1
MHT CET 2021 24th September Morning Shift
+1
-0

The peak value of an alternating emf '$$\mathrm{e}$$' given by $$\mathrm{e}=\mathrm{e}_0 \cos \omega \mathrm{t}$$ is 10 volt and its frequency is $$50 \mathrm{~Hz}$$. At time $$\mathrm{t}=\frac{1}{600} \mathrm{~s}$$, the instantaneous e.m.f is $$\left(\cos \frac{\pi}{6}=\sin \frac{\pi}{3}=\frac{\sqrt{3}}{2}\right)$$

A
$$10 \mathrm{~V}$$
B
$$\frac{1}{\sqrt{3}} \mathrm{~V}$$
C
$$5 \mathrm{~V}$$
D
$$5 \sqrt{3} \mathrm{~V}$$
2
MHT CET 2021 23rd September Evening Shift
+1
-0

A circuit containing resistance R$$_1$$, inductance L$$_1$$ and capacitance C$$_1$$ connected in series resonates at the same frequency 'f$$_0$$' as another circuit containing R$$_2$$, L$$_2$$ and C$$_2$$ in series. If two circuits are connected in series then the new frequency at resonance is

A
$$\mathrm{\frac{3}{4} f_r}$$
B
$$\frac{3}{2} \mathrm{f}_{\mathrm{r}}$$
C
$$\mathrm{2 f_r}$$
D
$$\mathrm{f}_{\mathrm{r}}$$
3
MHT CET 2021 23rd September Evening Shift
+1
-0

A series L-C-R circuit containing a resistance of $$120 ~\Omega$$ has angular frequency $$4 \times 10^5 \mathrm{~rad} \mathrm{~s}^{-1}$$. At resonance the voltage across resistance and inductor are $$60 \mathrm{~V}$$ and $$40 \mathrm{~V}$$ respectively, then the value of inductance will be

A
$$0.2 \mathrm{~mH}$$
B
$$0.4 \mathrm{~mH}$$
C
$$0.8 \mathrm{~mH}$$
D
$$0.6 \mathrm{~mH}$$
4
MHT CET 2021 23th September Morning Shift
+1
-0

For series LCR circuit, which one of the following is a CORRECT statement?

A
Potential difference across resistance $$\mathrm{R}$$ and that across capacitor have phase difference $$\frac{\pi^{\mathrm{c}}}{2}$$.
B
Applied e.m.f. and potential difference across resistance '$$R$$' are in the same phase
C
Applied e.m.f. and potential difference inductor coil has phase difference of $$\frac{\pi^{\mathrm{c}}}{2}$$
D
Potential difference across capacitor and that across inductor have phase difference of $$\frac{\pi^{\mathrm{c}}}{2}$$.
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