Correct Answer - Option 2 : decreases
Concept:
As the pinion to gear speed ratio(G) increases, the minimum number of teeth (t) on the pinion decreases.
Minimum Number of Teeth on the Wheel in Order to Avoid Interference:
\(T=\frac{{2{{\rm{A}}_{\rm{w}}}}}{{\sqrt {1 + \frac{1}{G}\left( {\frac{1}{G} + 2} \right){{\sin }^2}\phi } - 1\;}}\)
Minimum Number of Teeth on the Pinion in Order to Avoid Interference:
\(t=\frac{{2{{\rm{A}}_{\rm{p}}}}}{{\sqrt {1 + G\left( {G + 2} \right){{\sin }^2}\phi } - 1\;}}\)
therefore if G increases, t decreases.
