String Fixed at Both Ends
A string, fixed at both ends, vibrates in a resonant node with a separation of 2.0 cm between the consecutive nodes. For the next higher resonant frequency, this separation is reduced to 1.6 cm. find the length of the string.
cannot be determined
1 kg m-1
The equation of a standing wave, produced on a string fixed at both ends, is y = (0.4 cm) sin[(0.314 cm−1)x] cos[(600 π s−1)t]
What could be the smallest length of the string?
None of these
A 2 m-long string fixed at both ends is set into vibrations in its first overtone. The wave speed on the string is 200 ms−1 and the amplitude is 0.5 cm. Write the equation giving the displacement of different points as a function of time. Choose the X-axis along the string with the origin at one end and t = 0 at the instant when the point x = 50 cm has reached its maximum displacement.
sin (πx) cos (200π t)
sin (2πx) cos (200π t)
sin (πx) cos (400π t)
sin (2πx) cos (400π t)
vibrate with a frequency of 208 Hz
vibrate with a frequency of 832 Hz
vibrate with a frequency of 416 Hz
A stone is hung in air from a wire which is stretched over a sonometer. The bridges of the sonometer are L cm apart when the wire is in unison with a tuning fork of frequency n. When the stone is completely immersed in water, the length between the bridges is l cm for re-establishing unison, the specific gravity of the material of the stone is