1
MHT CET 2024 15th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

What is the decreasing order of deposition of metal on electrode if standard reduction potentials are given as -

$\mathrm{Ag}^{+}\left|\mathrm{Ag}=0.80 \mathrm{~V}, \mathrm{Cu}^{2+}\right| \mathrm{Cu}=0.337 \mathrm{~V}$

$\mathrm{Sn}^{2+}\left|\mathrm{Sn}=-0.136 \mathrm{~V}, \mathrm{Cd}^{2+}\right| \mathrm{Cd}=-0.403 \mathrm{~V}$

A
$\mathrm{Ag}>\mathrm{Cu}>\mathrm{Sn}>\mathrm{Cd}$
B
$\mathrm{Cu}>\mathrm{Sn}>\mathrm{Cd}>\mathrm{Ag}$
C
$\mathrm{Sn}>\mathrm{Cd}>\mathrm{Ag}>\mathrm{Cu}$
D
$\mathrm{Cd}>\mathrm{Sn}>\mathrm{Cu}>\mathrm{Ag}$
2
MHT CET 2024 15th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $x=\sin \theta, y=\sin ^3 \theta$, then $\frac{\mathrm{d}^2 y}{\mathrm{~d} x^2}$ at $\theta=\frac{\pi}{2}$ is

A
0
B
2
C
3
D
6
3
MHT CET 2024 15th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Let $P, Q, R$ and $S$ be the points on the plane with position vectors $-2 \hat{i}-\hat{j}, 4 \hat{i}, 3 \hat{i}+3 \hat{j}$ and $-3 \hat{i}+2 \hat{j}$ respectively. Then the quadrilateral PQRS must be a

A
parallelogram, which is neither a rhombus nor a rectangle.
B
square.
C
rectangle, but not a square.
D
rhombus, but not a square.
4
MHT CET 2024 15th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $y=\frac{x^{\frac{2}{3}}-x^{\frac{-1}{3}}}{x^{\frac{2}{3}}+x^{\frac{-1}{3}}}, x \neq 0$, then $(x+1)^2 y_1=$

A
2
B
$-$2
C
$\frac{-1}{3}$
D
3
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