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Chapter 1: Problem 63
Find the dimensions of \(\frac{B^{2}}{\mu_{o}}\) (A) \(M L^{2} T^{-2}\) (B) \(M L^{-1} T^{-1}\) (C) \(M L^{-2} T^{-2}\) (D) \(M L^{-1} T^{-2}\)
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A man is moving on his bike with \(54 \mathrm{kmh}^{-1}\). He takes a u-turn in \(10 \mathrm{~s}\) and continues to move with the some velocity. Find average acceleration during this time. (A) \(3.0 \mathrm{~ms}^{-2}\) (B) \(1.5 \mathrm{~ms}^{-2}\) (C) 0 (D) \(-1.5 \mathrm{~ms}^{-2}\)
Dimensions of \(\frac{1}{\mu_{0} \varepsilon_{0}}\), where symbols have their usual meaning are \([\mathbf{2 0 0 3}]\) (A) \(\left[L^{-1} T\right]\) (B) \(\left[L^{2} T^{2}\right]\) (C) \(\left[L^{2} T^{-2}\right]\) (D) \(\left[L T^{-1}\right]\)
Which of the following cannot be in equilibrium? (A) \(10 \mathrm{~N}, 10 \mathrm{~N}, 5 \mathrm{~N}\) (B) \(5 \mathrm{~N}, 7 \mathrm{~N}, 9 \mathrm{~N}\) (C) \(8 \mathrm{~N}, 4 \mathrm{~N}, 13 \mathrm{~N}\) (D) \(9 \mathrm{~N}, 6 \mathrm{~N}, 5 \mathrm{~N}\)
The torque of force \(\vec{F}=(2 \hat{i}-3 \hat{j}+4 \hat{k})\) newton acting at the point \(\vec{r}=(3 \hat{i}+2 \hat{j}+3 \hat{k})\) metre about origin is (in \(\mathrm{N}-\mathrm{m}\) ) (A) \(6 \hat{i}-6 \hat{j}+12 \hat{k}\) (B) \(17 \hat{i}-6 \hat{j}-13 \hat{k}\) (C) \(-6 \hat{i}+6 \hat{j}-12 \hat{k}\) (D) \(-17 \hat{i}+6 \hat{j}+13 \hat{k}\)
The length, width and thickness of a block are (100.0 \(\pm 0.1) \mathrm{cm},(10.00 \pm 0.01) \mathrm{cm}\) and \((1.000 \pm 0.001) \mathrm{cm}\) respectively. The maximum possible error in its volume will be (A) \(\pm 0.111 \mathrm{~cm}^{3}\) (B) \(\pm 0.012 \mathrm{~cm}^{3}\) (C) \(+0.03 \mathrm{~cm}^{3}\) (D) None of these
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