Magnetic moment of revolving electron of charge (e) and mass (m) in terms of angular momentum (L) of electron is

Three vectors \(\vec{A}, \vec{B}\) and \(\vec{C}\) are such that \(\vec{A} \cdot \vec{B}=\vec{A} \cdot \vec{C}=0\), then \(\vec{A}\) is parallel to
\(\left[\cos 90^{\circ}=0\right]\)

A capacitor of capacity ' \(\mathrm{C}\) ' is charged to a potential ' \(\mathrm{V}\) '. It is connected in parallel to an inductor of inductance ' \(L\) '. The maximum current that will flow in the circuit is

A clock with iron pendulum keeps correct time at \(15^{\circ} \mathrm{C}\). If the room temperature is \(20^{\circ} \mathrm{C}\), the error in second per day will be nearly (coefficient of linear expansion of iron is \(\alpha=1.2 \times 10^{-5} /{ }^{\circ} \mathrm{C}\) )

Two bodies ' \(A\) ' and ' \(B\) ' start from the same point at the same instant and move along a straight line. 'A' moves with uniform acceleration ‘A’ and 'B' moves with uniform velocity (V). They meet after time ' \(t\) '. value of ' \(t\) ' is

Moving coil galvanometers \(\mathrm{M}_{1}\) and \(\mathrm{M}_{2}\) have resistance, number of turns, area of coil and magnetic field as follows.
\(\mathrm{R}_{1}=10 \Omega, \mathrm{R}_{2}=14 \Omega, \mathrm{N}_{1}=30, \mathrm{~N}_{2}=42\)
\(\mathrm{A}_{1}=3 \cdot 6 \times 10^{-3} \mathrm{~m}^{2}, \mathrm{~A}_{2}=1 \cdot 8 \times 10^{-2} \mathrm{~m}^{2},\) \(\mathrm{~B}_{1}=0 \cdot 25 \mathrm{~T}, \mathrm{~B}_{2}=0 \cdot 50 \mathrm{~T}\)
(Spring constants are same for both materials)
The ratio of (i) current sensitivity and (ii) voltage sensitivity for galvanometer
\(\left(\mathrm{M}_{2}\right.\) to \(\left.\mathrm{M}_{1}\right)\) is respectively

The frequency of a tuning fork is 256 Hz. It will not resonate with the tuning fork of frequency

What is the order of reactivity of alkyl halides with ammonia?

If in \(\triangle \mathrm{ABC}\), with usual notations, \(a \cdot \cos ^2 \frac{C}{2}+c \cos ^2 \frac{A}{2}=\frac{3 b}{2}\), then

If the lines \(\frac{\mathrm{x}-1}{2}=\frac{\mathrm{y}+1}{3}=\frac{\mathrm{z}-1}{4}\) and \(\frac{\mathrm{x}-3}{1}=\frac{\mathrm{y}-\mathrm{k}}{2}=\frac{\mathrm{z}}{1}\) intersect, then the values of \(\mathrm{k}\) is

What is the molar mass of solute if a solution is prepared by dissolving 4.5 gram solute in \(3 \mathrm{dm}^3\) water having osmotic pressure \(0.25 \mathrm{~atm}\) at \(300 \mathrm{~K}\)?
\(\left(\mathrm{R}=0.0821 \mathrm{dm}^3 \mathrm{~atm} \mathrm{~K} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}\right)\)

What are the products formed when \(\mathrm{Li}_2 \mathrm{CO}_3\) undergoes decomposition?

If the polar co-ordinates of a point are \(\left(\sqrt{2}, \frac{\pi}{4}\right)\), then its Cartesian co-ordinates are