Let $X \sim B\left(6, \dfrac{1}{2}\right)$. Then the maximum probability occurs at

The period of oscillation of a simple pendulum is $T = 2\pi (L/g)^{1/2}$. Measured value of 'L' is 10 cm known to 1 mm accuracy and time for 100 oscillations is 50 second, using a watch of 1 second resolution. The percentage error in the measurement of 'g' is

The vector sum of the two forces $\vec{A}$ and $\vec{B}$ is perpendicular to their vector difference. Hence forces $\vec{A}$ and $\vec{B}$ are

According to Boyle's law, the product PV remains constant. The SI unit of PV is same as that of