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A dimensionless quantity...

A dimensionless quantity

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The correct Answer is:
B
As `E=lambda/(2pi in_(0)r)`
so `V=lambda/(2pi in_(0))l_(n)r rArr W=lambda/(2pi in_(0))ln|r_(2)/r_(1)|`
`W=lambda/(2pi in_(0))ln (sqrt(2)/sqrt(1))+(2lambda)/(2pi in_(0))ln (sqrt(2)/sqrt(2))`
`=lambda/(2pi in_(0))ln2`
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ALLEN-BASIC MATHS-Exercise-02
  1. Which of the following does not have dimensions of force?

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  2. Which of the following is incorrect statement

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  3. A dimensionless quantity

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  4. A unitless quantity

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  5. Which of the following is incorrect statement

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  6. A pair of physical quantities having same dimensional formula is

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  7. The fundamental unit which has same power in the dimenssional formula ...

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  8. The ratio of one micron to one nanometre is

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  9. The equation of a wave is given by Y = A sin omega ((x)/(v) - k), wher...

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  10. Temperature can be expressed as a derived quantity in terms of any of ...

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  11. The time dependence of physical quantity p is given by p = p(0) exp (-...

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  12. The density of wood is 0.5 in CGS. system of units The corresponding v...

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  13. In a particular system, the unit of length, mass and time are chosen t...

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  14. Match List-I with List-II and select the correct answer by using the c...

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  15. Which of the following is not a unit of time?

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  16. Which of the following is the smallest unit?

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  17. Which relation is wrong ?

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  18. What is the dimensional formula of angular velocity?

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  19. If A and B are two physical quantities having different dimensions The...

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  20. The dimensional formula of product and quotient of two physical quanti...

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