The nuclear radius of a nucleus is proportional to the cube root of its mass number. Thus, we can use the following formula to calculate the approximate nuclear radius of 64Cu:
r(64Cu) = r(27Al) x (64(1/3))/(27(1/3))
Substituting the given values, we get:
r(64Cu) = 3.6 x (64(1/3))/(27(1/3)) r(64Cu) ≈ 4.5 Fermi
Therefore, the approximate nuclear radius of 64Cu is 4.5 Fermi.
The resistance of a metal wire at \( 20^\circ \text{C} \) is \( 1.05 \, \Omega \) and at \( 100^\circ \text{C} \) is \( 1.38 \, \Omega \). Determine the temperature coefficient of resistivity of this metal.
A student sets up the circuit as shown in the figure to find the value of unknown resistance X and records a set of readings of the voltmeter and the ammeter by using the rheostat.
3.
An electric field $\vec{E}$ is established across the ends of a cylindrical conductor of length L and area of cross-section A. Discuss how electrons attain an average velocity, independent of time. Hence, obtain a relation between current in the conductor and this ‘average velocity’ of electrons.
An astronomical telescope consists of two converging lenses.
One of them of large aperture and large focal length is called objective lens and the other one, of smaller focal length and smaller aperture is called the eyepiece.
It is used to see distant objects which are not seen clearly with naked eyes.
The image formed by the objective lens acts as an object for the eyepiece and the final image produced by the eyepiece is magnified.
5.
With the help of a labelled diagram, explain the principle, construction and working of an a.c. generator.
Capacitors are manufactured with certain standard capacitances and working voltages. However, these standard values may not be the ones that are actually needed in a particular application. Two or more capacitors can be grouped in series or in parallel to achieve desired capacitance and voltage. When connected in series, the total capacitance decreases while the voltage rating increases, whereas in parallel connections, the total capacitance increases and maintains the same voltage rating. A capacitor stores energy in the electric field between its plates and stored energy is proportional to the square of the voltage and capacitance $U = \frac{1}{2}CV^2$, where symbols have their usual meanings.
Two capacitors, one of $3 \ \mu$F and the other of $6 \ \mu$F, are connected in series in the circuit as shown in the figure, for a long time. }
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