
Explanation:
Impulse = Force × time = change in momentum. Momentum = mass × velocity, dimensions [M][LT⁻¹] = [MLT⁻¹]. Force dimensions [MLT⁻²], multiplied by time gives [MLT⁻¹]. Same as momentum.
Explanation:
Average Earth-Sun distance (1 AU) ≈ 1.5×10¹¹ m. Speed of light c = 3×10⁸ m/s. Time t = distance/speed = 1.5×10¹¹ / 3×10⁸ = 500 seconds ≈ 8.33 minutes ≈ 8 minutes. This is a standard astronomical fact. Memory aid: 'Sunlight takes 8 minutes to reach Earth; we see the Sun as it was 8 minutes ago'. This factual knowledge question tests awareness of scale in physics, frequently appearing in competitive exams. Always recall key constants: Earth-Sun distance, light speed, for quick estimations.
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