A string of length l along x-axis is fixed at both ends and is vibrating in second harmonic. If at `t=0`, `y=2.5mm` for incident wave, the equation of standing wave is (`T` is tension and `mu` is linear density)

In (Q. 24.) if at t = 0, y = 2.5 mm, the equation of standing wave is

A string of length l is fixed at both ends and is vibrating in second harmonic. The amplitude at anti-node is 2 mm. The amplitude of a particle at distance l//8 from the fixed end is

Standing Wave Vibrations of string fixed at both ends

One end of a taut string of length 3m along the x-axis is fixed at x = 0 . The speed of the waves in the string is 100ms^(-1) . The other end of the string is vibrating in the y-direction so that stationary waves are set up in the string. The possible wavelength (s) of these sationary waves is (are)

A uniform string of length l, fixed at both ends is vibrating in its 2nd overtone.The maximum amplitude is 'a' and tension in string is 'T', if the energy of vibration contained between two consecutive nodes is K/8 (a^2pi^2T)/l then 'K' is :

The equation for the vibration of a string fixed at both ends vibrating in its second harmonic is given by y=2sin(0.3cm^(-1))xcos((500pis^(-1))t)cm . The length of the string is :

The equation for the vibration of a string fixed at both ends vibrating in its third harmonic is given by y=2cm sin[(0.6cm^-1)x]cos[(500pis^-1)t] . The length of the string is

A string of mass 'm' and length l , fixed at both ends is vibrating in its fundamental mode. The maximum amplitude is 'a' and the tension in the string is 'T' . If the energy of vibrations of the string is (pi^(2)a^(2)T)/(etaL) . Find eta

A string of mass 'm' and length l , fixed at both ends is vibrating in its fundamental mode. The maximum amplitude is 'a' and the tension in the string is 'T' . If the energy of vibrations of the string is (pi^(2)a^(2)T)/(etaL) . Find eta