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AIIMS 201826 May
Exam
AIIMS
Year
2018
Date
26 May
Subject
Physics
Chapter
Units and Dimensions

AIIMS 2018 · 26 May · Physics · Units and Dimensions

Suppose a quantity y can be dimensionally represented in terms of...

Suppose a quantity yy can be dimensionally represented in terms of M,LM, L and T, that is [y]=[y]=\left[\mathrm{M}^a \mathrm{~L}^b \mathrm{~T}^c\right]thenthen\mathrm{M}

Options

  1. Amay be represented in terms of L,T\mathrm{L}, \mathrm{T} and yy if a=0a=0
  2. Bmay be represented in terms of L,T\mathrm{L}, \mathrm{T} and yy if a≠0a \neq 0
  3. Ccan always be dimensionally represented in terms of L, T and yy
  4. Dcan never be dimensionally represented in terms of L, T and yy.

Correct answer

B. may be represented in terms of L,T\mathrm{L}, \mathrm{T} and yy if a≠0a \neq 0

Step-by-step solution

M=L−ba T−cay1a\mathrm{M}=\mathrm{L}^{-\frac{b}{a}} \mathrm{~T}^{-\frac{c}{a}} y^{\frac{1}{a}} if a≠0a \neq 0
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