The area (in sq. units) of the largest rectangle ABCD whose vertices A and B lie on the x-axis and vertices C and D lie on the parabola, y = x²–1 below the x-axis, is :

The value of current i₁ flowing from A to C in the circuit diagram is :

Consider two uniform discs of the same thickness and different radii R₁ = R and
R₂ = $$\alpha $$R made of the same material. If the ratio of their moments of inertia I₁ and I₂ , respectively, about their axes is I₁ : I₂ = 1 : 16 then the value of $$\alpha $$ is :

Orange light of wavelength 6000 $$ \times $$ 10^–10 m illuminates a single
slit of width 0.6 $$ \times $$ 10^–4 m. The maximum possible number of diffraction minima produced on both sides of the central maximum is ___________.