GATE 2021 PI – Question 19

Manufacturing Processes II · Machining · 1 mark · Multiple choice

Doubling cutting speed reduces turning-tool life to one-eighth. Find exponent n in Taylor’s law $VT^n=C$.

Show answer and explanation

Correct answer: (B) 1/3

Explanation

Equate the two conditions: $VT^n=2V(T/8)^n$. Thus 1 = 2/8ⁿ, so 8ⁿ = 2 and n = log₂2/log₂8 = **1/3, B**.

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