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प्रश्न
The main scale reading while measuring the thickness of a rubber ball using Vernier caliper is 7 cm and the Vernier scale coincidence is 6. Find the radius of the ball.
उत्तर
The reading of a Vernier caliper is given by:
Measured Length = Main Scale Reading (MSR) + (Vernier Coincidence (VC) × Least Count (LC))
Given:
- Main Scale Reading (MSR) = 7 cm
- Vernier Coincidence (VC) = 6
- Least Count (LC) is generally 0.01 cm (assuming typical calipers).
Step 1: Calculate the Measured Length
Measured Length = 7 + (6 × 0.01)
Measured Length = 7 + 0.06 = 7.06 cm
Step 2: Find the Radius
The diameter of the ball is 7.06 cm, so the radius is:
`"Radius" = "Diameter"/2 = 7.06/2 = 3.53 cm`
The radius of the ball is 3.53 cm.
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