The region between the parallel plates of capacitor is filled with parallel layers of air and paper (of dielectric constant 4). The space between the plates is \(1 \mathrm{~mm}\) and the thickness of paper is \(0.75 \mathrm{~mm}\). The ratio of the voltage across air and paper is

The correct arrangement in increasing order of wavelength of X-rays, UV rays, microwave is

A tennis ball of mass \(m\) strikes a wall with a velocity \(v\) and retraces the same path. Calculate the change in momentum.

Light enters at an angle of incidence in a transparent rod of refractive index '\(n\)'. The least value of '\(n\)' for which the light once entered into it will not leave it through its lateral face whatsoever be the value of the angle of incidence is

The displacement \(x\) of a particle varies with time \(t, x=a e^{-p t}+b e^{q t}\), where \(a, b, p\) and \(q\) are positive constant. The velocity of the particle will

The heat required to increase the temperature of 4 moles of a mono-atomic ideal gas from \(273^{\circ} \mathrm{C}\) to \(473^{\circ} \mathrm{C}\) at constant volume is

When a body is earth connected, electrons from the earth flow into the body. This means, the body is

For the charge configuration shown here, which of the following is not true?

The correct decreasing order of negative electron gain enthalpy for \(\mathrm{C}, \mathrm{Ca}, \mathrm{Al}, \mathrm{F}\) and \(\mathrm{O}\) is

Match the coordination compounds in Column I having the given type of hybridisation of \(\mathrm{M}^{\mathrm{n}+}\) ion and magnetic moment as given in Column II.
\(\begin{array}{|l|l|l|l|} \hline & \text { Coordination compounds. } & & \text { Hybridisation \& Magnetic nature. } \\ \hline \text { A } & \mathrm{Ni}(\mathrm{CO})_4 & \text { P } & \mathrm{sp}^3, \quad \mu=5.92 \mathrm{BM} \\ \hline \text { B } & {\left[\mathrm{Ni}(\mathrm{CN})_4\right]^{2-}} & \text { Q } & \mathrm{sp}^3, \quad \mu=2.84 \mathrm{BM} \\ \hline \text { C } & {\left[\mathrm{Ni}(\mathrm{Cl})_4\right]^{2-}} & \text { R } & \mathrm{sp}^3, \quad \mu=0 \\ \hline \text { D } & {[\mathrm{MnBr}]^{2-}} & \text { S } & \mathrm{dsp}^2, \quad \mu=0 \\ \hline \end{array}\)

\(x^{2}+y^{2}-6 x-6 y+4=0\),
\(x^{2}+y^{2}-2 x-4 y+3=0\),
\(x^{2}+y^{2}+2 k x+2 y+1=0\). If the Radical centre of the above three circles exists, then which of the following cannot be the value of \(k\) ?

\(\int_{1}^{e} \log x d x=\)

\(\mathrm{SO}_{2}+2 \mathrm{H}_{2} \mathrm{~S} \longrightarrow 3 \mathrm{~S}+2 \mathrm{H}_{2} \mathrm{O}\). This equation represents preparation of sulphur sol by