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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9

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. - Science

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Question

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.

Numerical

Solution

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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Vernier Callipers
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Chapter 1: Measurement - Exercise [Page 12]

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Samacheer Kalvi Science [English] Class 9 TN Board
Chapter 1 Measurement
Exercise | Q IX. 2. | Page 12
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