JEE Main 2024 Solutions
JEE Main Physics (2024)

A particle is moving in one dimension (along $x$ axis) under the action of a variable force. Its initial position was 16 m right of origin. The variation of its position ($x$) with time ($t$) is given as $x = -3t^3 + 18t^2 + 16t$, where $x$ is in m and $t$ is in s. The velocity of the particle when its acceleration becomes zero is ________ m/s.

The displacement and the increase in the velocity of a moving particle in the time interval of $t$ to $(t + 1)$ seconds are 125 m and 50 m/s, respectively. The distance travelled by the particle in $(t + 2)^{\text{th}}$ second is ________ m.

The pressure and volume of an ideal gas related as $PV^{\frac{3}{2}} = K$ (Constant). The work done when the gas is taken from state A ($P_1, V_1, T_1$) to state B ($P_2, V_2, T_2$) is :

Two thermodynamical processes are shown in the figure. The molar heat capacity for process A and B are $C_A$ and $C_B$. The molar heat capacity at constant pressure and constant volume are represented by $C_P$ and $C_V$, respectively. Choose the correct statement.\n\n

$0.08\text{ kg}$ air is heated at constant volume through $5^\circ\text{C}$. The specific heat of air at constant volume is $0.17\text{ kcal/kg}^\circ\text{C}$ and $J = 4.18\text{ joule/cal}$. The change in its internal energy is approximately.

An object moves with speed $v_1, v_2$ and $v_3$ along a line segment AB, BC and CD respectively. If AB = BC and AD = 3AB, then the average speed of the object will be: