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Multiple Choice Question Based on Passage
Relative Velocity
If two objects A and B are moving in a straight line with velocities V_A and V_Brespectively, the relative velocity of object A with respect to object B is given by V_AB = V_A - V_B
It follows that the relative velocity of object B with respect to A will be V_BA = V_B- V_A
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 V_AB, we find the resultant of vectors V_A and - V_B. To find V_BA, we find resultant of vectors V_B and - V_A.
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. With what speed does the rain strike his umbrella ?

(a)	1 ms^-1	(b)	7 ms^-1
(c)	5 ms^-1	(d)	3.5 ms^-1

Chemistry

A mixture of ethane (C₂H₆) and ethane (C₂H₄) occupies 40 litres at 1.00 atm and 400 K. The mixture reacts completely with 130 g of O₂ to produce CO₂ and H₂O. Assuming ideal gas behaviour, calculate the mole fractions of C₂H₄ and C₂H₆ in the mixture.