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The energy required to break one mole of $Cl−Cl$ bonds in $Cl_{2}$ is 242 kJ $mol_{−1}$. The longest wavelenght of light capable of breaking a single $Cl−Cl$ bond is $(c=3×10_{8}ms_{−1}andN_{A}=6.02×10_{23}mol_{−1})$

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A thin rod of length 'L' is lying along the x-axis with its ends at $x=0andx=L$. Its linear density (mass/length) varies with x as $k(Lx )_{n}$, where n can be zero or any positive number. If the position $x_{CM}$ of the centre of mass of the rod is plotted against 'n', which of the following graph best approximates the dependence of $x_{CM}$ on n ?

$α−D−(+)$-glucose and $β−D−(+)−$glucose are

The vapour pressure of water at $20_{2}C$ is 17.5 mm Hf. If 18 g of glucose $(C_{6}H_{12}O_{6})$ is added to 178.2 g of water at $20_{∘}C$, the vapour pressure of the resulting solution will be

Let $P(r)=πR_{4}Q r$ be the charge desntiy distribution for a solid sphere of radius R and total charge Q. for a point 'p' inside the sphere at distance \displaystyle{r}_{}

The quadratic equations $x_{2}-6x+a=0andx_{2}-cx+6=0$have one root in common. The other rootsof the first and second equations are integers in the ratio 4 : 3. Then the common root is

The vector $a=αi^+2j^ +βk^$lies in the plane of the vectors $b=i^+j^ $and $c=j^ +k^$and bisects the angle between $b$and $c$. Then which one of the following gives possible values of $αandβ$?

The alkene that exhibits geometrical isomerism is :

The line passing through the points (5, 1, a) and (3, b, 1) crosses the yzplane at the point $(0,217 ,2−13 )$.Then