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Chapter 1: Problem 113
The significant figures in \(500.5000\) are \(\ldots \ldots \ldots \ldots \ldots\) (a) 5 (b) 3 (c) 7 (d) 6
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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) \(2.8062 \mathrm{~cm}^{2}\)
Equation of \(\ell_{1}=\ell_{0}\left[1+\alpha\left(\mathrm{T}_{2}-\mathrm{T}_{1}\right)\right]\) find out the dimensions of the coefficient of linear expansion \(\alpha\) suffix. (a) \(\mathrm{M}^{0} \mathrm{~L}^{0} \mathrm{~T}^{1} \mathrm{~K}^{1}\) (b) \(\mathrm{M}^{0} \mathrm{~L}^{1} \mathrm{~T}^{1} \mathrm{~K}^{1}\) (c) \(\mathrm{M}^{1} \mathrm{~L}^{1} \mathrm{~T}^{0} \mathrm{~K}^{1}\) (d) \(\mathrm{M}^{0} \mathrm{~L}^{0} \mathrm{~T}^{0} \mathrm{~K}^{-1}\)
100 picometer \(=\ldots \ldots \ldots \ldots\) (a) \(10^{-8} \mathrm{~cm}\) (b) \(10^{-7} \mathrm{~m}\) (c) \(10 \times 10^{-6} \mu \mathrm{m}\) (d) \(10 \times 10^{-8} \mu \mathrm{m}\)
The length of a rod is \((10.15 \pm 0.06) \mathrm{cm}\) what is the length of two such rods? (a) \((20.30 \pm 0.06) \mathrm{cm}\) (b) \((20.30 \pm 1.6) \mathrm{cm}\) (c) \((10.30 \pm 0.12) \mathrm{cm}\) (d) \((20.30 \pm 0.12) \mathrm{cm}\)
From $\left[\mathrm{p}+\left(\mathrm{a} / \mathrm{v}^{2}\right)\right](\mathrm{v}-\mathrm{b})=$ constant equation is dimensionally correct find the dimensional formula for \(\mathrm{b}\) ? where \(\mathrm{P}=\) pressure \(\mathrm{V}=\) volume (a) \(\mathrm{M}^{0} \mathrm{~L}^{3} \mathrm{~T}^{0}\) (b) \(\mathrm{M}^{1} \mathrm{~L}^{3} \mathrm{~T}^{0}\) (c) \(\mathrm{M}^{0} \mathrm{~L}^{1} \mathrm{~T}^{3}\) (d) \(\mathrm{M}^{1} \mathrm{~L}^{1} \mathrm{~T}^{-1}\)
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