Step 1: Analyze the dimensions of the hole and the shaft
Hole dimensions:
The hole is given as \( 30^{+0.030}_{0.000} \) mm. This means:
- The hole's minimum size is 30.000 mm
- The hole's maximum size is 30.030 mm
Shaft dimensions:
The shaft is given as \( 30^{+0.020}_{-0.020} \) mm. This means:
- The shaft's minimum size is 29.980 mm
- The shaft's maximum size is 30.020 mm
Step 2: Analyze the fits
1. Clearance fit: Occurs when the maximum size of the shaft is smaller than the minimum size of the hole. Here, the shaft's max size (30.020 mm) is smaller than the hole's min size (30.000 mm), so there can be clearance.
2. Interference fit: Occurs when the minimum size of the shaft is larger than the maximum size of the hole. In this case, the shaft's min size (29.980 mm) is smaller than the hole's max size (30.030 mm), so there is no interference.
3. Transition fit: Occurs when a fit can result in either clearance or interference depending on exact dimensions. The hole's max size (30.030 mm) is larger than the shaft's min size (29.980 mm), and the hole's min size (30.000 mm) is smaller than the shaft's max size (30.020 mm). Hence, a transition fit is possible.
Thus, the correct answer is (C) transition fit.