The resistance of a solution `A` is `50 ohm` and that of solution `B` is `100ohm,` both solutions are taken in the same conductivity cell. If equal volumes of solution`A` and `B` are mixed, what is the resistance of the mixture using the same cell ? `(` Assume there is no change or increase in the `prop` of `A` and `B` on mixing `)`.

Explanation

To find the resistance of the mixture when equal volumes of solutions A and B are mixed, we can follow these steps:

### Step-by-Step Solution:

1. **Identify Given Values**:
- Resistance of solution A, \( R_A = 50 \, \Omega \)
- Resistance of solution B, \( R_B = 100 \, \Omega \)

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