A stiff wire is bent into a cylinder loop of diameter `D`. It is clamped by knife edges at two points opposite to each other . A transverse wave is sent around the loop by means resonance frequency (fundamental mode) of the loop in terms of wave speed `v` and diameter `D` is

A thin insulating wire is stretched·along the diameter of an. insulated circular hoop of radius R. A small bead of mass m and charge-q is threaded onto the wire. Two small identical charges are tied to the hoop at points opposite to each other, so that the diameter passing through them is perpendicular to the thread as shown in figure. The bead is released at a point which.is located at a distance x_(0) from the centre of the hoop. Assume that x_(0) lt lt R . (a) What is the resultant force acting on the charged bead? (b) Describe the motion of the bead after it is released X (c) Use the assumption that (x)/(R) lt lt 1 to obtain an approximate equation of motion, and find the displacement and velocity of the bead as functions of time (d) When will the velocity of the bead will bcome zero for the first time?

A vibrating sonometer wire in resonance with a tuning fork of frequency 150 Hz. If only loop is formed on the wire and the length of one loop is 40 cm, then the velocity of transverse waves on the wire will be

Consider two thin identical conducting wires covered with very thin insulating material.One of the wires is bent into a loop and produces magnetic field B_(1) at its centre when a current I passes through it.The second wire is bent into a coil with three identical loops adjacent to each other and produces magnetic field B_(2) at the centre of the loops when current "I/3" passes through it.The ratio B_(1):B_(2) is: (a) 1:3 (b) 9:1 (c) 1:9 (d) 1:1

A steel wire of diameter d=1.0mm is stretched horizontally between two clamps located at the distance l=2.0m from each other. A weight of mass m=0.25kg is suspended from the mid-point O of the wire. What will the resulting descent of the point O be in centrimetres?

A sinusoidal wave is propagating along a streched string that lies along the x-axis. The displacement of the string as a function of time is graphed in for particles at x-0 and at x=0.0900 m. (a) what is the amplitude of the wave? (b)what is the period of the wave? (c ) you are told that the two points x=0 and x=0.0900 m are within one wavelength of each other. if the wave is moving in the +x-direction, determine the wavelength and the wave speed. (d) if instead the wave is moving in the -x-direction, determine the wavelength and the wave speed. (e) would it be possible to derermine definitely the wavelength in parts (c ) and (d) if you were not told that the two points were within one wavelength of each other? why ot why not?

The figure shows a circular loop of radius a with two long parallel wires (numbered 1 and 2) all in the plane of the paper . The distance of each wire from the centre of the loop is d . The loop and the wire are carrying the same current I . The current in the loop is in the counterclockwise direction if seen from above. (q) The magnetic fields(B) at P due to the currents in the wires are in opposite directions. (r) There is no magnetic field at P . (s) The wires repel each other. (4) When d~~a but wires are not touching the loop , it is found that the net magnetic field on the axis of the loop . In that case

The figure shows a circular loop of radius a with two long parallel wires (numbered 1 and 2) all in the plane of the paper . The distance of each wire from the centre of the loop is d . The loop and the wire are carrying the same current I . The current in the loop is in the counterclockwise direction if seen from above. (q) The magnetic fields(B) at P due to the currents in the wires are in opposite directions. (r) There is no magnetic field at P . (s) The wires repel each other. (5) Consider dgtgta , and the loop is rotated about its diameter parallel to the wires by 30^(@) from the position shown in the figure. If the currents in the wire are in the opposite directions, the torque on the loop at its new position will be ( assume that the net field due to the wires is constant over the loop).

A wire with mass 40.0 g is stretched so that its ends are tied down at points 80.0 cm apart.The wire vibrates in its fundamental mode with frequency 60.0 Hz and with an amplitude at the antinodes of 0.300 cm. (a) What is the speed of propagation of transverse wave in the wire? Compute the tension in the wire. (c) Find the maximum transverse velocity and acceleration of particles in the wire.