General Physics Question 18

Question 18

  1. The edge of a cube is measured using a vernier caliper. (9 divisions of the main scale is equal to 10 divisions of vernier scale and 1 main scale division is 1 mm ). The main scale division reading is 10 and 1 division of vernier scale was found to be coinciding with the main scale. The mass of the cube is 2.736 g. Calculate the density in g/cm3 upto correct significant figures.

(2005, 2M)

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Answer:

Correct Answer: 19. (2.66 g/cm3)

Solution:

1MSD=1 mm 9MSD=10VSD

Least count,

LC=1MSD1VSD=1 mm910 mm=110 mm

Measure reading of edge = MSR + VSR (LC)

=10+1×110=10.1 mm

Volume of cube, V=(1.01)3 cm3=1.03 cm3

[After rounding off upto 3 significant digits, as edge length is measured upto 3 significant digits]

Density of cube =2.7361.03=2.6563 g/cm3

=2.66 g/cm3

(After rounding off to 3 significant digits)



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