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NEET 2009
Exam
NEET
Year
2009
Subject
Physics
Chapter
Units and Dimensions

NEET 2009 · Physics · Units and Dimensions

If the dimensions of a physical quantity are given by [M^ a L^ b T^...

If the dimensions of a physical quantity are given by [MaLbTc]\left[\mathrm{M}^{\mathrm{a}} \mathrm{L}^{\mathrm{b}} \mathrm{T}^{\mathrm{c}}\right], then the physical quantity will be :

Options

  1. AForce if a=0,b=−1,c=−2a=0, b=-1, c=-2
  2. BPressure if a=1, b=−1,c=−2\mathrm{a}=1, \mathrm{~b}=-1, \mathrm{c}=-2
  3. CVelocity if a=1,b=0,c=−1a=1, b=0, c=-1
  4. DAcceleration if a=1,b=1,c=−2a=1, b=1, c=-2

Correct answer

B. Pressure if a=1, b=−1,c=−2\mathrm{a}=1, \mathrm{~b}=-1, \mathrm{c}=-2

Step-by-step solution

[P]=FA=[MLT−2 L2]=[ML−1 T−2][\mathrm{P}]=\frac{\mathrm{F}}{\mathrm{A}}=\left[\frac{\mathrm{MLT}^{-2}}{\mathrm{~L}^2}\right]=\left[\mathrm{ML}^{-1} \mathrm{~T}^{-2}\right]
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