In the balanced equation of the following reaction, the ratio of $\mathrm{a}/\mathrm{b}$ is   ${\mathrm{aCaCO}}_3+{\mathrm{bH}}_3{\mathrm{PO}}_4\to {\mathrm{pCa}}_3{\left({\mathrm{PO}}_4\right)}_2+{\mathrm{qCO}}_2+{\mathrm{rH}}_2\mathrm{O}$

In the given reaction what is \(\mathrm{X}\) ?

Which one of the following has the highest molar conductivity?

Identify the correct statements from the folluwing (A) At 298 K, the potential of hydrogen electrode placed in a solution of \(\mathrm{pH}=10\), is -0.59 V (B) The limiting molar conductivity of \(\mathrm{Ca}^{2+}\) and \(\mathrm{Cl}^{-}\)is 119 and \(76 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}\) respectively. The limiting molar conductivity of \(\mathrm{CaCl}_2\) is \(195 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-\frac{1}{2}}\) (C) The correct relationship between \(\mathrm{K}_{\mathrm{c}}\) and \(\mathrm{E}_{\text {cell }}^0\) is \(\mathrm{E}_{\mathrm{ccll}}^{-}=\frac{2.303 \mathrm{RT}}{\mathrm{nF}} \log \mathrm{~K}_{\mathrm{c}}\)

The correct set of symbols of the molecular orbitals given below is

Assertion (A) \(\mathrm{Xe}\) atoms in \(\mathrm{XeF}_2\) are \(d^2 s p^3\) hybridised. Reason (R) \(\mathrm{XeF}_2\) molecule does not follow octet rule. Which of the following is correct?

Which one of the following corresponds to the wavelength of line spectrum of H atom in its Balmer series? ( \(\mathrm{R}=\) Rydberg constant)

In a Zener regulated power supply a Zener diode with \(V_z=6 \mathrm{~V}\) is used for regulation. The load current is \(4 \mathrm{~mA}\) and the unregulated input voltage is \(10 \mathrm{~V}\). To get a Zener current five times the load current the value of series resistor \(R_S\) is nearly

\(\int(\sqrt{\tan x}+\sqrt{\cot x}) d x=\)

If \(x^y=y^{\sin x}(\tan x)^{\cos x}\), then \(\left(\log x-\frac{\sin x}{y}\right) \frac{d y}{d x}=\)

If \(2^{4 n+3}+3^{3 n+1}\) is divisible by P for all natural numbers \(n\), then P is

An aeroplane flying with uniform speed horizontally one \(\mathrm{km}\) above the ground is observed at an elevation of \(60^{\circ}\). After \(10 \mathrm{~s}\) if the elevation is observed to be \(30^{\circ}\), then the speed of the plane (in \(\mathrm{km} / \mathrm{h}\) ) is

An open vessel containing air was heated from \(27^{\circ} \mathrm{C}\) to \(727^{\circ} \mathrm{C}\). Some air was expelled. What is the fraction of air remaining in the vessel? (Assume air as an ideal gas)