1
MHT CET 2022 11th August Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\text { If } \int e^{x^2} \cdot x^3 \mathrm{~d} x=e^{x^2} \cdot[f(x)+C]$$ (where $$C$$ is a constant of integration.) and $$f(1)=0$$, then value of $$f(2)$$ will be

A
$$\frac{-3}{2}$$
B
$$\frac{-1}{2}$$
C
$$\frac{3}{2}$$
D
$$\frac{1}{2}$$
2
MHT CET 2022 11th August Evening Shift
MCQ (Single Correct Answer)
+2
-0

The negation of the statement, "The payment will be made if and only if the work is finished in time" is

A
The work is finished in time and the payment is not made or the payment is made and the work is finished in time.
B
The work is finished in time and the payment is not made.
C
The payment is made and the work is not finished in time.
D
Either the work is finished in time and the payment is not made or the payment is made and the work is not finished in time.
3
MHT CET 2022 11th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

The magnetic susceptibility of the material of a rod is 349 and permeability of vacuum $$\mu_0$$ is $$4 \pi \times 10^{-7}$$ SI units. Absolute permeability of the material of the rod in SI units is

A
$$4400 \times 10^{-7}$$
B
$$4200 \times 10^{-7}$$
C
$$4800 \times 10^{-7}$$
D
$$4600 \times 10^{-7}$$
4
MHT CET 2022 11th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

The magnetic flux through a coil of resistance '$$R$$' changes by an amount '$$\Delta \phi$$' in time '$$\Delta \mathrm{t}$$'. The total quantity of induced electric charge '$$\mathrm{Q}$$' is

A
$$-\frac{\Delta \phi}{\Delta \mathrm{t}}+\mathrm{R}$$
B
$$\frac{\Delta \phi}{\Delta \mathrm{t}} \times \mathrm{R}$$
C
$$\frac{\Delta \phi}{\mathrm{R}}$$
D
$$\frac{\Delta \phi}{\Delta t}$$
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