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Assuming expression for impedance in a parallel resonant circuit, state the conditions for parallel resonance. Define resonant frequency and obtain an expression for it.
Concept: Forced Oscillations and Resonance
Show that even as well as odd harmonics are present as overtones in the case of an air column vibrating in a pipe open at both the ends.
Concept: Study of Vibrations of Air Columns
A wheel of moment of inertia 1 kg.m2 is rotating at a speed of 30 rad/s. Due to friction on the axis, it comes to rest in 10 minutes. Calculate the average torque of the friction.
Concept: Study of Vibrations of Air Columns
A stretched sonometer wire is in unison with a tuning fork. When the length of the wire is increased by 5%, the number of beats heard per second is 10. Find the frequency of the tuning fork.
Concept: Study of Vibrations in a Finite Medium
A sonometer wire 1 metre long weighing 2 g is in resonance with a tuning fork of frequency 300 Hz. Find tension in the sonometer wire.
Concept: Study of Vibrations in a Finite Medium
Choose the correct option:
A parallel plate capacitor is charged and then isolated. The effect of increasing the plate separation on charge, potential, capacitance respectively are ______.
Concept: Concept of Electrostatics
Answer in brief:
If the difference between the radii of the two spheres of a spherical capacitor is increased, state whether the capacitance will increase or decrease.
Concept: Concept of Electrostatics
A dipole with its charges, - q and + q located at the points (O, -b, O) and (O, +b, O) is present in a uniform electric field E. The equipotential surfaces of this field are planes parallel to the yz plane.
(a) What is the direction of the electric field E?
(b) How much torque would the dipole experience in this field?
Concept: Electric Potential Due to a Point Charge
State law of linear density.
Concept: Study of Vibrations of Air Columns
How the frequency of the vibrating wire is affected if the load is fully immersed in water?
Concept: Study of Vibrations of Air Columns
Show that even as well as odd harmonics are present as an overtone in modes of vibration of the string.
Concept: Free and Forced Vibrations
Waves produced by two vibrators in a medium have wavelength 2 m and 2.1 m respectively. When sounded together they produce 8 beats/second. Calculate wave velocity and frequencies of the vibrators.
Concept: Study of Vibrations of Air Columns
A dipole is placed in a uniform electric field, its potential energy will be minimum when the angle between its axis and field is ______
Concept: Electrical Energy of Two Point Charges and of a Dipole in an Electrostatic Field
If an electron is brought towards another electron, the electric potential energy of the system ______.
Concept: Electric Potential and Potential Difference
Which physical quantity has its unit as J/C? Is it a scalar or vector?
Concept: Electric Potential and Potential Difference
Obtain an expression for the capacitance of a parallel plate capacitor without a dielectric.
Concept: Concept of Electrostatics
Three-point charges +q, +2q and Q are placed at the three vertices of an equilateral triangle. Find the value of charge Q (in terms of q), so that the electric potential energy of the system is zero.
Concept: Electric Potential and Potential Difference
The angle at which maximum torque is exerted by the external uniform electric field on the electric dipole is ______.
Concept: Electrical Energy of Two Point Charges and of a Dipole in an Electrostatic Field
State the formula giving the relation between electric field intensity and potential gradient.
Concept: Electric Potential and Potential Difference
