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In order to measure the internal resistance \( r_1 \) of a cell of emf \( E \), a meter bridge of wire resistance \( R_0 = 50\,\Omega \), a resistance \( R_0/2 \), another cell of emf \( E/2 \) (internal resistance \( r \)) and a galvanometer \( G \) are used in a circuit, as shown in the figure. If the null point in found at \( l = 72 \,\text{cm} \), then the value of \( r_1 = \_\_\_\_ \,\Omega \).

In the circuit shown below, the switch \( S \) is connected to position \( P \) for a long time so that the charge on the capacitor becomes \( q_1 \, \mu\text{C} \). Then \( S \) is switched to position \( Q \). After a long time, the charge on the capacitor is \( q_2 \, \mu\text{C} \).

The magnitude of \( q_1 \) is _____.

In the circuit shown below, the switch \( S \) is connected to position \( P \) for a long time so that the charge on the capacitor becomes \( q_1 \, \mu\text{C} \). Then \( S \) is switched to position \( Q \). After a long time, the charge on the capacitor is \( q_2 \, \mu\text{C} \).

The magnitude of \( q_2 \) is _____.