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Units And Measurement

Question
CBSEENPH11026133
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In a system of units if force (F), acceleration (A), and time (T) are taken as fundamental units, then the dimensional formula of energy is:

  • FA2T

  • FAT2

  • F2AT

  • FAT

Solution

B.

FAT2

Let energy E = Fx Ay T3

Writing the dimensions on both sides

M L2 T -2 =M  L T -2 x L T -2 y T 2M L2 T -2 =Mx Lx+y T -2x-2y+zOn comparing  both sides x =1x + y=1⇒  y = 2-x = 2 = 2-1 =1and   -2x - 2y +z = -2⇒  z = -2×1-2×1+z∴  Dimensional formula of energy     =F A T2

Some More Questions From Units and Measurement Chapter

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?

Can a physical quantity have two or more units? Give example.

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