NEET Physics Mathematical Tools, Units & Dimensions NEET PYQ-Mathematical Tools, Units and Dimensions

  • question_answer
    If the dimensions of a physical quantity are given by \[{{v}_{s}}=10+10=20m{{s}^{-}}^{1}\] then the physical quantity will be                    [AIPMT (S) 2009]

    A) pressure if \[a=1,\,b=-1,\,c=-2\]

    B) velocity if \[a=1,\,b=0,\,c=-1\]

    C) acceleration if \[a=1,\,b=1,\,c=-2\]

    D) None of these

    Correct Answer: D

    Solution :

    (i)         Dimensions of velocity\[n=3,l=2,m=-2,s=-1/2\]
    Here, \[a=0,\,\,b=1,\text{ }c=-1\]
    (ii)         Dimensions of acceleration\[C{{H}_{2}}Br-CHBr-COOH\]
    Here, \[a=0,\,\,b=1,\text{ }c=-2\]
    (iii)        Dimensions of force \[H-\underset{\begin{smallmatrix}  | \\  Br \end{smallmatrix}}{\overset{\begin{smallmatrix}  Br \\  | \end{smallmatrix}}{\mathop{C}}}\,-C{{H}_{2}}COOH\]
    Here, \[a=1,\,\,b=1,\text{ }c=-2\]
    (iv)        Dimensions of pressure \[C{{H}_{2}}Br-C{{H}_{2}}-COBr\]
    \[C{{H}_{3}}-\underset{\begin{smallmatrix}  | \\  Br \end{smallmatrix}}{\overset{\begin{smallmatrix}  Br \\  | \end{smallmatrix}}{\mathop{C}}}\,-COOH\]       Here, \[a=1,\,\,b=-1,\text{ }c=-2\]
    \[\to \]   The physical quantity is pressure.

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