1
JEE Main 2015 (Offline)
+4
-1
Distance of the center of mass of a solid uniform cone from its vertex is $$z{}_0$$. If the radius of its base is $$R$$ and its height is $$h$$ then $$z{}_0$$ is equal to :
A
$${{5h} \over 8}$$
B
$${{3{h^2}} \over {8R}}$$
C
$${{{h^2}} \over {4R}}$$
D
$${{3h} \over 4}$$
2
JEE Main 2013 (Offline)
+4
-1
This question has statement $${\rm I}$$ and statement $${\rm I}$$$${\rm I}$$. Of the four choices given after the statements, choose the one that best describes the two statements.

Statement - $${\rm I}$$: A point particle of mass $$m$$ moving with speed $$\upsilon$$ collides with stationary point particle of mass $$M.$$ If the maximum energy loss possible is given as $$f\left( {{1 \over 2}m{v^2}} \right)$$, then $$f = \left( {{m \over {M + m}}} \right).$$

Statement - $${\rm II}$$: Maximum energy loss occurs when the particles get stuck together as a result of the collision.

A
Statement - $${\rm I}$$ is true, Statement - $${\rm II}$$ is true; Statement - $${\rm II}$$ is the correct explanation of Statement - $${\rm I}$$.
B
Statement - $${\rm I}$$ is true, Statement - $${\rm II}$$ is true; Statement - $${\rm II}$$ is not the correct explanation of Statement - $${\rm I}$$.
C
Statement - $${\rm I}$$ is true, Statement - $${\rm II}$$ is false
D
Statement - $${\rm I}$$ is false, Statement - $${\rm II}$$ true.
3
AIEEE 2010
+4
-1
Statement - 1 : Two particles moving in the same direction do not lose all their energy in a completely inelastic collision.

Statement - 2 : Principle of conservation of momentum holds true for all kinds of collisions.
A
Statement - 1 is true, Statement - 2 is true; Statement - 2 is the correct explanation of Statement - 1
B
Statement - 1 is true, Statement - 2 is true; Statement - 2 is not the correct explanation of Statement - 1
C
Statement - 1 is false, Statement - 2 is true
D
Statement - 1 is true, Statement - 2 is false
4
AIEEE 2010
+4
-1
The figure shows the position$$-$$time $$(x-t)$$ graph of one-dimensional motion of body of mass $$0.4$$ $$kg.$$ The magnitude of each impulse is
A
$$0.4$$ $$Ns$$
B
$$0.8$$ $$Ns$$
C
$$1.6$$ $$Ns$$
D
$$0.2$$ $$Ns$$
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