1
MHT CET 2024 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Identify the element reduced in following reaction.

$$\mathrm{Cr}_2 \mathrm{O}_7^{2-}+14 \mathrm{H}^{+}+6 \mathrm{I}^{-} \longrightarrow 2 \mathrm{Cr}^{3+}+3 \mathrm{H}_2 \mathrm{O}+3 \mathrm{I}_2$$

A
Cr
B
H
C
O
D
I
2
MHT CET 2024 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Calculate the pH of buffer solution containing 0.027 M weak acid and 0.054 M of its salt with strong base if $\mathrm{pK}_{\mathrm{a}}$ is 4.2.

A
4.5
B
3.2
C
5.6
D
6.4
3
MHT CET 2024 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $\int \frac{\mathrm{d} x}{\cos ^3 x \sqrt{2 \sin 2 x}}=(\tan x)^A+C(\tan x)^B+K$, where K is a constant of integration, then the value of $5(A+B+C)$ is equal to

A
25
B
14
C
16
D
20
4
MHT CET 2024 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\int \frac{2 x^2-1}{\left(x^2+4\right)\left(x^2-3\right)} d x=$$

A
$\frac{9}{14} \tan ^{-1}\left(\frac{x}{2}\right)+\frac{5}{14 \sqrt{3}} \log \left(\frac{x-\sqrt{3}}{x+\sqrt{3}}\right)+\mathrm{c}$, (where c is constant of integration)
B
$\frac{9}{7} \tan ^{-1}\left(\frac{x}{2}\right)+\frac{5}{7 \sqrt{3}} \log \left(\frac{x-\sqrt{3}}{x+\sqrt{3}}\right)+c$, (where c is constant of integration)
C
$\frac{9}{7} \tan ^{-1}\left(\frac{x}{2}\right)-\frac{5}{7 \sqrt{3}} \log \left(\frac{x-\sqrt{3}}{x+\sqrt{3}}\right)+\mathrm{c}$, (where c is constant of integration)
D
$\frac{9}{14} \tan ^{-1}\left(\frac{x}{2}\right)+\frac{5}{7} \log \left(\frac{x-\sqrt{3}}{x+\sqrt{3}}\right)+\mathrm{c}$, (where c is constant of integration)
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