A neutron moving with velocity $u$ collides elastically with an atom of mass number $A$ . If the collision is head-on and the initial kinetic energy of neutron is $E$ , then the final kinetic energy of the neutron after collision is
A neutron moving with velocity $u$ collides elastically with an atom of mass number $A$ . If the collision is head-on and the initial kinetic energy of neutron is $E$ , then the final kinetic energy of the neutron after collision is
- A
${\left( {\frac{{A + 1}}{{A - 1}}} \right)^2}\,E$
- B
${\left( {\frac{{A - 1}}{{A + 1}}} \right)^2}\,E$
- C
${\left( {\frac{{A - 1}}{{A + 1}}} \right)}\,E$
- D
${\left( {\frac{{A + 1}}{{A - 1}}} \right)}\,E$
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A block of mass $m=1\; kg$. moving on a horizontal surface with speed $v_{t}=2 \;m s ^{-1}$ enters a rough patch ranging from $x=0.10\; m$ to $x=2.01\; m .$ The retarding force $F$ on the block in this range is inversely proportional to $x$ over this range,
$F_{r}=\frac{-k}{x}$ for $0.1 < x < 2.01 \;m$
$=0$ for $x < 0.1\; m$ and $x > 2.01\; m$
where $k=0.5\; J .$ What is the final kinetic energy and speed $v_{f}$ of the block as it crosses this patch ?
A block of mass $m=1\; kg$. moving on a horizontal surface with speed $v_{t}=2 \;m s ^{-1}$ enters a rough patch ranging from $x=0.10\; m$ to $x=2.01\; m .$ The retarding force $F$ on the block in this range is inversely proportional to $x$ over this range,
$F_{r}=\frac{-k}{x}$ for $0.1 < x < 2.01 \;m$
$=0$ for $x < 0.1\; m$ and $x > 2.01\; m$
where $k=0.5\; J .$ What is the final kinetic energy and speed $v_{f}$ of the block as it crosses this patch ?
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- [AIPMT 2015]
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