A steel rod 100 cm long is clamped at its middle. The fundamental frequency of longitudinal vibrations of the rod are given to be 2.53 kHz. What is the speed of sound in steel?

A steel wire has a length of 12.0 m and a mass of 2.10 kg. What should be the tension in the wire so thatspeed of a transverse wave on the wire equalsthe speed of sound in dry air at 20 ^@C = 343 m s^-1 .

A steel tape 1 metre long is correctly calibrated for temperature of 27.0^@C . The length of a steel rod measured by this tape is found to be 63.0 cm on a h ot day when the temperature is 45^@C . What is the actual length of the steel rod on that day? What is the length of the same steel rod on a day when the temperature is 27.0^@C ? Coefficient of linear expansion of steel = 1.20 xx 10^-5 C^-1 .

A brass rod of length 50 cm and diameter 3.00 mm is joined to a steel rod of the same length and diameter. What is the change in length of the combined rod at 250^@C , if the original lengths are at 40.0^@C ? Is there a 'thermal stress' developed at the junction? The ends of the rod are free to expand coefficent of linear expansion of brass = 2.0 xx 10^-5 ^@C^-1 , steel = 1.2 xx 10^-5 ^@C^-1 ).

A resonance pipe is open at both ends and 30 cm of its length is in resoance with an external frequency 1.1 kHz.If the speed of sound is 330 m s^(-1) which harmonic is in resonance?

The ends of a rod AB which is 5 m long moves along two grooves OX, OY which are at right angles. If A moves 2 at a constant speed of 1/2 m/s, what is the speed of B, when it is 4 m from O?

The transvers displacement of a string (clamped at its both ends) is given by y(x,t) = 0.06 sin ((2pi)/(3)s) cos (120 pit) Where x and y are in m and t in s. The length of the string 1.5 m and its mass is 3.0 xx 10^(-2) kg. Interpret the wave as a superposition of two waves travelling in opposite directions. What is the wavelength, frequency, and speed of each wave ?

A steel rod (Y = 2.0 xx 10^11 N m^-2) and alpha = 10^-5 ^@C^-1) of length 1 m and area of cross-section 1 cm62 is heated form 0 ^@C to 200 ^@C , without being allowed to extend or bend. What is the tension produced in the rod?

A magnetised steel wire 31.4cm long has a pole strength of 0.2Am. It is bent in the form of a semicircle. Calcualte its magnetic moment.