A physical quantity $x$ is related as $x = \sqrt{a}\ b^2 c^3 d^{-4}$. Relative errors in the quantities $a$, $b$, $c$ and $d$ are 2%, 1%, 3% and 4% respectively. Relative error in $x$ will be

If two vectors $\vec{A} = 4\hat{i} + n\hat{j} + 2\hat{k}$ and $\vec{B} = 2\hat{i} + 2\hat{j} - \hat{k}$ are mutually perpendicular to each other then value of 'n' is

A particle completes 2 revolutions in a circular path of radius 3 cm. The angular displacement of the particle will be (in radian)

A car is travelling at 40 m/s on a circular path of radius 40 m. It is increasing its speed at the rate of $2\ \text{m/s}^2$. Its net acceleration is (in $\text{m/s}^2$) nearly