Physics

Figure shows a circuit that contains four identical resistors with resistance R = $2.0\Omega ,$  two identical inductors with inductance L = 2.0mH and an ideal battery with emf E = 9V. The current 'i' just after switch 'S' is closed will be:

On the basis of kinetic theory of gases, the gas exerts pressure because its molecules:

The electric field in a region is given by $\overrightarrow{E}=\left(\frac{3}{5}{E}_0\widehat{i}+\frac{4}{5}{E}_0\widehat{j}\right)\frac{N}{C}.$  The ratio of flux of reported field through the rectangular surface of are 0.2m² (parallel to y – z plane) to the of the surface of are 0.3m² (parallel to x – z plane) is a : b, where a = ……………

[Here $\widehat{i},\widehat{j}and\widehat{k}$  are the unit vectors along x, y and z – axes respectively]

A small bob tied at one end of a thin string of length 1m is describing a vertical circle so that the maximum and minimum tension in the string are in the ratio 5 : 1. The velocity of the bob at the highest position is ……………… m/s. (Take g = 10 m/s²)

A mono-atomic gas of mass 4.0u is kept in an insulated container. Container is moving with velocity 30 m/s. If container is suddenly stopped then change in temperature of the gas (R = gas constant) is $\frac{x}{3R}.$  Value of x is…………….

The potential energy (U) of a diatomic molecule is a function dependent on r (interatomic distance) as $U=\frac{\alpha }{r^{10}}-\frac{\beta }{r^5}-3$

Where, and are positive constants. The equilibrium between two atoms will be ${\left(\frac{2\alpha }{\beta }\right)}^{\frac{a}{b}},$ ${\frac{}{}}^{\frac{}{}}$ where a =……………. 

A coil of inductance 2H having negligible resistance is connected to a source of supply whose voltage is given by V = 3t volt. (where t is in second). If the voltage is applied when t = 0, the energy stored in the coil after 4s is…………… J.

512 identical drops of mercury are charged to a potential of 2V each. The drops are joined to form a single drop. The potential of this drop is ……………. V.

A transmitting station releases waves of wavelength 960m. A capacitor of 2.56 $\mu F$ is used in the resonant circuit. The self inductance of coil necessary for resonance is……………. * 10^-8 H.

The same size images are formed by a convex lens by a convex lens when the object is placed at 20cm or at 10cm from the lens. The focal length of convex lens is ……………cm.