An eight-digit number divisible by $9$ is to be formed using digits from $0$ to $9$ without repeating the digits. The number of ways in which this can be done is: (in $(7!)$)

If $3p^2 = 5p + 2$ and $3q^2 = 5q + 2$ where $p \neq q$,then the equation whose roots are $3p - 2q$ and $3q - 2p$ is:

The two enantiomers of secondary butyl chloride differ from each other in which one of the following properties?

$A$ ball $A$ of mass $m$ moving along the positive $x$-direction with kinetic energy $K$ and momentum $p$ undergoes an elastic head-on collision with a stationary ball $B$ of mass $M$. After the collision,ball $A$ moves along the negative $x$-direction with kinetic energy $K/9$. The final momentum of ball $B$ is:

If the internal energy of an ideal gas decreases by the same amount as the work done by the system,the process is

Pick up the wrong statement.