From a building two balls $A$ and $B$ are thrown such that $A$ is thrown upwards and $B$ downwards (both vertically). If $v_{A}$ and $v_{B}$ are their respective velocities on reaching the ground, then
$v_A > v_B$
$v_A = v_B$
$v_A < v_B$
their velocities depend on their masses
Column $II$ gives certain systems undergoing a process. Column $I$ suggests changes in some of the parameters related to the system. Match the statements in Column $I$ to the appropriate process$(es)$ from Column $II$.
Column $I$ | Column $II$ |
$(A)$ The energy of the system is increased |
$(p)$ $System:$ A capacitor, initially uncharged $Process:$ It is connected to a battery |
$(B)$ Mechanical energy is provided to the system, which is converted into energy of random motion of its parts |
$(q)$ $System:$ A gas in an adiabatic container fitted with an adiabatic piston $Process:$ The gas is compressed by pushing the piston |
$(C)$ Internal energy of the system is converted into its mechanical energy |
$(r)$ $System:$ A gas in a rigid container $Process:$ The gas gets cooled due to colder atmosphere surrounding it |
$(D)$ Mass of the system is decreased |
$(s)$ $System:$ A heavy nucleus, initially at rest $Process:$ The nucleus fissions into two fragments of nearly equal masses and some neutrons are emitted |
$(t)$ $System:$ A resistive wire loop $Process:$ The loop is placed in a time varying magnetic field perpendicular to its plane |
A ball is released from a height of $10\, m$. If after the impact there is loss of $40\%$ in its energy, the ball shall rise upto- ................. $\mathrm{m}$
Power on $a$ mass is $P = (3t^2 -2t + 1)$ watt change in kinetic energy in $t = 2sec$ to $t = 4sec$ is :- .................... $\mathrm{J}$
A bullet of mass $10\, g$ moving horizontally with a velocity of $400\, m s^{-1}$ strikes a wood block of mass $2\, kg$ which is suspended by light inextensible string of length $5\, m.$ As a result, the centre of gravity of the block found to rise a vertical distance of $10\, cm.$ The speed of the bullet after it emerges out horizontally from the block will be ................... $\mathrm{ms}^{-1}$
Whether a split of water is a exothermic or a endothermic process ?