The sensitivity of tangent galvanometer will be maximum if deflection in it is tending to`…………` and reading is accurate for `theta= ………………..`

Options

A. `0^(@),45^(@)`
B. `30^(@),0^(@)`
C. `45^(@),0^(@)`
D. `60^(@),45^(@)`

Answer

To solve the question regarding the sensitivity of a tangent galvanometer, we need to determine two specific values of the angle θ: one for maximum sensitivity and one for accurate reading.

### Step-by-Step Solution:

1. **Understanding the Tangent Galvanometer**:
- A tangent galvanometer is an instrument used to measure the horizontal component of the Earth's magnetic field. It operates on the principle that the magnetic field produced by a current-carrying coil can be compared to the Earth's magnetic field.

2. **Sensitivity of the Tangent Galvanometer**:
- The sensitivity of the tangent galvanometer is related to the angle of deflection (θ) of the needle. The relationship can be expressed as:
\[ \tan(\theta) = \frac{B_V}{B_H} \]
- Where \(B_V\) is the vertical component of the magnetic field and \(B_H\) is the horizontal component.

3. **Maximum Sensitivity Condition**:
- The sensitivity of the galvanometer is maximum when the deflection is minimal. This occurs when the angle θ approaches 0 degrees (i.e., no deflection). Thus, the first blank is filled with:
\[ \text{Deflection tending to } 0 \text{ degrees.} \]

4. **Accurate Reading Condition**:
- The reading of the galvanometer is considered accurate when the angle θ is 45 degrees. At this angle, the vertical and horizontal components of the magnetic field are equal, which simplifies the calculations and provides a reliable measurement. Thus, the second blank is filled with:
\[ \theta = 45 \text{ degrees.} \]

5. **Final Answer**:
- Therefore, the sensitivity of the tangent galvanometer will be maximum if deflection in it is tending to **0 degrees** and reading is accurate for **θ = 45 degrees**.

### Summary:
- The sensitivity of the tangent galvanometer is maximum at **0 degrees** deflection.
- The reading is accurate at **θ = 45 degrees**.