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Chapter 1: Problem 81

Write the unit of surface tension in SI system. (a) \(\left(\mathrm{N} / \mathrm{m}^{2}\right)\) (b) \((\mathrm{N} / \mathrm{m})\) (c) \(\left[\right.\) (dyne) \(\left./\left(\mathrm{cm}^{2}\right)\right]\) (d) \([(\) dyne \() /(\mathrm{cm})]\)

Short Answer

Expert verified
(b) \((\mathrm{N} / \mathrm{m})\)

Step by step solution

01

Identify the formula of surface tension

The formula for surface tension is given by: Surface Tension (T) = Force (F) / Length (L)
02

Determine the SI units of force and length

In the SI system: - Force is measured in Newtons (N) - Length is measured in meters (m)
03

Apply the SI units to the formula

Now, substitute the SI units into the formula: Surface Tension (T) = Force (F) / Length (L) T = (N) / (m)
04

Match the derived unit with the options given

The derived unit we found is (N/m), so the correct option is: (b) \((\mathrm{N} / \mathrm{m})\)

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Most popular questions from this chapter

The periodic time of simple pendulum is $\mathrm{T}=2 \pi \sqrt{(\ell / \mathrm{g})}\( relative error in the measurement of \)\mathrm{T}\( and \)\ell$ are \(\pm \mathrm{a}\) and \(\pm \mathrm{b}\) respectively find relative error in the measurement of \(g\) (a) \(a+b\) (b) \(2 \mathrm{~b}+\mathrm{a}\) (c) \(2 \mathrm{a}+\mathrm{b}\) (d) \(a-b\)

If $\mathrm{P}=\left[\left(\mathrm{A}^{2} \mathrm{~B}\right) /\left(\mathrm{C}^{3}\right)\right]\( where percentage error in \)\mathrm{A}, \mathrm{B}\( and \)\mathrm{C}$ are respectively \(\pm 2 \% \pm 3 \%\) and \(\pm 5 \%\) then total percentage error in measurement of \(\mathrm{p}\) (a) \(18 \%\) (b) \(14 \%\) (c) \(21 \%\) (d) \(12 \%\)

The area of a rectangle of size \(1.25 \times 2.245 \mathrm{~cm}\) in significant figure is ......... (a) \(2.80625 \mathrm{~cm}^{2}\) (b) \(2.81 \mathrm{~cm}^{2}\) (c) \(2.806 \mathrm{~cm}^{2}\) (d) \(2.8062 \mathrm{~cm}^{2}\)

Dimensional formula of \(\mathrm{CV}\) ? where C - capacitance and \(\mathrm{V}\) - potential difference (a) \(\mathrm{M}^{1} \mathrm{~L}^{-2} \mathrm{~T}^{4} \mathrm{~A}^{2}\) (b) \(\mathrm{M}^{1} \mathrm{~L}^{2} \mathrm{~T}^{-3} \mathrm{~A}^{1}\) (c) \(\mathrm{M}^{0} \mathrm{~L}^{0} \mathrm{~T}^{1} \mathrm{~A}^{-1}\) (d) \(\mathrm{M}^{0} \mathrm{~L}^{0} \mathrm{~T}^{1} \mathrm{~A}^{1}\)

The dimensional formula of plank's constant is ........... (a) \(\mathrm{M}^{3} \mathrm{~L}^{2} \mathrm{~T}^{-1}\) (b) \(\mathrm{M}^{1} \mathrm{~L}^{2} \mathrm{~T}^{-1}\) (c) \(\mathrm{M}^{2} \mathrm{~L}^{1} \mathrm{~T}^{-1}\) (d) \(\mathrm{M}^{1} \mathrm{~L}^{2} \mathrm{~T}^{-3}\)
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