In an interference experiment, the phase difference between the waves reaching a first dark point is
zero
$\pi^{\mathrm{c}}$
$\left(\frac{3 \pi}{2}\right)^{\mathrm{c}}$
$(2 \pi)^c$
The magnetic field at the centre of a current carrying circular coil of area ' $A$ ' is ' $B$ '. The magnetic moment of the coil is $x$ times $\left(2 B / \mu_0\right)$. The value of $x$ is ( $\mu_0=$ permeability of free space)
$\left(\frac{\mathrm{A}}{\pi^2}\right)^{\frac{1}{3}}$
$\left(\frac{\pi^3}{A^3}\right)^{\frac{1}{2}}$
$\left(\frac{\pi^2}{\mathrm{~A}^2}\right)^{\frac{1}{3}}$
$\left(\frac{A^3}{\pi}\right)^{\frac{1}{2}}$
A capacitor of capacitance ' C ' is connected across a.c. source of voltage V as $\mathrm{V}=\mathrm{V}_0 \sin \omega \mathrm{t}$. The displacement current between the plates of the capacitor would be
$V_0 \omega C \cos \omega t$
$\frac{V_0}{\omega C} \sin \omega t$
$\frac{V_0}{\omega C} \cos \omega t$
$\mathrm{V}_0 \omega \mathrm{C} \sin \omega \mathrm{t}$
The series limit for the frequency of Balmer series is ' $\mathrm{v}_{\mathrm{B}}$ ', then the series limit frequency of Paschen series ' $v_p$ ' is
$\quad \frac{2}{9} \mathrm{v}_{\mathrm{B}}$
$\quad \frac{9}{4} \mathrm{v}_{\mathrm{B}}$
$\frac{4}{9} \mathrm{v}_{\mathrm{B}}$
$\frac{2}{3} \mathrm{~V}_{\mathrm{B}}$
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