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1.Units, Dimensions and Measurement
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જો $A$ અને $B$ બે અલગ અલગ પારિમાણિક સૂત્ર ધરાવતી ભૌતિક રાશિ હોય તો નીચે પૈકી કયું ભૌતિક રાશિ દર્શાવતુ નથી?
A
$A + \frac{{{A^3}}}{B}$
B
$\exp \,\left( { - \frac{A}{B}} \right)$
C
$AB^2$
D
$\frac{A}{{{B^4}}}$
Solution
For $(1)$$: \mathrm{A}$ and $\frac{\mathrm{A}^{3}}{\mathrm{B}}$ may have same dimension.
For $( 2):$ As $A$ and $B$ have different dimen-
sion so $\exp \left(-\frac{\mathrm{A}}{\mathrm{B}}\right)$ is meaningless.
For $(3)$ $: \mathrm{AB}^{2}$ is meaningful.
For $4)$ $: \mathrm{AB}^{-4}$ is meaningful.
Standard 11
Physics
