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NEET Practice: Physics 6

1. The acceleration due to gravity at a height h above Earth's surface is g' = g(1 - 2h/R). For h = R/2, g' is:

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Correct Answer: (d) g/9

Explanation:
g' = g / (1 + h/R)² = g / (1.5)² = g / 2.25 = (4/9)g
2. The wavelength of light in vacuum is 6000 Å. Its wavelength in a medium of refractive index 1.5 is:

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Correct Answer: (a) 4000 Å

Explanation:
λ_medium = λ_vacuum / μ = 6000 / 1.5 = 4000 Å
3. The self-inductance of a coil is 2 H. The energy stored when current 2 A flows through it is:

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Correct Answer: (b) 4 J

Explanation:
Energy = (1/2)LI² = (1/2)×2×4 = 4 J
4. The rate of heat flow through a rod is Q. If length is doubled and area halved, new rate is:

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Correct Answer: (a) Q/4

Explanation:
Rate ∝ A/L → new rate = Q × (A/2) / (2L) = Q/4
5. The pH of a solution is 3. The hydrogen ion concentration is:

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Correct Answer: (d) Both (a) and (c)

Explanation:
pH = -log[H⁺] → [H⁺] = 10⁻³ mol/L = 0.001 mol/L
6. A convex lens of focal length 20 cm forms an image at 30 cm. The object distance is:

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Correct Answer: (a) 60 cm

Explanation:
1/f = 1/v - 1/u → 1/20 = 1/30 - 1/u → u = -60 cm (real object)
7. The rms speed of gas molecules is v. If temperature is doubled, rms speed becomes:

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Correct Answer: (b) √2 v

Explanation:
v_rms ∝ √T → temperature doubled → speed increases by √2
8. The number of neutrons in ¹⁴C is:

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Correct Answer: (b) 8

Explanation:
Mass number 14, atomic number 6 → neutrons = 14 - 6 = 8
9. The torque on a bar magnet in a uniform magnetic field is maximum when angle between M and B is:

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Correct Answer: (c) 90°

Explanation:
τ = MB sinθ → maximum when sinθ = 1 (θ = 90°)
10. The dimensional formula of Planck’s constant is:

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Correct Answer: (a) [ML²T⁻¹]

Explanation:
E = hν → h = E/ν → [ML²T⁻ ²] / [T⁻¹] = [ML ²T⁻¹]