In a certain experiment if `(Q)/(P) = (1)/(10)` in `R` if `192Omega` if used we are getting deflection toward right at `193Omega` again toward rightr but at `194Omega` deflection is toward left the unknown resistance should lie between .

Options

A. `19.2` to `19.3Omega`
B. `19.3` to `19.4Omega`
C. `19` to `20.3Omega`
D. `19.4` to `19.5Omega`

Explanation

To solve the problem, we need to analyze the given information step by step.

### Step 1: Understand the relationship between the resistances
We are given that \(\frac{Q}{P} = \frac{1}{10}\). This implies that the ratio of the unknown resistance \(Q\) to the known resistance \(P\) is 1:10.

### Step 2: Use the known resistance \(R\)
We are given that \(R = 192 \, \Omega\). We will use this value to calculate the unknown resistance \(S\) based on the conditions provided.

### Step 3: Calculate the unknown resistance \(S\) for the first case
When \(R = 193 \, \Omega\), the deflection is towards the right. We can use the relationship \(S = \frac{Q}{P} \times R\) to find \(S\):
\[ S = \frac{1}{10} \times 193 = 19.3 \, \Omega \]

### Step 4: Calculate the unknown resistance \(S\) for the second case
When \(R = 194 \, \Omega\), the deflection is towards the left. We will again use the same relationship:
\[ S = \frac{1}{10} \times 194 = 19.4 \, \Omega \]

### Step 5: Determine the range of the unknown resistance
From the calculations, we find that the unknown resistance \(S\) lies between:
\[ 19.3 \, \Omega < S < 19.4 \, \Omega \]

### Conclusion
Thus, the unknown resistance should lie between \(19.3 \, \Omega\) and \(19.4 \, \Omega\).