The velocity of transverse wave passing through a string of length 3m is 16 m/sec.If the mass of the string is 0.15 kg,find (i)the tension of the string,(ii)the frequency of its fundamental and (iii)the wavelength.

A-stone of mass 0.25 kg tied to the end of a string is whirled round in a circle of radius 1.5 m with a speed of 40 rev./min in a horizontal plane. What is the tension in the string? What is the maximum speed with which the stone can be whirled around if the string can withstand a maximum tension of 200. N?

A bob of mass 0.1 kg hung from the ceiling of a room by a string 2 m long is set into oscillation. The speed of the bob at its mean position is 1 m s^1. What is the trajectory of the bob if the string is cut when the bob is (a) at one of its extreme positions, (b) at its mean position.

(a) Find the moment of inertia of a sphere about a tangent to the sphere, given the moment of inertia of the sphere about any of its diameters to be 2MR^2IS, where M is the mass of the sphere and R is the radius of the sphere(b) Given the moment of inertia of a disc of mass M and radius R about any of its diameters to be MR2I4, find its moment of inertia about an axis normal to the' disc and passing through a point on its edge.

Calculate the de Broglie wave length of a ball of mass 0.16kg moving with a speed of 18m/s .

The length of a cylindrical glass tube is 30 cm.the velocity of sound in air is 330 m(s)^-1 .What is the fundamental frequency of vibration of the air coloumn if (i)both ends of the tube are open and (ii)open end is closed and flat?

The blades of a windmill sweep out a circle of area A. (a) If the wind flows at a velocity v perpendicular to the circle, what is the mass of the air passing through it in time f?(b) What is the kinetic energy of the air? (c) Assume that the windmill converts 25% of the wind’s energy into electrical energy, and that A = 30 m^- 2 , v = 36 km/h and the density of air is 1.2 kg m^-3 . What is the electrical power produced?

A string 25 cm long and having a mass of 2.5 g is under tension.When the string is vibrating in its first overtone and air in a 40 cm long closed pipe in its fundamental frequency 8 beats per second are heard.it is observed that decreasing the tension in the string decreases the beat frequency.Find the tension in the string.[Velocity of sound is 320 m/s]

A 14.5 kg mass, fastened to the end of a steel wire of unstretched length 1.0 m, is whirled in a vertical circle with an angular velocity of 2 rev/s at the bottom of the circle. The cross-sectional area of the wire is 0.065 cm^2 . Calculate the elongation of the wire when the mass is at the lowest point of its path.

The terminal velocity of a copper ball of radius 2.0 mm falling through a tank of oil at 20^@C is 6.5 cm/s. Compute the viscosity of the oil at 20^@C . Given, rho_(oil) = 1.5 xx 10^3 kg//m^3, rho_(copper) = 8.9 xx 10^3 kg//m^3 .