1
MHT CET 2023 13th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

A right circular cone has height $$9 \mathrm{~cm}$$ and radius of base $$5 \mathrm{~cm}$$. It is inverted and water is poured into it. If at any instant, the water level rises at the rate $$\frac{\pi}{\mathrm{A}} \mathrm{cm} / \mathrm{sec}$$. where $$\mathrm{A}$$ is area of the water surface at that instant, then cone is completely filled in

A
70 sec.
B
75 sec.
C
72 sec.
D
77 sec.
2
MHT CET 2023 13th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$\theta$$ is angle between the vectors $$\bar{a}$$ and $$\bar{b}$$ where $$|\bar{a}|=4,|\bar{b}|=3$$ and $$\theta \in\left(\frac{\pi}{4}, \frac{\pi}{3}\right)$$, then $$|(\bar{a}-\bar{b}) \times(\bar{a}+\bar{b})|^2+4(\bar{a} \cdot \bar{b})^2$$ has the value

A
576
B
24
C
144
D
12
3
MHT CET 2023 13th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Select the 'WRONG' statement out of the following.

A
Electromagnetic waves do not require any medium for their propagation.
B
Electromagnetic waves can travel through vacuum waves speed of light
C
Material medium is necessary for propagation of electromagnetic waves.
D
Electromagnetic waves are transverse in nature.
4
MHT CET 2023 13th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Two cells $$E_1$$ and $$E_2$$ having equal EMF '$$E$$' and internal resistances $$r_1$$ and $$r_2\left(r_1>r_2\right)$$ respectively are connected in series. This combination is connected to an external resistance '$$R$$'. It is observed that the potential difference across the cell $$\mathrm{E}_1$$ becomes zero. The value of '$$R$$' will be

A
$$r_1-r_2$$
B
$$\mathrm{r}_1+\mathrm{r}_2$$
C
$$\frac{r_1-r_2}{2}$$
D
$$\frac{r_1+r_2}{2}$$
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