Advertisements
Advertisements
Question
State the ways by which the frequency of transverse vibrations of a stretch string can be increased
Advertisements
Solution
The frequency of transverse vibration is given by
f = `1/(2l) sqrt(T/(pir^2d))`
or `f = 1/(2l) sqrt(T/m)`
where l = length of the vibrating string
T = tension in the string
m = mass per unit length of the string
Therefore, the frequency of transverse vibration of a stretched string can be increased by
1) decreasing the length of the string
2) decreasing the radius of the string
3) increasing the tension T in the string
APPEARS IN
RELATED QUESTIONS
Give one reason for Ultrasonic waves use for echo depth sounding purpose.
Draw a graph between displacement and the time for a body executing free/natural vibrations.
State one condition for a body to execute free/natural vibrations.
State one way of increasing the frequency of a note produced by an air column.
Explain why strings of different thicknesses are provided on a stringed instrument.
[Hint: Natural frequency of vibration of a stretched string is inversely proportional to the radius (or thickness) of string so notes of different frequencies can be produces by vibrating different strings.]
A blade, fixed at one end, is made to vibrate by pressing its other end and then releasing it. State one way in which the frequency of vibrations of the blade can be lowered.
A wire stretched between two fixed supports, is plucked exactly in the middle and then released. It executes (neglect the resistance of the medium) ______.
Where can a body execute natural vibrations?
