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JEE Main

The order of stability of the following carbocations:

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The molecular formula of a commercial resin used for exchanging ions in water softening is $C_{8}H_{7}SO_{3}Na$ (Mol. Wt. 206). What would be the maximum uptake of $Ca_{2+}$ ions by the resin when expressed in mole per gram resin ?

If the lines $1x−2 =1y−3 =−kx−4 $ and $kx−1 =2y−4 =1x−5 $are coplanar, then k can have

If the vectors $AB=3i^+4k^$ and $AC=5i^−2j^ +4k^$are the sides of a triangle ABC, then the length of the median through A is

If m is the A.M. of two distinct real numbers $l$and $n(l,n>1)$and$G_{1},G_{2}$ and $G_{3}$ are three geometric means between $l$and n, then $G_{1}+2G_{2}+G_{3}$equals,

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

Two coaxial solenoids of different radii carry current I in the same direction. Let \displaystyle\vec{{F}}_{}

Higher order $(>3)$ reactions are rare due to :

Let $f_{K}(x)=k1 (s∈_{k}x+cos_{k}x)$where $x∈R$and $k≥1$. Then $f_{4}(x)−f_{6}(x)$equals