1
JEE Main 2023 (Online) 24th January Morning Shift
Numerical
+4
-1
Change Language

The d-electronic configuration of $$\mathrm{[CoCl_4]^{2-}}$$ in tetrahedral crystal field in $${e^mt_2^n}$$. Sum of "m" and "number of unpaired electrons" is ___________

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2
JEE Main 2023 (Online) 24th January Morning Shift
Numerical
+4
-1
Change Language

If wavelength of the first line of the Paschen series of hydrogen atom is 720 nm, then the wavelength of the second line of this series is _________ nm. (Nearest integer)

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3
JEE Main 2023 (Online) 24th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language

Let a tangent to the curve $$\mathrm{y^2=24x}$$ meet the curve $$xy = 2$$ at the points A and B. Then the mid points of such line segments AB lie on a parabola with the :

A
length of latus rectum 2
B
directrix 4x = $$-$$3
C
directrix 4x = 3
D
length of latus rectum $$\frac{3}{2}$$
4
JEE Main 2023 (Online) 24th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Let $$\mathrm{p,q\in\mathbb{R}}$$ and $${\left( {1 - \sqrt 3 i} \right)^{200}} = {2^{199}}(p + iq),i = \sqrt { - 1} $$ then $$\mathrm{p+q+q^2}$$ and $$\mathrm{p-q+q^2}$$ are roots of the equation.

A
$${x^2} + 4x - 1 = 0$$
B
$${x^2} - 4x + 1 = 0$$
C
$${x^2} + 4x + 1 = 0$$
D
$${x^2} - 4x - 1 = 0$$
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