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The magnitude of the magnetic field (B) due to loop ABCD at the origin (O) is

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

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.

Consider a family of circles which are passing through the point $(−1,1)$and are tangent to x-axis. If (h, k) are the co-ordinates of the centre of the circles, then the set of values of k is given by the interval

The solution for x of the equation $∫_{2}tt_{2}−1 dt =2π $ is:(A) 2 (B) $π$ (C) $23 $ (D) $22 $

In which of the following octahedral complexs of Co (at. No. 27), will the magnitude of $Δ_{o}$ be the highest ?

Consider a rubber ball freely falling from a height h = 4.9 m onto a horizontal elastic plate. Assume that the duration of collision is negligible and the collision with the plate is totally elastic. Then the velocity as a function of time the height as function of time will be

Larger number of oxidation states are exhibited by the actinoids than those by the lanthanoids, the main reason being