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The number of significant figures in $3.78 \times 10^{22} \mathrm{~kg}$ is
| List-I | List-II |
| 1. \(\int \frac{\mathrm{sin}^{2} x}{\mathrm{cos}^{4} x} d x\)\(\int \frac{\mathrm{sin}^{2} x}{\mathrm{cos}^{4} x} d x\)int(sin^(2)x)/(cos^(4)x)dx | A. \(\quad \frac{\mathrm{tan}^{2} x}{2} + \mathrm{ln} | \mathrm{cos} x | + C\)\(\quad \frac{\mathrm{tan}^{2} x}{2} + \mathrm{ln} | \mathrm{cos} x | + C\)quad(tan^(2)x)/(2)+ln |cos x|+C |
| 2. \(\int \frac{\mathrm{sin}^{4} x}{\mathrm{cos}^{2} x} d x\)\(\int \frac{\mathrm{sin}^{4} x}{\mathrm{cos}^{2} x} d x\)int(sin^(4)x)/(cos^(2)x)dx | B. \(\mathrm{cos} x + \mathrm{sec} x + C\)\(\mathrm{cos} x + \mathrm{sec} x + C\)cos x+sec x+C |
| 3. \(\int \frac{\mathrm{sin}^{3} x}{\mathrm{cos}^{2} x} d x\)\(\int \frac{\mathrm{sin}^{3} x}{\mathrm{cos}^{2} x} d x\)int(sin^(3)x)/(cos^(2)x)dx | C. \(\frac{\mathrm{tan}^{3} x}{3} + C\)\(\frac{\mathrm{tan}^{3} x}{3} + C\)(tan^(3)x)/(3)+C |
| 4. \(\int \frac{\mathrm{sin}^{3} x}{\mathrm{cos}^{3} x} d x\)\(\int \frac{\mathrm{sin}^{3} x}{\mathrm{cos}^{3} x} d x\)int(sin^(3)x)/(cos^(3)x)dx | D. \(\mathrm{tan} x + \frac{\mathrm{sin} 2 x}{4} - \frac{3 x}{2} + C\)\(\mathrm{tan} x + \frac{\mathrm{sin} 2 x}{4} - \frac{3 x}{2} + C\)tan x+(sin 2x)/(4)-(3x)/(2)+C |
| E. \(\mathrm{cos} x - \mathrm{sec} x + C\)\(\mathrm{cos} x - \mathrm{sec} x + C\)cos x-sec x+C |
The enthalpies of formation of gaseous $\mathrm{N}_2 \mathrm{O}$ and NO at 298 K are 82.0 and $90.0 \mathrm{~kJ} \mathrm{~mol}^{-1}$ respectively. The enthalpy change of the reaction
$\mathrm{N}_2 \mathrm{O}(g)+\frac{1}{2} \mathrm{O}_2(g) \longrightarrow 2 \mathrm{NO}(g)$ is
A person walks in such a way that he covers equal distance in each step. The person takes 2 steps forwards towards east, then takes a right turn and
walks 4 steps towards south, then takes a right turn and walks 6 steps towards west and then takes a right turn and walks further. The direction of his final position after a total of 20 steps walk with respect to his initial position is
If $i=\sqrt{-1}$, then $(1+i)^{10}+(1-i)^{10}=$
Which of the following is only a redox reaction but not a disproportionation reaction?