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T = 1/λ log a/(a−x) when t = T, x = a/2 T = 1/λ log a/(a−x) = 1/λ log 2 ⇒ λ = 1/T log 2

1. T = 1/λ log a/(a−x)
2. T = 1/λ log 2
3. λ = 1/T log 2
4. None of the above

Correct answer: λ = 1/T log 2

Solution

The given derivation shows that λ = 1/T log 2 is the correct relationship derived from the equation T = 1/λ log a/(a−x) when x = a/2. This matches option C.

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