The kinetic energies of two similar cars A and B are 100 J…

The kinetic energies of two similar cars A and B are 100 J and 225 J respectively. On applying breaks, car A stops after 1000 m and car B stops after 1500 m. If $F_{A}$ and $F_{B}$ are the forces applied by the breaks on cars A and B respectively, then the ratio of $\frac{F_{A}}{F_{B}}$ … Read more

There are two inclined surfaces of equal length (L) and same angle…

There are two inclined surfaces of equal length (L) and same angle of inclination $45^{\circ}$ with the horizontal. One of them is rough and the other is perfectly smooth. A given body takes 2 times as much time to slide down on rough surface than on the smooth surface. The coefficient of kinetic friction $(\mu_{k})$ … Read more

An electron (mass $9\times10^{-31}$ kg and charge $1.6\times10^{-19}C)$…

An electron (mass $9\times10^{-31}$ kg and charge $1.6\times10^{-19}C)$ moving with speed $c/100$ ( $c=$ speed of light) is injected into a magnetic field $\overline{B}$ of magnitude $9\times10^{-4}T$ perpendicular to its direction of motion. We wish to apply an uniform electric field $\vec{E}$ together with the magnetic field so that the electron does not deflect from … Read more

Consider a water tank shown in the figure. It has one wall at $x=L$ and can be taken to be very wide in the z direction. When filled with a liquid of surface tension S and density $\rho$, the liquid surface makes angle $\theta_{0}$ $(\theta_{0}\ll1)$ with the x-axis at $x=L.$ If $y(x)$ is the height of the surface then the equation for $y(x)$ is:

Consider a water tank shown in the figure. It has one wall at $x=L$ and can be taken to be very wide in the z direction. When filled with a liquid of surface tension S and density $\rho$, the liquid surface makes angle $\theta_{0}$ $(\theta_{0}\ll1)$ with the x-axis at $x=L.$ If $y(x)$ is the height … Read more