Which of the following rules states that it is impossible to determine simultaneously the exact position and exact momentum of an electron?

What is the molar conductivity at infinite dilution of \(\mathrm{CaCl}_{2}\), if the molar conductivity of \(\mathrm{Ca}^{2+}\) ion and \(\mathrm{Cl}^{-}\) ion at infinite dilution is 119 and \(71 \Omega^{-1} \mathrm{~cm}^{2}\) \(\mathrm{mol}^{-1}\)

Identify major product \(\mathrm{A}\) in following reaction. 3-Bromo-2-methylpentane \(\stackrel{\text { ak } \mathrm{KoH}}{\longrightarrow} \mathrm{A}\)

The pH of \(0.005 \mathrm{M} \mathrm{KOH}\) is 9.95. Calculate the \(\left[\mathrm{OH}^{-}\right]\)

For the first order reaction \(\mathrm{A} \rightarrow \mathrm{B}\), The rate constant is \(0 \cdot 25 \mathrm{~S}^{-1}\), if the concentration of \(\mathrm{A}\) is reduced to half, the value of rate constant will be

An ideal gas expands isothermally and reversibly from \(10 \mathrm{~m}^{3}\) to \(20 \mathrm{~m}^{3}\) at \(300 \mathrm{~K}\) performing \(5 \cdot 187 \mathrm{~kJ}\) of work on surrrounding. Calculate number of moles of gas undergoing expansion? \(\left(\mathrm{R}=8 \cdot 314 \mathrm{JK}^{-1} \mathrm{~mol}^{-1}\right.\) )

Which from following tests confirms presence of aldehydic group in glucose ?

The square roots of the complex number \((-5-12 \mathrm{i})\) are

The driver of a car travelling with a speed ' \(\mathrm{V}_1\) ' \(\mathrm{m} / \mathrm{s}\) towards a wall sounds a siren of frequency ' \(n\) ' Hz. If the velocity of sound in air is \(\mathrm{Vm} / \mathrm{s}\), then the frequency of sound reflected from the wall and as heard by the driver, in Hz , is

If \(x^{2} y^{2}=\sin ^{-1} \sqrt{x^{2}+y^{2}}+\cos ^{-1} \sqrt{x^{2}+y^{2}}\), then \(\frac{d y}{d x}=\)

A particle executing linear S.H.M has period 3 second and amplitude \(6 \mathrm{~cm}\). The time required by it to travel a distance of \(3 \mathrm{~cm}\) from positive extreme position is
\(\left[\sin 30^{\circ}=\cos 60^{\circ}=\frac{1}{2}, \sin 60^{\circ}=\cos 30^{\circ}=\frac{\sqrt{3}}{2}\right]\)

When the observer moves towards a stationary source with velocity \(\mathrm{V}_{1}\), the
apparent frequency of emitted note is \(\mathrm{F}_{1}\). When observer moves away from the
source with velocity \(\mathrm{V}_{1}\), the apparent frequency is \(\mathrm{F}_{2}\). If \(\mathrm{V}\) is the velocity of sound in
air and \(\mathrm{F}_{1} / \mathrm{F}_{2}=2\) then \(\mathrm{V} / \mathrm{V}_{1}\) is equal to

If \(\bar{x}=\frac{\overline{\mathrm{b}} \times \overline{\mathrm{c}}}{[\overline{\mathrm{a}} \overline{\mathrm{b}} \overline{\mathrm{c}}]}, \bar{y}=\frac{\overline{\mathrm{c}} \times \overline{\mathrm{a}}}{[\overline{\mathrm{a}} \overline{\mathrm{b}} \overline{\mathrm{c}}]}\) and \(\overline{\mathrm{z}}=\frac{\overline{\mathrm{a}} \times \overline{\mathrm{b}}}{[\overline{\mathrm{a}} \overline{\mathrm{b}} \overline{\mathrm{c}}]}\) where \(\overline{\mathrm{a}}, \overline{\mathrm{b}}, \overline{\mathrm{c}}\) are non-coplanar vectors, then value of \(\bar{x} \cdot(\overline{\mathrm{a}}+\overline{\mathrm{b}})+\bar{y} \cdot(\overline{\mathrm{~b}}+\overline{\mathrm{c}})+\overline{\mathrm{z}} \cdot(\overline{\mathrm{c}}+\overline{\mathrm{a}})\) is