For the alkali metals,which of the following increases with increasing atomic number?

The Biuret test is not given by:

$A$ person walks along a straight road from his house to a market $2.5 \ km$ away with a speed of $5 \ km/h$ and instantly turns back and reaches his house with a speed of $7.5 \ km/h$. The average speed of the person during the time interval $0$ to $50 \ min$ is (in $m/s$):

The number of values of $x$ in the interval $[0, 5\pi]$ satisfying the equation $3\sin^2x - 7\sin x + 2 = 0$ is

If $3$ is a root of $x^2+kx-24=0$,then it is also a root of which of the following equations?

$Assertion:$ The total translational kinetic energy of all the molecules of a given mass of an ideal gas is $1.5$ times the product of its pressure and its volume.
$Reason:$ The molecules of a gas collide with each other and the velocities of the molecules change due to the collision.