1
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
$$\mathrm{f}_{\mathrm{r}}$$
2
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
$$0.6 \mathrm{~mH}$$
3
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 $$\frac{\pi^{\mathrm{c}}}{2}$$.
4
MHT CET 2021 23th September Morning Shift
+1
-0

In an LCR series a.c. circuit, the voltage across each of the components L, C and R is 60 V. The voltage across the LC combination is

A
120 V
B
60 V
C
zero V
D
$$\frac{60}{\sqrt{3}}$$ V
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