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Questions

### Physics

Multiple Choice Question Based on Passage
Relative Velocity
If two objects A and B are moving in a straight line with velocities VA and VB respectively, the relative velocity of object A with respect to object B is given by VAB = VA - VB
It follows that the relative velocity of object B with respect to A will be VBA = VB - VA
If objects A and B are moving along different directions in a plane, the relative velocity of one object with respect to the other is found by using the parallelogram law of vector addition. To find VAB, we find the resultant of vectors VA and - VB. To find VBA, we find resultant of vectors VB and - VA.
Rain is falling vertically with a speed of 4 ms-1. A man riding a bicycle is travelling at a speed of 3 ms-1 in the north to south direction. In order to protect himself from rain, the man should hold his umbrella at an angle given by
(a) tan-1 in the north-west direction
(b) tan-1 in the south-west direction
(c) tan-1 in the north-east direction
(d) tan-1 in the south-east direction

### Chemistry

Increasing/Decreasing Characteristics
 Increasing bond strength HCl, HBr, HF, HI

### Mathematics

Passage Based Question
Passage I
Suppose E1, E2, E3 be three mutually exclusive events such that P(Ei) = pi for i = 1, 2, 3.
If p1, p2, p3 are the roots of 27x3 - 27x2 + ax - 1 = 0 then value of a is
 (a) 9 (b) 6 (c) 3 (d) [0, 1/5]
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