A wire of silver has a resistance of 1 ohm. Specific resistance of constantan is 30 times the specific resistance of silver. Find the resistance of a constantan wire whose length is one third length of the silver wire and radius half the radius of the silver wire.

Explanation

To solve the problem, we will use the formula for resistance and the relationship between resistivity, length, and cross-sectional area.

### Step-by-Step Solution:

1. **Identify Given Values:**
- Resistance of silver wire, \( R_s = 1 \, \Omega \)
- Specific resistance (resistivity) of constantan, \( \rho_c = 30 \rho_s \)
- Length of constantan wire, \( L_c = \frac{1}{3} L_s \)
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