This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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Answer
3.08 cm
Step 1: Read the main scale. The zero mark on the vernier scale is past the mark on the main scale but has not reached the mark. The main scale reading is .
Step 2: Read the vernier scale. Identify the mark on the vernier scale that aligns perfectly with any mark on the main scale. The 8th mark on the vernier scale aligns with a mark on the main scale. Each division on the vernier scale represents . The vernier scale reading is .
Step 3: Calculate the total reading. Total reading = Main scale reading + Vernier scale reading
The reading shown on the scale of the vernier calipers is .
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Read the main scale. The zero mark on the vernier scale is past the 3.0 cm mark on the main scale but has not reached the 3.1 cm mark.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.