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Questions

### Physics

Multiple Choice Question Based on Passage
Stoke' s Law : A body falling through a viscous medium experiences a retarding force resulting in absorption of energy by the medium in the form of heat. The motion of the body produces a relative motion between the different layers of the fluid. Consequently, it experiences a force which tends to retard its motion. When a small spherical body is dropped in a viscous liquid such as glycerine, it accelerates first, but soon begins to experience a retarding force. When the retarding force becomes equal to the effective weight of the body in the fluid, the body experiences no net force and falls with a constant velocity known as the terminal velocity.
George Stokes found that a small spherical body of radius r moving with a uniform velocity v in a fluid of coefficient of viscosity experiences a retarding force F given by
 F = 6 rv
From relation F = 6 rv, the dimensions of are
 (a) ML -1 T -1 (b) ML -1 T -2 (c) ML -2 T -1 (d) ML -2 T -2

### Chemistry

Multiple-Choice Question
If at 37oC and 1 atm pressure, 25% of N2O4 is dissociated to 2NO2, the equilibrium constant Kp will be about
(a) 0.27 atm
(b) 0.40 atm
(c) 0.54 atm
(d) 0.67 atm

### Mathematics

Passage Based Question
Passage I
A class consists of n students. For 0 k n, let Ek denote the event that exactly k student out of n pass in the examination. Let P(Ek) = pk and let A denote the event that a student X selected at random pass in the examination.
If P(Ek) = k for 0 k n, then the probability that X is the only student to pass the examination is
 (a) (b) (c) (d)
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