A thin wire of length ' $L$ ' and linear mass density ' $m$ ' is bent into a circular ring (in $x-y$ plane) with centre ' $C$ ' as shown in figure. The moment of inertia of the ring about an axis $y y^{\prime}$ will be:

$\frac{3 m L^3}{8 \pi}$
$\frac{3 m L^3}{8 \pi^2}$
$\frac{3 m L^2}{8 \pi}$
$\frac{3 m L^2}{8 \pi^2}$
A galvanometer of resistance $100 \Omega$ gives full scale deflection for a current of 1 mA . It is converted into an ammeter of range $0-10 \mathrm{~A}$. The shunt required is:
$0.01 \Omega$
$0.10 \Omega$
$1.0 \Omega$
$0.001 \Omega$
In a metre bridge experiment (see figure), the positions of the cell, $E$, and galvanometer, $G$, are interchanged. We shall observe in the galvanometer:

Only the left-sided deflection
There will be no deflection irrespective of the position of the jockey
Only the right-sided deflection
Both right-sided and left-sided deflection and at balance point, no deflection
The peak value of an alternating current is 5 A and frequency is 60 Hz . How long will the current, starting from zero, take to reach the peak value?
$\frac{1}{120} \mathrm{~s}$
$\frac{1}{60} \mathrm{~s}$
$\frac{1}{30} \mathrm{~s}$
$\frac{1}{240} \mathrm{~s}$
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