To solve the question regarding the assertion and reason about the operation of a galvanometer and the keys involved, we can break it down into a step-by-step explanation:
### Step 1: Understand the Assertion
The assertion states that to locate the null deflection in a galvanometer, the battery key \( K_1 \) should be pressed first, followed by the galvanometer key \( K_2 \). This means that the battery should be connected to the circuit before the galvanometer is activated.
### Step 2: Understand the Reason
The reason provided explains that if the galvanometer key \( K_2 \) is pressed first, and then the battery key \( K_1 \) is pressed, the current will suddenly try to increase. This sudden change in current can induce a large back electromotive force (emf) in the galvanometer due to self-induction, which can potentially damage the galvanometer.
### Step 3: Analyze the Circuit
1. **Circuit Components**: The circuit consists of a battery (with key \( K_1 \)) and a galvanometer (with key \( K_2 \)).
2. **Inductance of the Galvanometer**: The galvanometer has an inductance \( L \), which means it can oppose changes in current due to self-induction.
### Step 4: Explain the Process
1. **Pressing \( K_1 \) First**: When \( K_1 \) is pressed first, the battery is connected, and the circuit is powered. The galvanometer is still open (not connected), so there is no current flowing through it.
2. **Pressing \( K_2 \) Second**: When \( K_2 \) is pressed after \( K_1 \), the galvanometer is connected to the circuit where a steady current is already established. This allows the galvanometer to measure the current without experiencing a sudden change, thus avoiding damage.
3. **If \( K_2 \) is Pressed First**: If \( K_2 \) is pressed first, the galvanometer will initially have zero current. When \( K_1 \) is pressed, the sudden increase in current will induce a back emf in the galvanometer due to its inductance. According to Lenz's law, this back emf will oppose the change in current, causing a significant deflection in the galvanometer pointer, which can lead to damage.
### Step 5: Conclusion
Both the assertion and reason are true, and the reason correctly explains why the assertion is necessary. Therefore, the correct conclusion is that pressing \( K_1 \) before \( K_2 \) is essential to prevent damage to the galvanometer.
### Final Answer
Both the assertion and reason are true, and the reason is a correct explanation of the assertion.
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