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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Units and Dimensions

NTA Abhyas 2020 · Physics · Units and Dimensions

Suppose a quantity can be dimensionally represented in terms M, L...

Suppose a quantity can be dimensionally represented in terms M,LandTM, L and T, that is \left[y\right] =\left[M^{a}L^{b}T^{c}\right]. The quantity mass

Options

  1. Amaybe represented in terms of L,TL, T and yy if a=0a = 0
  2. Bmaybe represented in terms of L,TL, T and yy if a≠0\text{a} \ne 0
  3. CCan always be dimensionally represented in terms of L,TL, T and yy
  4. DCan never be dimensionally represented in terms of L,TL, T and yy

Correct answer

B. maybe represented in terms of L,TL, T and yy if a≠0\text{a} \ne 0

Step-by-step solution

M=y1a.L−ba.T−caM= y\dfrac{1}{a}. L^{- \dfrac{b}{a}}. T^{- \dfrac{c}{a}}

where aa& should not be zero.
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