Figure shown a clamped metal string of length `30 cm` and linear mass density `0.1 kg //m`. Which is taut at a tension of `40N`. A small rider `(` piece of paper `)` is placed on string at point `P` as shown. An external vibrating tuning fork is brought near this string and oscillations of rider are carefully observed.

At which of the following frequencies of turning fork, rider will not vibrate at all `:`

Figure shown a clamped metal string of length 30 cm and linear mass density 0.1 kg //m . Which is taut at a tension of 40N . A small rider ( piece of paper ) is placed on string at point P as shown. An external vibrating tuning fork is brought near this string and oscillations of rider are carefully observed. At which of the following frequencies the point P on string will have maximum oscillation amplitude among all points on string :

Figure shown a clamped metal string of length 30 cm and linear mass density 0.1 kg //m . Which is taut at a tension of 40N . A small rider ( piece of paper ) is placed on string at point P as shown. An external vibrating tuning fork is brought near this string and oscillations of rider are carefully observed. At which of the following frequencies the point P on string will have maximum oscillation amplitude among all points on string :

Figure shown a clamped metal string of length 30 cm and linear mass density 0.1 kg //m . Which is taut at a tension of 40N . A small rider ( piece of paper ) is placed on string at point P as shown. An external vibrating tuning fork is brought near this string and oscillations of rider are carefully observed. Now if the tension in the string is made 160N , at which of the following frequencies of turning fork , rider will not vibrate at all

Figure shown a clamped metal string of length 30 cm and linear mass density 0.1 kg //m . Which is taut at a tension of 40N . A small rider ( piece of paper ) is placed on string at point P as shown. An external vibrating tuning fork is brought near this string and oscillations of rider are carefully observed. Now if the tensio in the string is made 160N , at which of the following frequencies of turning fork , rider will not vibrate at all

A string of length 0.5m and linear density 10^(-4) kg/m is stretched under a tension of 100 N. If the frequency of the vibration of the string is 4000 Hz, how many loops are formed on the string?

A string has linear mass density m = 0.1 kg // m . A L = 60 cm segment of the string is clamped at A and B and is kept under a tension of T = 160 N [The tension providing arrangement has not been shown in the figure]. A small paper rider is placed on the string at point R such that BR = 20 cm . The string is set into vibrations using a tuning fork of frequency f . (a) Calculate all values of f below 1000 Hz for which the rider will not vibrate at all. (b) Calculate all values of f below 1000 Hz for which the rider will have maximum oscillation amplitude among all points on the string.