1
AIEEE 2010
+4
-1
The potential energy function for the force between two atoms in a diatomic molecule is approximately given by $$U\left( x \right) = {a \over {{x^{12}}}} - {b \over {{x^6}}},$$ where $$a$$ and $$b$$ are constants and $$x$$ is the distance between the atoms. If the dissociation energy of the molecule is $$D = \left[ {U\left( {x = \infty } \right) - {U_{at\,\,equilibrium}}} \right],\,\,D$$ is
A
$${{{b^2}} \over {2a}}$$
B
$${{{b^2}} \over {12a}}$$
C
$${{{b^2}} \over {4a}}$$
D
$${{{b^2}} \over {6a}}$$
2
AIEEE 2008
+4
-1
An athlete in the olympic games covers a distance of $$100$$ $$m$$ in $$10$$ $$s.$$ His kinetic energy can be estimated to be in the range
A
$$200J-500J$$
B
$$2 \times {10^5}J - 3 \times {10^5}J$$
C
$$20,000J - 50,000J$$
D
$$2,000J - 5,000J$$
3
AIEEE 2007
+4
-1
A particle is projected at $$60^\circ$$ to the horizontal with a kinetic energy K. The kinetic energy at the highest point is
A
K/2
B
K
C
Zero
D
K/4
4
AIEEE 2007
+4
-1
A $$2$$ $$kg$$ block slides on a horizontal floor with a speed of $$4m/s.$$ It strikes a uncompressed spring, and compress it till the block is motionless. The kinetic friction force is $$15N$$ and spring constant is $$10, 000$$ $$N/m.$$ The spring compresses by
A
$$8.5cm$$
B
$$5.5cm$$
C
$$2.5cm$$
D
$$11.0cm$$
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