In tangent galvanometer generally for more accuracy deflection of galvanometer should be taken in range of

Options

A. `10^(@) ` to `30^(@)`
B. `60^(@)` to `75^(@)`
C. `75^(@)` to `90^(@)`
D. `30^(@)` to `60^(@)`

Answer

To solve the question regarding the optimal deflection range for a tangent galvanometer, we can follow these steps:

### Step 1: Understand the Function of a Tangent Galvanometer
A tangent galvanometer is an instrument used to measure the strength of an electric current by observing the deflection of a magnetic needle in a magnetic field created by the current.

**Hint:** Recall that the deflection of the needle is related to the angle it makes with the magnetic field.

### Step 2: Identify the Relationship Between Angle and Accuracy
The accuracy of the galvanometer readings is influenced by the angle of deflection. As the angle increases, the resolution of the galvanometer also increases, leading to more accurate measurements.

**Hint:** Consider how the tangent function behaves as the angle changes.

### Step 3: Determine the Optimal Angle Range
For maximum accuracy, the deflection should be taken in a specific range. It is known that the resolution is maximum and the percentage error is minimum at around 45 degrees. However, to ensure accuracy, a practical range is often considered.

**Hint:** Think about the angles that are close to 45 degrees but still ensure good accuracy.

### Step 4: Conclude the Optimal Range
Based on the analysis, the optimal deflection range for the tangent galvanometer is typically between 30 degrees and 60 degrees. This range allows for a good balance between resolution and error.

**Hint:** Remember that this range is chosen to avoid very small or very large angles, which can lead to inaccuracies.

### Final Answer
In a tangent galvanometer, for more accuracy, the deflection should be taken in the range of **30 degrees to 60 degrees**.

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