JEE Advanced · 2013 · 02 Jun 2013 · Paper 1 · Work, Power & Energy

A disk of radius $R$ with uniform positive charge density $\sigma$ is placed on the $xy$ plane with its center at the origin. The Coulomb potential along the $z$-axis is

A particle of positive charg …

A particle is moved along a path AB-BC-CD-DE-EF-FA, as shown in figure, in presence of a force $\overrightarrow{\mathrm{F}}=(\alpha \mathrm{y}\hat{\mathrm{i}}+2\alpha \mathrm{x}\hat{\mathrm{j}})$ N, where x and y are in meter and $\alpha =-1\mathrm{N}/{\mathrm{m}}^{-1}$. The …

A particle of mass $m$ is initially at rest at the origin. It is subjected to a force and starts moving along the $x$-axis. Its kinetic energy $K$ changes with time as $dK/dt=\gamma t$, where $\gamma$ is a positive constant of appropriate dimensions. Which of the foll …

Two identical uniform discs roll without slipping on two different surfaces $AB$ and $CD$ (see figure) starting at $A$ and $C$ with linear speeds $v_1$ and $v_2$, respectively, and always remain in contact with the surfaces. If they reach $B$ and $D$ with the same linear spee …

A particle of unit mass is moving along the x-axis under the influence of a force and its total energy is conserved. Four possible forms of the potential energy of the particle are given in column I (a and ${\mathrm{U}}_0$ are constants). Match the potential energies in column I …

Consider an elliptically shaped rail PQ in the vertical plane with $\mathrm{OP}=3m$ and $\mathrm{OQ}=4m$. A block of mass 1 kg is pulled along the rail from P to Q with a force of $18N$, which is always parallel to line PQ (see the figure given). Assuming no frictional …