STATEMENT 1: To avoid overlapping of signals different broadcasting stations use different channels to broadcast their signals
STATEMENT-2 A wide choice of channels has been made possible on account of modulation

Options

A. Statement-1 is True. Statement-2 is True
Statement-2 is a correct explanation for statement-1
B. Statement is True Statement-2 is True
Statement-2 is NOT a correct explanation for Statement-1
C. Statement-1 Is True Statement-2 is False
D. Statement-1 is False. Statement 2 is True

Answer

To analyze the given statements, we will evaluate each statement individually and then determine the relationship between them.

### Step 1: Analyze Statement 1
**Statement 1:** To avoid overlapping of signals, different broadcasting stations use different channels to broadcast their signals.

- Broadcasting stations transmit signals over specific frequency ranges. If two stations were to transmit on the same frequency, their signals would overlap, leading to interference and poor reception.
- To prevent this, broadcasting stations are assigned different channels (frequencies) within a designated frequency range. For example, in FM broadcasting, the frequency range is typically from 88 MHz to 108 MHz, with specific channels spaced apart to avoid interference.

**Conclusion for Statement 1:** This statement is true.

### Step 2: Analyze Statement 2
**Statement 2:** A wide choice of channels has been made possible on account of modulation.

- Modulation is the process of varying a carrier signal in order to transmit information. It allows the transmission of signals over a range of frequencies.
- By using modulation techniques, we can fit more signals into the same frequency range, effectively creating more channels. For instance, amplitude modulation (AM) and frequency modulation (FM) allow for different types of signals to be transmitted simultaneously without interference.
- The modulation process increases the effective bandwidth and allows for a greater number of channels within the available frequency range.

**Conclusion for Statement 2:** This statement is also true.

### Step 3: Determine the Relationship Between the Statements
- Both statements are true, but we need to assess whether Statement 2 correctly explains Statement 1.
- Statement 1 explains the necessity of using different channels to avoid overlapping signals, while Statement 2 discusses how modulation enables a wider choice of channels.
- Although both statements are true, Statement 2 does not directly explain why different channels are used (which is to avoid overlapping), but rather explains how modulation allows for more channels to be available.

### Final Conclusion
Both statements are true, but Statement 2 does not correctly explain Statement 1. Therefore, the correct answer is that both statements are true, but Statement 2 does not explain Statement 1.