1
AIEEE 2008
+4
-1
A thin rod of length $$'L'$$ is lying along the $$x$$-axis with its ends at $$x=0$$ and $$x=L$$. Its linear density (mass/length) varies with $$x$$ as $$k{\left( {{x \over L}} \right)^n},$$ where $$n$$ can be zero or any positive number. If the position $${X_{CM}}$$ of the center of mass of the rod is plotted against $$'n',$$ which of the following graphs best approximates the dependence of $${X_{CM}}$$ on $$n$$?
A
B
C
D
2
AIEEE 2007
+4
-1
A circular disc of radius $$R$$ is removed from a bigger circular disc of radius $$2R$$ such that the circumferences of the discs coincide. The center of mass of the new disc is $$\alpha R$$ form the center of the bigger disc. The value of $$\alpha$$ is
A
$$1/4$$
B
$$1/3$$
C
$$1/2$$
D
$$1/6$$
3
AIEEE 2006
+4
-1
A player caught a cricket ball of mass $$150$$ $$g$$ moving at a rate of $$20$$ $$m/s.$$ If the catching process is completed in $$0.1s,$$ the force of the blow exerted by the ball on the hand of the player is equal to
A
$$150$$ $$N$$
B
$$3$$ $$N$$
C
$$30$$ $$N$$
D
$$300$$ $$N$$
4
AIEEE 2006
+4
-1
A bomb of mass $$16kg$$ at rest explodes into two pieces of masses $$4$$ $$kg$$ and $$12$$ $$kg.$$ The velocity of the $$12$$ $$kg$$ mass is $$4\,\,m{s^{ - 1}}.$$ The kinetic energy of the other mass is
A
$$144$$ $$J$$
B
$$288$$ $$J$$
C
$$192$$ $$J$$
D
$$96$$ $$J$$
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Medical
NEET