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Units And Measurement

Question
CBSEENPH11020542
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Three identical spherical shells, each of mass m and radius r are placed as shown in the figure. Consider an axis XX', which is touching to two shells and passing through the diameter of the third shell. Moment of inertia of the system consisting of these three spherical shells about XX' axis is

  • 11/5 mr2

  • 3 mr2

  • 16/5 mr2

  • 4 mr2

Solution

D.

4 mr2

The total moment of inertia of the system is 

I = I1 +I2 +I3
Here comma space straight I subscript 1 space equals space 2 over 3 space mr squared straight I subscript 2 space equals space straight I subscript 3 space equals space 2 over 3 mr squared space plus mr squared space left square bracket space From space parallel space axis space theorem right square bracket space equals space 5 over 3 space mr squared space fro space eq space left parenthesis straight i right parenthesis space straight I space equals space 2 over 3 space mr squared space plus 2 space straight x space 5 over 3 space mr squared space equals mr squared open parentheses 2 over 3 plus 10 over 3 close parentheses straight I space equals space 4 mr squared

Some More Questions From Units and Measurement Chapter

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?

Is one unit sufficient to measure a physical quantity?

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