How many moles of CO can be obtained by reacting 2.0 mole of \( CH_{4} \) with 2.0 mole of \( O_{2} \) according to the equation given below?
\( CH_{4}(g) + \frac{1}{2}O_{2} \rightarrow CO + 2H_{2} \)
A particle moves with uniform acceleration along a straight line from rest. The percentage increase in displacement during sixth second compared to that in fifth second is about
If two miscible liquids of same volume but different densities \( \rho_{1} \) and \( \rho_{2} \) are mixed, then the density of the mixture is given by
The position vector of a particle is
\( \vec{r} = 2t^{2}\hat{x} + 3t\hat{y} + 4\hat{z} \)
Then the instantaneous velocity \( \vec{v} \) and acceleration \( \vec{a} \) respectively lie
Two persons are holding a rope of negligible mass horizontally. A 20 kg mass is attached to the rope at the midpoint; as a result the rope deviates from the horizontal direction. The tension required to completely straighten the rope is (\( g = 10 m/s^{2} \))