Physics

Orange light of wavelength $6000*{10}^{-10}\mathrm{m}$ illuminates a single slit of width $0.6*{10}^{-4}\mathrm{m}$ . the maximum possible number of diffraction minima produced on both sides of the central maximum is

Four resistance $40\mathrm{\Omega },60\mathrm{\Omega },90\mathrm{\Omega }$ , and $110\mathrm{\Omega }$ make the arms of a quadrilateral ABCD. Across $AC$ is a battery of emf  $40\mathrm{V}$ and internal resistance negligible. The potential difference across $BD$ in $V$ is

An alternating emf E = 440 sin 100t is applied to a circuit containing an inductance of $\frac{\sqrt[]{2}}{\pi }H.$ If an a.c. ammeter is connected in the circuit, its reading will be:

Two metallic wires of identical dimensions are connected in series. If ${\sigma }_{1}and{\sigma }_2$ are the conductivities of these wires respectively, the effective conductivity of the combination is:

The change in the magnitude of the volume of an ideal gas when a small additional pressure $\mathrm{\Delta }\mathrm{P}$ is applied at a constant temperature, is the same as the change when the temperature is reduced by a small quantity $\mathrm{\Delta }T$ at constant pressure. The initial temperature and pressure of the gas were $300\mathrm{K}$ and 2 atm. respectively. If $\left|\mathrm{\Delta }T\right|=C\left|\mathrm{\Delta }P\right|$ then value of $C$  in (K/atm) is .

Given below are two statements.

Statement I : Electric potential is constant within and at the surface of each conductor.

Statement II : Electric field just outside a charged conductor is perpendicular to the surface of the conductor at every point.

In the light of the above statements, choose the most appropriate answer from the options given below.

A spherically symmetric charge distribution is considered with charge density varying

as $\rho \left(r\right)=\{\begin{array}{cc}\hfill {\rho }_0\left(\frac{3}{4}-\frac{r}{R}\right)for\hfill & \hfill r\le R\hfill \\ \hfill zero\hfill & \hfill forr>R\hfill \end{array}$

Where, r(r < R) is the distance from the centre O (as shown in figure). The electric field at point P will be:

The distance between an object and a screen is $100\mathrm{c}\mathrm{m}$ . A lens can produce real image of the object on the screen for two different positions between the screen and the object.

The distance between these two positions is $40\mathrm{c}\mathrm{m}$ . If the power of the lens is close to $\left(\frac{\mathrm{N}}{100}\right)\mathrm{D}$ where $\mathrm{N}$ is an integer, the value of $\mathrm{N}$  is           

The time period of oscillation of a simple pendulum of length L suspended from the roof of a vehicle, which moves without friction down an inclined plane of inclination , is given by:

The speed verses time graph for a particle is shown in the figure. The distance travelled (in $\mathrm{m}$ ) by the particle during the time interval $\mathrm{t}=0$ to $\mathrm{t}=5\mathrm{s}$ will be $\dots .$ .