Find the right condition(s) for Fraunhoffer difiraction due to a single slit.

Half of the space between the plates of a parallel-plate capacitor is filled with a dielectric material of dielectric constant \(K\). The remaining half contains air as shown in the figure. The capacitor is now given a charge \(Q\). Then

Two cells with the same e.m.f. \(E\) and different internal resistances \(r_1\) and \(r_2\) are connected in series to an external resistance \(R\). The value of \(R\) so that the potential difference across the first cell be zero is

In Young's double slit experiment, the fringe width is \(\beta\). If the entire arrangement is placed in a liquid of refractive index \(n\), the fringe width becomes :

A thin plastic sheet of refractive index 1.6 is used to cover one of the slits of a clouble slit arrangement. The central point on the scireen is now occupied by what would have been the 7th bright fringo before the plastic was used. If the wavelength of light is \(600 \mathrm{nm}\), what is the thickness (in \(\mu \mathrm{m}\) ) of the plastic sheet?

The decimal equivalent of the binary number \((11010.101)_2\) is

A body floats with \(\frac{1}{\mathrm{n}}\) of its volume keeping outside of water. If the body has been taken to height h inside water and released, it will come to the surface after time t. Then

In aluminium extraction by the Bayer process, alumina is extracted from bauxite by sodium hydroxide at high temperature and pressures :
\(\mathrm{Al}_2 \mathrm{O}_3(\mathrm{~s})+2 \mathrm{OH}^{-}(\mathrm{aq}) \rightarrow 2 \mathrm{Al}_2 \mathrm{O}_2(\mathrm{aq})+\mathrm{H}_2 \mathrm{O}(1)\)

Solid impurities such as \(\mathrm{Fe}_2 \mathrm{O}_3\) and \(\mathrm{SiO}_2\) are removed and then \(\mathrm{Al}(\mathrm{OH})_4^{-}\)is reprecipitated : \(2 \mathrm{Al}(\mathrm{OH})_4^{-} \rightarrow \mathrm{Al}_2 \mathrm{O}_3 \cdot 3 \mathrm{H}_2 \mathrm{O}(\mathrm{s})+2 \mathrm{OH}^{-}\)(aq) . In the industrial world :

p-nitro-N, N - dimethylaniline cannot be represented by the resonating structures

For the reaction \(S O_2+\frac{1}{2} O_2=S O_3\), if we write \(K_p=K_c(R T)^x\), then \(\mathrm{x}\) becomes

It is difficult to cook rice in an open vessel by boiling it at high altitudes because of

A hyperbola, having the transverse axis of length \(2 \sin \theta\) is confocal with the ellipse \(3 x^{2}+4 y^{2}=12\). It equation is

Two wires of same radius having lengths \(l_{1}\)
and \(I_{2}\) and resistivities \(\rho_{1}\) and \(\rho_{2}\) are connected in series. The equivalent resistivity will be