IIT-JEE
Exam
Let S = {1, 2, 3, 4). The total number of unordered pairs of disjoint subsets of S is equal to
(A) 25 (B) 34
(C) 42 (D) 41
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IIT-JEE Other Question
Two adjacent sides of a parallelogram ABCD are given by AB= 2ˆi +10ˆj+11kˆ
and AD= − ˆi + 2ˆj+ 2kˆ
. The
side AD is rotated by an acute angle α in the plane of the parallelogram so that AD becomes AD′. If AD′
makes a right angle with the side AB, then the cosine of the angle α is given by
A block of mass 2 kg is free to move along the x–axis. It is at rest and from t =
0 onwards it is subjected to a time–dependent force F(t) in the x direction. The
force F(t) varies with t as shown in the figure. The kinetic energy of the block
after 4.5 seconds is
(A) 4.50 J (B) 7.50 J
(C) 5.06 J (D) 14.06 J.