The resistance of an electrical toaster has a temperature dependence given by R(T) = R₀ [1 + $$\alpha $$(T − T₀)] in its range of operation. At T₀ = 300 K, R = 100 $$\Omega $$ and at T = 500 K, R = 120 $$\Omega $$. The toaster is connected to a voltage source at 200 V and its temperature is raised at a constant rate from 300 to 500 K in 30 s. The total work done in raising the temperature is :

To get an output of 1 from the circuit shown in figure the input must be :

Figure shows a network of capacitors where the numbers indicates capacitances in micro Farad. The value of capacitance C if the equivalent capacitance between point A and B is to be 1 $$\mu $$F is :

Consider a thin metallic sheet perpendicular to the plane of the paper moving with speed ‘v’ in a uniform magnetic field B going into the plane of the paper (See figure). If charge densities $$\sigma $$₁ and $$\sigma $$₂ are induced on the left and right surfaces, respectively, of the sheet then (ignore fringe effects) :