Question
By explaining magnetic field lines, write their characteristics.

Answer

SELF

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Use Moseley's law with b = 1 to find the frequency of the $\text{K}_\alpha$ X-ray of La(Z = 57) if the frequency of the $\text{K}_\alpha$ X-ray of Cu(Z = 29) is known to be $1.88 \times 10^{18}Hz.$
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An infinite ladder is constructed with $1\Omega$ and $2\Omega$ resistors, as shown in the figure. (a) Find the effective resistance between the points A and B. (b) Find the current that passes through the $2\Omega$ resistor nearest to the battery.
The separation between the objective and the eyepiece of a compound microscope can be adjusted between 9.8cm to 11.8cm. If the focal lengths of the objective and the eyepiece are 1.0cm and 6cm respectively, find the range of the magnifying power if the image is always needed at 24cm from the eye.
$i.$ An ac source generating a voltage $V = V _0 \sin \omega t$ is connected to a capacitor of capacitance $C$ . Find the expression of the current I flowing through it. Plot a graph of $V$ and $I$ versus $\omega t$ to show that the current is $\frac{\pi}{2}$ ahead of the voltage.
$ii.$ A resistor of $200 \Omega$ and a capacitor of $15 \mu F$ are connected in series to a $220 V, 50 \ Hz$ ac source. Calculate the current in the circuit and the rms voltage across the resistor and the capacitor. Why the algebraic sum of these voltages is more than the source voltage?
In an agricultural experiment, a solution containing 1 mole of a radioactive material $\Big(\text{t}_{\frac{1}{2}}=14.3\text{ days}\Big)$ was injected into the roots of a plant. The plant was allowed 70 hours to settle down and then activity was measured in its fruit. If the activity measured was $1\mu\text{Ci},$ what per cent of activity is transmitted from the root to the fruit in steady state?
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Consider the D–T reaction (deuterium–tritium fusion)
$^2_1\text{H}+^3_1\text{H}\rightarrow^4_2\text{He}+\text{n} $
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