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Standard XII
Physics
Dimensional Analysis
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नीचे दिये गये प्रश्न के लिए अनुच्छेद

A series LCR circuit containing a resistance of 100 Ω has angular resonance frequency 2 × 104 rad s–1. At resonance, the voltages across resistance and inductance are 50 V and 40 V respectively.

एक श्रेणी LCR परिपथ में 100 Ω का एक प्रतिरोध है, इसकी कोणीय अनुनादी आवृत्ति 2 × 104 rad s–1 है। अनुनाद पर, प्रतिरोध व प्रेरकत्व के सिरों पर वोल्टता क्रमशः 50 V तथा 40 V हैं।

Q. The value of capacitance C is

प्रश्न - धारिता C का मान है


A
1.6 nF
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B
0.12 nF
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C
0.625 μF
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D
1.8 μF
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Solution

The correct option is C 0.625 μF
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Q.

This section contains 1 Assertion-Reason type question, which has 4 choices (a), (b), (c) and (d) out of which ONLY ONE is correct.
इस खण्ड में 1 कथन-कारण प्रकार का प्रश्न है, जिसमें 4 विकल्प (a), (b), (c) तथा (d) दिये गये हैं, जिनमें से केवल एक सही है।

A : For a series LCR AC circuit, if inductance is increased by a factor of four, keeping capacitance constant, then the resonant angular frequency becomes twice of its initial value.
A : एक श्रेणी LCR AC परिपथ के लिए, यदि धारिता को नियत रखते हुए प्रेरकत्व को चार गुना बढ़ाया जाता है, तब अनुनादी कोणीय आवृत्ति अपने प्रारम्भिक मान की दोगुनी हो जाती है।

R : For a series LCR AC circuit resonant angular frequency is given by ωresonant = 1√LC.
R : एक श्रेणी LCR AC परिपथ के लिए, अनुनादी कोणीय आवृत्ति को ωअनुनादी = 1√LC द्वारा व्यक्त किया जाता है।
Q. A series LCR circuit containing a resistance of 120 Ω has resonance frequency 4×105 rad/s. At resonance, the voltage across resistor and inductor are 60 V and 40 V, respectively. The value of capacitance is -
Q. A series LCR circuit containing a resistance of 120 Ω has angular resonance frequency 4×105 rad s−1. At resonance the voltages across resistance and inductance are 60 V and 40 V, respectively. The value of inductance L is
Q. A series LCR circuit containing a resistance of 120Ω has angular frequency 4×105 rad / s . At resonance the voltages across resistance and inductance are 60 V and 40 V respectively. The angular frequency at which the current in the circuit lags the voltage by π4 is:
Q. An LCR series circuit containing a resistance of 120Ω has angular resonance frequency 4×105 rad S−1. At resonance the voltage across resistance and inductance are 60V and 40V respectively. Then, the values of L and C are respectively.
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