Let's solve the question step by step. ### Given Data - **Bearing internal diameter:** \( 50^{+.07}_{-.03} \) mm - **Shaft diameter:** \( 50^{+.03}_{-.02} \) mm We are to find the **minimum and maximum clearances**. --- ### Step 1: Calculate Maximum and Minimum Diameters #### Bearing (Hole) - **Maximum diameter:** \( 50 + .07 = 50.07 \) mm - **Minimum diameter:** \( 50 - .03 = 49.97 \) mm #### Shaft - **Maximum diameter:** \( 50 + .03 = 50.03 \) mm - **Minimum diameter:** \( 50 - .02 = 49.98 \) mm --- ### Step 2: Calculate Clearances Clearance = Bearing Internal Diameter - Shaft Diameter #### **Maximum Clearance** - Maximum clearance = Maximum bearing diameter - Minimum shaft diameter - \( = 50.07 - 49.98 = .09 \) mm #### **Minimum Clearance** - Minimum clearance = Minimum bearing diameter - Maximum shaft diameter - \( = 49.97 - 50.03 = -.06 \) mm (which means there is an **interference**, NOT clearance) But the question asks for the minimum and maximum **clearances** (not interference fits), so let's check the options: --- ### Step 3: Match with Options The closest answer based on calculations and given options: - .1 mm and .45 mm - .1 mm and .35 mm - .45 mm and .1 mm - None of the above None of these options match the calculated values. **So, the correct answer is:** ## **None of the above** --- ### Summary Table | Clearance | Value | |-----------------|-----------| | Maximum | .09 mm | | Minimum | -.06 mm | (Interference) --- **Correct Option:** ### None of the above --- Let me know if you want a step-by-step explanation!