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JEE PHYSICS MCQ: UNITS & MEASUREMENTS

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Volume of liquid flowing per second through a capillary tube is given by V=K[x2−x1]4[y2−y1]\mathrm{V}=\frac{\mathrm{K}\left[\mathrm{x}_2-\mathrm{x}_1\right]^4}{\left[\mathrm{y}_2-\mathrm{y}_1\right]} where x1x_1 and x2x_2 are inner and outer radii and y2y_2 and y1y_1 are positions crossed by the liquid. The dimensional formula for K\mathrm{K} is :-
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Correct option: D
M0 L0 T−1\mathrm{M}^0 \mathrm{~L}^0 \mathrm{~T}^{-1}
Option D (M0L0T−1\mathrm{M}^0 \mathrm{L}^0 \mathrm{T}^{-1}) is correct because it is derived from the dimensional analysis of the given equation for the volume flow rate.

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