
- Circuit Arrangement for Studying V-I Characteristics of a p-n Junction Diode: The circuit consists of a power supply connected in series with the p-n junction diode and a variable resistor. A voltmeter is connected across the diode to measure the voltage, and an ammeter is connected in series to measure the current.
- Shape of the Characteristics of a Diode: The V-I characteristics of a diode show a sharp increase in current once the forward voltage exceeds a certain threshold (approximately 0.7V for silicon). In reverse bias, the current remains very small until breakdown occurs at a high reverse voltage.
- Two Information from the Characteristics: 1. The threshold voltage (or cut-off voltage) at which the diode starts to conduct in the forward direction. 2. The reverse saturation current, which is the small current that flows when the diode is reverse biased and no significant conduction occurs. Thus, the V-I characteristics provide information about the diode's forward threshold and its behavior under reverse bias.
The graph shows the variation of current with voltage for a p-n junction diode. Estimate the dynamic resistance of the diode at \( V = -0.6 \) V.

Assertion (A): We cannot form a p-n junction diode by taking a slab of a p-type semiconductor and physically joining it to another slab of an n-type semiconductor.
Reason (R): In a p-type semiconductor, \( n_e \gg n_h \) while in an n-type semiconductor \( n_h \gg n_e \).
| Time (Hours) | [A] (M) |
|---|---|
| 0 | 0.40 |
| 1 | 0.20 |
| 2 | 0.10 |
| 3 | 0.05 |
Following is the extract of the Balance Sheet of Vikalp Ltd. as per Schedule-III, Part-I of Companies Act as at $31^{\text {st }}$ March, 2024 along with Notes to accounts:
Vikalp Ltd.
Balance Sheet as at $31^{\text {st }}$ March, 2024
| Particulars | Note No. | $31-03-2024$ (₹) | $31-03-2023$ (₹) |
| I. Equity and Liabilities | |||
| (1) Shareholders Funds | |||
| (a) Share capital | 1 | 59,60,000 | 50,00,000 |
‘Notes to accounts’ as at $31^{\text {st }}$ March, 2023:
| Note | Particulars | $31-3-2023$ (₹) |
| No. | ||
| 1. | Share Capital : | |
| Authorised capital | ||
| 9,00,000 equity shares of ₹ 10 each | 90,00,000 | |
| Issued capital : | ||
| 5,00,000 equity shares of ₹ 10 each | 50,00,000 | |
| Subscribed capital : | ||
| Subscribed and fully paid up | ||
| 5,00,000 equity shares of ₹ 10 each | 50,00,000 | |
| Subscribed but not fully paid up | Nil | |
| 50,00,000 |
‘Notes to accounts’ as at $31^{\text {st }}$ March, 2024:
| Note | Particulars | $31-3-2024$ (₹) |
| No. | ||
| 1. | Share Capital : | |
| Authorised capital | ||
| 9,00,000 equity shares of ₹ 10 each | 90,00,000 | |
| Issued capital : | ||
| 6,00,000 equity shares of ₹ 10 each | 60,00,000 | |
| Subscribed capital : | ||
| Subscribed and fully paid up | ||
| 5,80,000 equity shares of ₹ 10 each | 58,00,000 | |
| Subscribed but not fully paid up | ||
| 20,000 equity shares of ₹ 10 each, | ||
| fully called up | 2,00,000 | |
| Less : calls in arrears | ||
| 20,000 equity shares @ ₹ 2 per share | 40,000 | |
| 59,60,000 |
