In figure, the variation of potential energy of a particle of mass $m=2kg$ is represented w.r.t its x-coordinate. The particle moves under the effect of the conservative force along the x-axis. Which of the following statements is incorrect about the particle?

If no external force acts on a system

A particle of mass m is projected from the ground with an initial speed $u_0$ at an angle $\alpha$ with the horizontal. At the highest point of its trajectory, it makes a completely inelastic collision with another identical particle, which was thrown vertically upward from the ground with the same initial speed $u_0.$ The angle that the composite system makes with the horizontal immediately after the collision is

Displacement-time curve of a particle moving along a straight line is shown. Tangents at $A$ and $B$ makes angle ${45}^{\circ }$ and ${135}^{\circ }$ with positive $x-axis$ respectively. The average acceleration of the particle during $t=1,t=2$ seconds is

Point $A$ of rod $AB\left(l=2m\right)$ is moved upwards against a wall with velocity $v=2m/s.$ Find angular speed of the rod at an instant when $\theta ={60}^{\circ }.$

In an adiabatic process 90 J of work is done on the gas. The change in internal energy of the gas is

5 mole of an ideal gas expand isothermally and irreversibly from a pressure of 10 atm to 1 atm against a constant external pressure of 1 atm. $w_{irr}$ at 300 K is :

The entropy change when 2 moles of an ideal monoatomic gas us subjective to change in state from $\left(1atm,10L\right)$ to $\left(2atm,5L\right)$ will be : $\left(In2=0.7\right)$

A running man has the same kinetic energy as that of a boy of half his mass. The man speed up by $2m{s}^{-1}$ and the body changes his speed by $xm{s}^{-1}$ so that the kinetic energies of the boy and the man are again equal. Then $x$ in $m{s}^{-1}$ is

Consider the reacting at $300K$
$C_6{H}_6\left(l\right)+\frac{15}{2}{O}_2\left(l\right)\to 6C{O}_2\left(g\right)+3H_{2}O\left(l\right),\Delta H=-3271kJ$
What is $\Delta U$ for the combustion of $1.5$ mole of benzene at ${27}^{\circ }C$ ?