The orange coloured compound formed when $H_2O_2$ is added to $TiO_2$ solution acidified with conc $H_2SO_4$ is

In the circuit,if the forward voltage drop for the diode is $0.5 \, V$,the current will be........$mA$.

Which one of the following statements is correct about biodiversity?

From a uniform wire,two circular loops are made: $(i)$ $P$ of radius $r$ and $(ii)$ $Q$ of radius $nr$. If the moment of inertia of $Q$ about an axis passing through its centre and perpendicular to its plane is $8$ times that of $P$ about a similar axis,the value of $n$ is (diameter of the wire is very much smaller than $r$ or $nr$).

The complete set of values of $x$ for which the function $f(x) = 2 \log_e(x-2) - x^2 + 4x + 1$ is increasing is: