IIT-JEE Exam

The density of a solid ball is to be determined in an experiment. The diameter of the ball is measured with
a screw gauge, whose pitch is 0.5 mm and there are 50 divisions on the circular scale. The reading on the
main scale is 2.5 mm and that on the circular scale is 20 divisions. If the measured mass of the ball has a
relative error of 2 %, the relative percentage error in the density is
(A) 0.9 % (B) 2.4 %
(C) 3.1 % (D) 4.2 %

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IIT-JEE Other Question
A ball of mass 0.2 kg rests on a vertical post of height 5 m. A bullet
of mass 0.01 kg, traveling with a velocity V m/s in a horizontal
direction, hits the centre of the ball. After the collision, the ball and
bullet travel independently. The ball hits the ground at a distance of
20 m and the bullet at a distance of 100 m from the foot of the post.
The velocity V of the bullet is A) 250 m/s (B) 250 sqrt2 m/s
(C) 400 m/s (D) 500 m/s wooden block performs SHM on a frictionless surface
with frequency, n0. The block carries a charge +Q on its
surface. If now a uniform electric field E

is switched-on
as shown, then the SHM of the block will be
(A) of the same frequency and with shifted mean position.
(B) of the same frequency and with the same mean position
(C) of changed frequency and with shifted mean position.
(D) of changed frequency and with the same mean position