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```IIT-JEE-Physics-Paper 2 -2008-Solution

8. Let at any time t, the level has fallen by a distance x (= Vt)
Time constant (t) = RCeq

Correct choice: (A)

9. n0 sin θ = n0/8 sin π/2 => θ = sin-1 (1/8)
Correct choice: (B)

10. Correct choice: (B)

11. Correct choice: (B)

12. Correct choice: (B)

13. Correct choice: (C)

14. At r = R, E = kZe/R2 which is constant.
Correct choice: (A)

15. Total charge q = ∫0R4π r2 (dr)(d - d/R * r)=(π dR3)/3 = Ze
=> d = 3Ze/(π R3 )
Correct choice: (B)

16. The electric field inside a spherical charge distribution is linearly dependent on distance from centre when charge density is uniform. Hence a = R.
Correct choice: (C)

17. For linear motion f – 2kx = Ma
For rotational motion,

Solving, a = 4kx/3M
Therefore the net external force, F = Ma = -4kx/3
Correct choice: (D)
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```