Number of moles of $MnO_4^-$ required to oxidize one mole of ferrous oxalate completely in acidic medium will be .............. $moles$.

The following compounds have been arranged in order of their increasing thermal stabilities. Identify the correct order.
$I.$ $K_2CO_3$ $II.$ $MgCO_3$
$III.$ $CaCO_3$ $IV.$ $BeCO_3$

What is the output $Y$ in the following circuit,when all the three inputs $A, B, C$ are first $0$ then $1$?

If $A$ and $B$ are mutually exclusive events with $P(B) \neq 1$,then $P(A \mid \bar{B})$ is equal to (Here $\bar{B}$ is the complement of the event $B$)

Genes of interest can be selected from a genomic library by using

$A$ bullet of mass $10 ~g$ is fired horizontally with a velocity $1000 ~ms^{-1}$ from a rifle situated at a height $50 ~m$ above the ground. If the bullet reaches the ground with a velocity $500 ~ms^{-1}$,the work done against air resistance in the trajectory of the bullet is : $(g=10 ~ms^{-2})$ (in $~J$)