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 = ∫₀^R4π 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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