If Young’s modulus of elasticity is $Y = \dfrac{2mg l^2}{5b t e}$, where ‘g’ is the acceleration due to gravity, ‘m’ is the mass, ‘l’ is the length, ‘b’ is the breadth, ‘t’ is the thickness and ‘e’ is the elongation, then the value of $k$ is
A 567 W bulb has a tungsten filament of length 40 cm and radius $\dfrac{2}{\pi}$ mm. If the radiation of the filament is 81% of that of a perfect black body, then the temperature of the filament is(Stefan's constant, $\sigma = 5.67 \times 10^{-8}$ W m$^{-2}$ K$^{-4}$)
In the given circuit, if the cell delivers maximum power to the circuit, then value of $R$ is
The figure shows a part of a circuit. The voltage across A and B is 4V. Then the voltages across 2 $\mu$F and 1.5 $\mu$F are respectively
Two equipotential surfaces A and B are separated by a distance x. The work done in moving a charge -q from A to B is (Assume $\varepsilon_0$ = permittivity of free space)
In the given circuit, the potential difference between B and D is zero. Then the value of the current I is