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An experiment is conducted to measure the length of a rod using vernier calipers. The main scale reading is M=5.2\ cm, and the vernier scale reading is 9th divison. The least count of the vernier calipers is 0.01\ cm. Calculate the length of the rod.

Option: 1

52.9\ cm


Option: 2

5.29\ mm


Option: 3

5.29\ cm


Option: 4

0.529\ cm


Answers (1)

best_answer

Given values:

  • Main scale reading (M)=5.2\ cm
  • Vernier scale reading (V)=9
  • Least count of the vernier calipers 0.01\ cm

The total reading on the vernier calipers can be calculated by adding the
main scale reading and the vernier scale reading:
Total reading =M+V
Step 1: Calculate the total reading on the vernier calipers:
Total reading = 5.2 \ cm + 9 \times LC

The least count of the vernier calipers is 0.01\ cm, which means that one
division on the vernier scale corresponds to 0.01\ cm.
The number of vernier divisions can be calculated by finding the division on
the vernier scale that aligns with a division on the main scale.
Step 3: Calculate the length of the rod using the actual reading: Length of
rod = 5.2 + 9 \times 0.01\ cm= 5.29\ cm
So, length of rod is 5.29\ cm
So. correct option is C

Posted by

rishi.raj

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