An unknown nucleus has a nuclear density of $2.29 \times 10^{17} \mathrm{~kg} / \mathrm{m}^3$ and mass of $19.926 \times 10^{-27} \mathrm{~kg}$. Its mass number $A$ is approximately:
(Take $R_0=1.2 \times 10^{-15} \mathrm{~m}, 4 \pi=12.56$ )
12
20
16
19
Savitha, a XI standard student, while conducting an experiment to determine the effective length of a simple pendulum $L$, notes down the data of time taken to complete 30 oscillations as 60 s and hence calculates the length of the simple pendulum as: (Take $\pi^2=9.8$, and $g=9.8 \mathrm{~m} / \mathrm{s}^2$ )
0.75 m
1.5 m
2 m
1 m
An electric heater supplies heat to a system at a rate of 100 W . If the system performs work at a rate of $75 \mathrm{~J} / \mathrm{s}$, then the rate at which internal energy increases will be:
75 W
100 W
125 W
25 W
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:

$\frac{3 m L^3}{8 \pi}$
$\frac{3 m L^3}{8 \pi^2}$
$\frac{3 m L^2}{8 \pi}$
$\frac{3 m L^2}{8 \pi^2}$
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