1
MHT CET 2023 13th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

Calculate the volume of unit cell if an element having molar mass $$180 \mathrm{~g} \mathrm{~mol}^{-1}$$ forms fcc unit cell. $$\left[\rho \cdot N_A=120 \times 10^{21} \mathrm{~g} \mathrm{~cm}^{-3} \mathrm{~mol}^{-1}\right]$$

A
$$6.00 \times 10^{-21} \mathrm{~cm}^3$$
B
$$5.00 \times 10^{-21} \mathrm{~cm}^3$$
C
$$4.00 \times 10^{-21} \mathrm{~cm}^3$$
D
$$7.00 \times 10^{-21} \mathrm{~cm}^3$$
2
MHT CET 2023 13th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

Identify homoleptic complex from following.

A
$$\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_6\right]^{3+}$$
B
$$\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_4 \mathrm{Cl}_2\right]^{+}$$
C
$$\left[\mathrm{Pt}\left(\mathrm{NH}_3\right)_2 \mathrm{Cl}_2\right]$$
D
$$\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_5 \mathrm{Cl}\right] \mathrm{SO}_4$$
3
MHT CET 2023 13th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$x d y=y(d x+y d y), y(1)=1, y(x)>0$$, then $$y(-3)$$ is

A
1
B
2
C
3
D
4
4
MHT CET 2023 13th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Slope of the tangent to the curve $$y=2 e^x \sin \left(\frac{\pi}{4}-\frac{x}{2}\right) \cos \left(\frac{\pi}{4}-\frac{x}{2}\right)$$, where $$0 \leq x \leq 2 \pi$$ is minimum at $$x=$$

A
0
B
$$\pi$$
C
$$2 \pi$$
D
1
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