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As per Indian Standard Soil Classification System (IS: 1498 - 1970), an expression for A-line is

1. Iₚ = 0.73 (w_L - 20)
2. Iₚ = 0.70 (w_L - 20)
3. Iₚ = 0.73 (w_L - 10)
4. Iₚ = 0.70 (w_L - 10)

Correct answer: Iₚ = 0.73 (w_L - 20)

Solution

The correct option is based on the established formula for the A-line in the Indian Standard Soil Classification System, which accurately reflects the relationship between plasticity index and liquid limit, specifically using the coefficient 0.73 and the constant 20.

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