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For 1 molal aqueous solution of the following compounds, which one will show the highest freezing

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Consider a spherical shell of radius R at temperature T. The black body radiation inside it can be considered as an ideal gas of photons with internal energy per unit volume $u=VU ∝T_{4}$ and pressure $p=31 (VU )$. If the shell now undergoes an adiabatic expansion the relation between T and R is :

The ionic radii (in Å) of $N_{3−},O_{2−}$ and $F_{−}$ are respectively :

Let C be the circle with centre at (1, 1) and radius = 1. If T is the circle centred at (0, y), passing through origin and touching the circle C externally, then the radius of T is equal to

Three positive numbers from an increasing G.P. If the middle term in this G.P. is doubled, the new numbers are in A.P. Then the common ratio of the G.P. is

The number of points, having both co-ordinates as integers, that lie in the interior of the triangle with vertices (0, 0), (0, 41) and (41, 0), is :

Which one has the highest boiling point ?

If $∫f(x)dx=ψ(x)$, then $∫x_{5}f(x_{3})dx$is equal to

The real number k for which the equation, $2x_{3}+3x+k=0$has two distinct real roots in [0, 1]