The figure shows the vertical section of a frictionless surface. $A$ block of mass $2 \, kg$ is released from position $A$. Its kinetic energy $(KE)$ as it reaches position $C$ is ............ $J$.

If the circle $x^2+y^2=a^2$ intersects the hyperbola $xy=c^2$ in four points $(x_i, y_i)$,for $i=1, 2, 3, 4$,then $y_1+y_2+y_3+y_4$ equals

Which of the following compounds will absorb the maximum quantity of heat when dissolved completely in the same amount of water? The heats of solution of these compounds at $25 \ ^\circ C$ in $kJ/mole$ of each solute is given in brackets.

When a capacitor is connected in series to an $LR$ circuit,the alternating current flowing in the circuit

$A$ vibratory motion is represented by $x = 2A \cos \omega t + A \cos (\omega t + \frac{\pi}{2}) + A \cos (\omega t + \pi) + \frac{A}{2} \cos (\omega t + \frac{3\pi}{2})$. The resultant amplitude of the motion is:

Sunken stomata are found in the leaves of