1
JEE Main 2023 (Online) 10th April Morning Shift
Numerical
+4
-1
Change Language

In the following reactions, the total number of oxygen atoms in X and Y is ___________.

Na$$_2$$O + H$$_2$$O $$\to$$ 2X

Cl$$_2$$O$$_7$$ + H$$_2$$O $$\to$$ 2Y

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2
JEE Main 2023 (Online) 10th April Morning Shift
Numerical
+4
-1
Change Language

$$\mathrm{FeO_4^{2 - }\buildrel { + 2.2V} \over \longrightarrow F{e^{3 + }}\buildrel { + 0.70V} \over \longrightarrow F{e^{2 + }}\buildrel { - 0.45V} \over \longrightarrow F{e^0}}$$

$$E_{FeO_4^{2 - }/F{e^{2 + }}}^\theta $$ is $$x \times {10^{ - 3}}$$ V. The value of $$x$$ is _________

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3
JEE Main 2023 (Online) 10th April Morning Shift
Numerical
+4
-1
Change Language

If the degree of dissociation of aqueous solution of weak monobasic acid is determined to be 0.3, then the observed freezing point will be ___________% higher than the expected/theoretical freezing point. (Nearest integer)

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4
JEE Main 2023 (Online) 10th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

If $$I(x) = \int {{e^{{{\sin }^2}x}}(\cos x\sin 2x - \sin x)dx} $$ and $$I(0) = 1$$, then $$I\left( {{\pi \over 3}} \right)$$ is equal to :

A
$$ - {e^{{3 \over 4}}}$$
B
$$ - {1 \over 2}{e^{{3 \over 4}}}$$
C
$${e^{{3 \over 4}}}$$
D
$${1 \over 2}{e^{{3 \over 4}}}$$
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