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Solve these IIT JEE advanced physics MCQs. Click "View Solution" to see the detailed explanation.
Question 1: A ball is thrown vertically upwards with a velocity of 20 m/s. What is the maximum height reached? (g = 9.8 m/s²)
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Solution: At maximum height, v = 0. Using v² = u² - 2gh → 0 = 400 - 19.6h → h = 20.41 m. Correct answer: C.
Question 2: A block of mass 5 kg is pushed on a frictionless surface with a force of 10 N. What is the acceleration?
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Solution: F = ma → a = F/m = 10/5 = 2 m/s². Correct answer: B.
Question 3: A capacitor of capacitance 10 μF is charged to 50 V. What is the energy stored in the capacitor?
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Solution: U = 1/2 CV² = 0.5 × 10×10⁻⁶ × 2500 = 0.0125 J. Correct answer: B.
Question 4: A wire of length 1 m and radius 1 mm has a resistance of 1 Ω. If its radius is doubled and length halved, what is the new resistance?
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Solution: R = ρL/A → new R = ρ(L/2) / (π(2r)²) = (ρL/2) / (4πr²) = R/8 = 0.125 Ω. Correct answer: D.
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