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Units and Measurement
Question
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What is the ratio of the masses of solid sphere and hollow sphere of equal radii so that radius of gyration is same about diameters?

Answer

The radius of gyration is independent of the mass but depends on upon the distribution of mass.
Therefore, solid sphere and hollow sphere of equal radii can never have an equal radius of gyration. This is because the distribution of mass in the solid and hollow sphere is different. The mass in a hollow sphere is concentrated at its periphery than at its centre. 

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Some More Questions From Units and Measurement Chapter

What is measurement?

What is the need of measurement?

Define physical quantity.

 

Give four examples of physical quantities.

Define unit.

What are the two main required characteristics of a unit?

Can we use same units for different physical quantities?

Can we use different units to measure same physical quantity?

To measure a physical quantity X, the unit U is repeatedly used for n times. What is the magnitude of physical quantity?

Does the numerical factor in the quantitative measurement depend on the system of unit used?