Question for the Day 29.9.2007

1. Function x = A sin^2 ωt + B cos^2 ωt + C sin ωt cos ωt represents Simple Harmonic Motion



(A) for any value of A, B and C (except C = 0)
(B) if A = −B; C = 2B, amplitude = Absolute value of (B*SQRT(2))
(C) if A = B; C = 0
(D) if A = B; C = 2B, amplitude = Absolute value of B

Multiple solutions possible



2. . Match the extraction processes listed in Column I with metals listed in Column II:
Column I --------------------------------- Column II
(A) Self reduction -------------------------- P. Lead
(B) Carbon reduction-------------------------- Q. Silver
(C) Complex formation and -------------------- R. Copper
displacement by metal
(D)Decomposition of iodide-------------------- S. Boron

3. A tangent drawn to the curve y = f(x) at P(x, y) cuts the x-axis and y-axis at A and B respectively such that BP : AP = 3:1, given that f(1) = 1, then

(A) equation of curve is x(dy/dx) - 3y = 0
(B) normal at (1, 1) is x + 3y = 4
(C) curve passes through (2, 1/8)
(D) equation of curve is x(dy/dx)+3y = 0

Note: multiple solutions possible