At parallel resonance, the ratio $$rac{{ ext{L}}}{{ ext{C}}}$$ is ___________

At parallel resonance, the ratio $$\frac{{\text{L}}}{{\text{C}}}$$ is ___________

In a resonance tube with tuning fork of frequency 512Hz, first resonance occurs at water level equal to 30.3cm and second resonance occurs at 63.7cm. The maximum possible error in the speed of sound is?

A

51.2 cm/s

B

102.4m/s

C

204.8cm/s

D

1536cm/s

At parallel resonance, the ratio L/C is ___________

A

Very large

B

Zero

C

Small

D

None of the above

In a series resonance circuit, series resonance occurs when?

A

XL = 1

B

XC = 1

C

XL = XC

D

XL = -XC

Assertion (A): All the systems which exhibit overshoot in transient response will also exhibit resonance peak in frequency response. Reason (R): Large resonance peak in frequency response corresponds to a large overshoot in transient response.

A

Both A and R are true and R is the correct explanation of A

B

Both A and R are true and R is not the correct explanation of A

C

A is true but R is false

D

A is false but R is true

A piece of paraffin is placed in a uniform magnetic field H₀. The sample contains hydrogen nuclei of mass m_p, which interact only with external magnetic field. An additional oscillating magnetic field is applied to observe resonance absorption. If g₁ is the g-factor of the hydrogen nucleus, the frequency at which resonance absorption takes place, is given by

A

$$\frac{{3{g_1}e{H_0}}}{{2\pi {m_p}}}$$

B

$$\frac{{3{g_1}e{H_0}}}{{4\pi {m_p}}}$$

C

$$\frac{{{g_1}e{H_0}}}{{2\pi {m_p}}}$$

D

$$\frac{{{g_1}e{H_0}}}{{4\pi {m_p}}}$$

There is an acoustic resonance, which echoes is the fixed resonance when it is in vibration.

A

whistle

B

tuning fork

C

electric circuit

D

clarinet

ABCD is a trapezium, AB is parallel to CD and CD is parallel to EF and AD and BC are non-parallel sides where AD = BC, then which statements (s) is/are correct? A) If E and F are midpoints of side AD and BC respectively, then the length of EF is half of the sum of parallel sides. B) If E and F are not midpoints of sides AD and BC, then EF = (AE × DC + FC × AB)/AD C) If E and F are midpoints of sides AD and BC respectively, then (ar ABFE) : (ar DCFE) = (3AB + DC) : (3DC + AB)

A

Only A

B

Only A and B

C

Only B and C

D

A, B and C

A trapezium is formed by joining two parallel line segments of unequal length. The arrangement of both lines is such that the excessive length of the longer parallel line segment is equally distributed on both sides of the end point of shorter line segment. The non-parallel line segments are of equal length and the length of parallel line segments in 10 cm and 18 cm. What is the area of trapezium if the perimeter is 38cm?

A

32 cm²

B

42 cm²

C

48 cm²

D

18 cm²

E

24 cm²

At parallel resonance, the phase angle between the applied voltage and circuit current is ___________

A

90°

B

180°

C

0°

D

None of the above

At series or parallel resonance, the circuit behaves as a ___________ load

A

Capacitive

B

Resistive

C

Inductive

D

None of the above

At parallel resonance, the ratio $$\frac{{\text{L}}}{{\text{C}}}$$ is ___________

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