Work, Energy & Power · JEE Main previous year questions

2006 2 questions

1. Q472006 · 29 Apr 2006 · Shift 1

   The potential energy of a $1kg$ particle free to move along the $x$-axis is given by $V(x)=\left(\frac{x^4}{4}-\frac{x^2}{2}\right)J$. The total mechanical energy of the particle is $2J$. Then, the maximum speed (in $m/s$) is

   1. A.$\frac{3}{\sqrt{2}}$
   2. B.$\sqrt{2}$
   3. C.$\frac{1}{\sqrt{2}}$
   4. D.2
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   Answer: A

2. Q482006 · 29 Apr 2006 · Shift 1

   A bomb of mass $16kg$ at rest explodes into two pieces of masses $4kg$ and $12kg$. The velocity of the $12kg$ mass is $4m{s}^{-1}$. The kinetic energy of the other mass is

   1. A.$144J$
   2. B.$288J$
   3. C.$192J$
   4. D.$96J$
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   Answer: B