Advertisements
Advertisements
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.
Advertisements
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.
APPEARS IN
RELATED QUESTIONS
The wavelength of light of a particular colour is 5800 Å.
Express it in metre.
Name the two scales of a vernier callipers and explain how it is used to measure length correct up to 0.01 cm.
Is it possible to increase the degree of accuracy by mathematical manipulations? Support your answer by an example.
Up to how many decimal places can a common vernier callipers measure the length in cm?
State the correction if the positive error is 7 divisions when the least count is 0.01 cm.
State the correction if the negative error is 7 divisions when the least count is 0.01 cm.
What do you understand by the following term as applied to micrometre screw gauge?
Sleeve scale
The Wavelength of a particular colour is 5400Å. Express it in nanometer and metre.
Name the measuring employed to measure the diameter of a pencil.
State whether true or false. If false, correct the statement.
With the help of vernier caliper we can have an accuracy of 0.1 mm and with screw gauge we can have an accuracy of 0.01 mm.
