1
JEE Main 2022 (Online) 25th June Morning Shift
Numerical
+4
-1
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For a given chemical reaction

$$\gamma$$1A + $$\gamma$$2B $$\to$$ $$\gamma$$3C + $$\gamma$$4D

Concentration of C changes from 10 mmol dm$$-$$3 to 20 mmol dm$$-$$3 in 10 seconds. Rate of appearance of D is 1.5 times the rate of disappearance of B which is twice the rate of disappearance A. The rate of appearance of D has been experimentally determined to be 9 mmol dm$$-$$3 s$$-$$1. Therefore, the rate of reaction is _____________ mmol dm$$-$$3 s$$-$$1. (Nearest Integer)

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2
JEE Main 2022 (Online) 25th June Morning Shift
Numerical
+4
-1
Change Language

If [Cu(H2O)4]2+ absorbs a light of wavelength 600 nm for d-d transition, then the value of octahedral crystal field splitting energy for [Cu(H2O)6]2+ will be ____________ $$\times$$ 10$$-$$21 J. [Nearest Integer]

(Given : h = 6.63 $$\times$$ 10$$-$$34 Js and c = 3.08 $$\times$$ 108 ms$$-$$1)

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3
JEE Main 2022 (Online) 25th June Morning Shift
Numerical
+4
-1
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Number of grams of bromine that will completely react with 5.0 g of pent-1-ene is ___________ $$\times$$ 10$$-$$2 g. (Atomic mass of Br = 80 g/mol) [Nearest Integer]

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4
JEE Main 2022 (Online) 25th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
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Let a circle C touch the lines $${L_1}:4x - 3y + {K_1} = 0$$ and $${L_2} = 4x - 3y + {K_2} = 0$$, $${K_1},{K_2} \in R$$. If a line passing through the centre of the circle C intersects L1 at $$( - 1,2)$$ and L2 at $$(3, - 6)$$, then the equation of the circle C is :
A
$${(x - 1)^2} + {(y - 2)^2} = 4$$
B
$${(x + 1)^2} + {(y - 2)^2} = 4$$
C
$${(x - 1)^2} + {(y + 2)^2} = 16$$
D
$${(x - 1)^2} + {(y - 2)^2} = 16$$
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