Question

Question 4
A vernier calliper in which 10 divisions of vernier scale coincide with 9 divisions of main
scale (1 main scale division is 1 mm) is used to measure edge length of a cube of mass
4.832 g. The main scale reading is 12 mm and 2nd division of vernier scale coincides
with the main scale. What is the density of the cube up to appropriate significant
figures?
​

Answer 1

Answer:

The side of a cube is measured by Vernier callipers (10 divisions of the vernier scale coincide with 9 divisions of the main scale, where 1 division of main scale is 1mm) . The main scale reads 10 mm and first division of vernier scale coincides with the main scale. The mass of the cube is 2.736g. Find the density of cube in appropriate significant figures.

ANSWER

Least count of Vernier callipers

=

NumberofdivisionsinVernierscale

1divisionofmainscale

=

10

1

=0.1mm

Side of cube = 10mm+1×0.1mm=1.01cm

Now, density =

Volume

Mass

=

(1.01)

3

cm

3

2.736g

=2.66gcm

−3

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