Skip to content
Philoid
Browse Saved
Back to chapter
Physics
1. Introduction to Physics
Home · Class 11 · Physics · Ref. Book · 1. Introduction to Physics
Prev
Next
Q2 of 35 Page 8

What are the dimensions of:

A. volume of a cube of edge a,


B. volume of a sphere of radius a,


C. the ratio of the volume of a cube of edge a to the volume of a sphere of radius a?


A. Volume of cube of edge a = a3


π is dimension less


∴ Dimension is L3


B. Volume of a sphere of radius a =


π is dimensionless


∴ Dimension is L3


C. The ratio of the volume of a cube of edge a to the volume of the sphere of radius



∴ this is dimensionless


More from this chapter

All 35 →
1

The meter is defined as the distance travelled by light in second. Why didn’t people choose some easier number such as second ? Why not 1 second?

3

Suppose you are told that the linear size of everything in the universe has been doubled overnight. Can you test this statement by measuring sizes with a meter stick? Can you test it by using the fact that the speed of light is a universal constant and has not changed? What will happen if all the clocks in the universe also start running at half the speed?

4

If all the terms in an equation have same units, is it necessary that they have same dimensions? If all the terms in an equation have same dimensions, is it necessary that they have same units?

5

If two quantities have same dimensions, do they represent same physical content?

Questions · 35
1. Introduction to Physics
1 2 3 4 5 6 7 1 2 3 4 5 6 1 2 3 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Back to chapter
ADVERTISEMENT
About Contact Privacy Terms
Philoid · 2026
  • Home
  • Search
  • Browse
  • Quiz
  • Saved