1
JEE Main 2022 (Online) 27th July Evening Shift
Numerical
+4
-1
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The spin only magnetic moment of the complex present in Fehling's reagent is __________ B.M. (Nearest integer).

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2
JEE Main 2022 (Online) 27th July Evening Shift
Numerical
+4
-1
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JEE Main 2022 (Online) 27th July Evening Shift Chemistry - Practical Organic Chemistry Question 40 English

In the above reaction, $$5 \mathrm{~g}$$ of toluene is converted into benzaldehyde with $$92 \%$$ yield. The amount of benzaldehyde produced is ______________ $$\times 10^{-2} \mathrm{~g}$$. (Nearest integer)

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3
JEE Main 2022 (Online) 27th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The domain of the function $$f(x)=\sin ^{-1}\left[2 x^{2}-3\right]+\log _{2}\left(\log _{\frac{1}{2}}\left(x^{2}-5 x+5\right)\right)$$, where [t] is the greatest integer function, is :

A
$$ \left(-\sqrt{\frac{5}{2}}, \frac{5-\sqrt{5}}{2}\right) $$
B
$$ \left(\frac{5-\sqrt{5}}{2}, \frac{5+\sqrt{5}}{2}\right) $$
C
$$ \left(1, \frac{5-\sqrt{5}}{2}\right) $$
D
$$ \left[1, \frac{5+\sqrt{5}}{2}\right) $$
4
JEE Main 2022 (Online) 27th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Let S be the set of all $$(\alpha, \beta), \pi<\alpha, \beta<2 \pi$$, for which the complex number $$\frac{1-i \sin \alpha}{1+2 i \sin \alpha}$$ is purely imaginary and $$\frac{1+i \cos \beta}{1-2 i \cos \beta}$$ is purely real. Let $$Z_{\alpha \beta}=\sin 2 \alpha+i \cos 2 \beta,(\alpha, \beta) \in S$$. Then $$\sum\limits_{(\alpha, \beta) \in S}\left(i Z_{\alpha \beta}+\frac{1}{i \bar{Z}_{\alpha \beta}}\right)$$ is equal to :

A
3
B
3 i
C
1
D
2 $$-$$ i
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