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What Is MC and AC?

Marginal cost is defined as the extra cost that is incurred to produce one additional unit of output. Average cost... View Article

Ship moving with velocity [latex]{{vec{V}}_{1}}=30hat{i}+50hat{j}[/latex]from position (0, 0) and ship B moving with velocity [latex]overrightarrow{{{V}_{2}}}=-10hat{i}[/latex]from position (80, 150). The time for minimum separation is

a. 2.6 b. 2.2 c. 2.4 d. None Answer: (a) approx \(\begin{array}{l}{{V}_{1}}=30\hat{i}+50\hat{j}\end{array} \) \(\begin{array}{l}r=-80\hat{i}-150\hat{j}\end{array} \) \(\begin{array}{l}{{V}_{2}}=-10\hat{i}\end{array} \) \(\begin{array}{l}\vec{v} = 40i... View Article

Two particles are moving perpendicular to each other with de-Broglie wave length λ1 and λ2 if they collide and stick then the de-Broglie wave length of system after collision is:

a. \(\begin{array}{l}\lambda =\frac{{{\lambda }_{1}}{{\lambda }_{2}}}{\sqrt{\lambda _{1}^{2}+\lambda _{2}^{2}}}\end{array} \) b. \(\begin{array}{l}\lambda =\frac{{{\lambda }_{1}}}{\sqrt{\lambda _{1}^{2}+\lambda _{2}^{2}}}\end{array} \) c. \(\begin{array}{l}\frac{\sqrt{\lambda _{1}^{2}+\lambda _{2}^{2}}}{{{\lambda }_{2}}}\end{array}... View Article

Two identical containers of same emissivity containing liquids A & B at same temperature of 60°c initially and densities PA and PB respectively. Where, PA< PB. Which plot best represents the temperature variation of both with time? Given[latex]\left( \begin{matrix} {{S}_{A}}=100\frac{J}{kg-{{k}^{1}}} \\ {{S}_{B}}=2000\frac{J}{kg-k} \\ \end{matrix} \right)[/latex].

Answer: (b) \(\begin{array}{l}\frac{d\theta }{dt}=\frac{\theta eA\left( T_{0}^{m}-T_{0}^{A} \right)}{ms}\end{array} \) \(\begin{array}{l}\frac{d\theta }{dt}\alpha \frac{1}{ms}\end{array} \)

The switch is closed at t = 0. The time after which the rate of dissipation of energy in the resistor is equal to rate at which energy is being store in the inductor is:

a. \(\begin{array}{l}\ell n2\end{array} \) b. \(\begin{array}{l}{}^{1}/{}_{2}\ell n2\end{array} \) c.\(\begin{array}{l}{}^{1}/{}_{4}\ell n2\end{array} \) d. \(\begin{array}{l}2\ell n2\end{array} \) Answer: (a) \(\begin{array}{l}i=\frac{E}{R}(1-e^{-\frac{Rt}{L}})\end{array} \) \(\begin{array}{l}\frac{di}{dt}=\frac{E}{L}e^{-\frac{t}{\tau... View Article