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The electrophile, $E_{⊕}$ attacks the benzene ring to generate the intermediate $σ−$complex. Of the following, which $σ$-complex is of lowest energy ?

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The area of the plane region bounded by the curves $x+2y_{2}=0$and $x+3y_{2}=1$is equal to

The conjugate of a complex number is $i−11 $. Then the complex number is

The two functional groups present in a typical carbohydrate are

hree distinct points A, B and C are given in the 2 - ditmensional c pla nt the poi ne such that the ratio of the distance of any one of them from (1, 0) to the distance from the point (-1, 0) is equal to circumcentre of the triangle ABC is at the point 3 JEE 2009]

A thin spherical shell of radius R has charge Q spread uniformly over its surface. Which of the following graphs most closely represents the electric field E(r) produced by the shell in the range $0≤r<∞$, where r is the distance from the centre of the shell ?

Statement-I: For a mass M kept at the centre of a cube of side gravitational field passing through its sides is $4π$ GM. And Statement-II : If the direction of a field due to a point source is radial and its dependence on the distance 'r' for the source is given as $1/r_{2}$, its flux through a closed surface depends only on the strength of the source enclosed by the surface and not on the size or shape of the surface.

Let A(h, k), B(1, 1) and C(2, 1) be the vertices of a right angled triangle with AC as its hypotenuse. If the area of the triangle is 1, then the set of values which k can take is given by

Given $E_{Cr_{3+}/Cr}=−0.72V,E_{Fe_{2+}/Fe}=−0.42V$. The potential for the cell $Cr/Cr_{3+}(0.1)∣∣ ∣∣ Fe_{2+}(0.01M)∣∣ ∣∣ Fe$ is