Question

A soil has a discharge velocity of \( 6 \times 10^{-7} \, \text{m/s} \) and a void ratio of 0.5. Its seepage velocity is

• A. \( 18 \times 10^{-7} \, \text{m/s} \)
• B. \( 12 \times 10^{-7} \, \text{m/s} \)
• C. \( 6 \times 10^{-7} \, \text{m/s} \)
• D. \( 3 \times 10^{-7} \, \text{m/s} \)

Hint:

To calculate seepage velocity, use the formula \( v_s = \frac{v}{1 + e} \) where \( v \) is the discharge velocity and \( e \) is the void ratio.

Answer 1

The Correct Option is A

Seepage velocity is given by the formula: \[ v_s = \frac{v}{1 + e} \] Where: - \( v_s \) is the seepage velocity, - \( v \) is the discharge velocity, - \( e \) is the void ratio. Substitute the given values: \[ v_s = \frac{6 \times 10^{-7}}{1 + 0.5} = \frac{6 \times 10^{-7}}{1.5} = 18 \times 10^{-7} \, \text{m/s} \] Thus, the correct answer is \( 18 \times 10^{-7} \, \text{m/s} \).