Where to pluck and where to touch a stretched string to excite its first overtone ?

A string clamped at both ends vibrates in its fundamental mode. Is there any position (except the ends) on the string which can be touched without disturbing the motion ? What if the string vibrates in its first overtone ?

The first overtone of a stretched string of given length is 320 Hz. The first harmonic is

Discuss the formation of harmonics in a stretched string. Show that in case of a stretched string the first four harmonics are in the ratio 1 : 2 : 3 : 4.

When the string of a sonometer of length L between the bridges vibrates in the first overtone , the amplitude of vibration is maximum at

A string of length 50 cm and mass 12.5 g is fixed at both ends. A pipe closed at one end has a length 85 cm . When the string vibrates in its second overtone and the air column in the pipe in its first. Overtone, they produce a beats frquency of 6 Hz . It is also observed that decreasing teh tension in the string decreaes beats frequency. Neglect the end correction in the pipe and velocity of sound in air is 340 m//s . then the tension in the string is

A lizard where head and neck turn red on being excited is

When the string of the sonometer of length l between the bridges vibrates in the first overtone, then the antinode formed from one end of the string will be

A closed organ pipe of radius r_(1) and an open organ pipe of radius r_(2) and having same length 'L' resonate when excited with a given tuning fork. Closed organ-pipe resonates in its fundamental mode where as open organ pipe resonates in its first overtone, then :-

Two strings of the same material and the same area of cross-section are used in an wxperiment. One is loaded with 12 kg and the other with 3 kg The fundamental fequency of the first string is equal to the first overtone of the second string. If the length of the second string is 100 cm, then the length of the first string is