LCR resonance condition: MCQ with Answer and Explanation

LCR resonance condition:
A. R = 0
B. X_L = X_C
C. f = 0
D. Z maximum
Answer: Option B
Solution (By JKSSB Mock Tests)
Resonance: ωL = 1/(ωC) ⇒ ω = 1/√(LC). At this frequency, impedance minimum (Z=R), current maximum. Memory tip: 'Resonance: X_L = X_C; series: Z_min, current max'. AC circuit concept frequently tested in competitive exams.

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Question #1
A cork floats on water because its density is
A. Less than that of water
B. Equal to that of water
C. Zero
D. Greater than that of water

Correct Answer: Option A


Explanation:
Objects float if their density is less than the fluid. Cork density < water density, so it floats. Iron sinks because density > water. Ship made of iron floats due to shape displacing more water, average density less.

This question belongs to: Science Physics
Question #2
Capacitor energy U = ½CV². If voltage doubled, energy becomes:
A. Half
B. Same
C. Four times
D. Double

Correct Answer: Option C


Explanation:
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Question #3
In a perfectly elastic collision between two bodies, which of the following physical quantities are conserved?
A. Both momentum and kinetic energy
B. Only kinetic energy
C. Only momentum
D. Neither momentum nor kinetic energy

Correct Answer: Option A


Explanation:
In any collision (elastic or inelastic), the total linear momentum is always conserved, provided no external forces act on the system. However, a perfectly elastic collision is specifically defined as one in which there is absolutely no loss of kinetic energy. Therefore, both total linear momentum and total kinetic energy are conserved.

This question belongs to: Science Physics