Home
Class 11
PHYSICS
A guitar string is 90 cm long and has a ...

A guitar string is 90 cm long and has a fundamental frequency of 124 Hz. Where should it be pressed to produce a fundamatal frequecy of 186 Hz?

Text Solution

AI Generated Solution

To solve the problem, we will use the relationship between the frequency of a vibrating string and its length. The fundamental frequency (F) of a string is given by the formula: \[ F = \frac{1}{2L} \sqrt{\frac{F}{\mu}} \] Where: - \( F \) is the tension in the string, ...
Promotional Banner

Topper's Solved these Questions

  • WAVE MOTION AND WAVES ON A STRING

    HC VERMA|Exercise Short Answer|7 Videos
  • WAVE MOTION AND WAVES ON A STRING

    HC VERMA|Exercise Objective 1|22 Videos
  • WAVE MOTION AND WAVES ON A STRING

    HC VERMA|Exercise Exercises|57 Videos
  • THE FORCES

    HC VERMA|Exercise Exercises|12 Videos
  • WORK AND ENERGY

    HC VERMA|Exercise Exercises|64 Videos

Similar Questions

Explore conceptually related problems

A guitar string is 100 cm long and has a fundamental frequency of 125 Hz. Where should it be pressed to produce a fundamental frequency of 200 Hz.

A guitar string is 180 cm long and has a fundamental frequency of 90 Hz . Where should it be pressed to produce a fundamental frequency of 135 Hz ?

The length of string of a musical instrument is 90 cm and has fundamental frequency of 120 Hz where should it be pressed to produce fundamental frequency of 180 Hz

A guitar string of length L has a fundamental frequency. Where should it be pressed to produced another fundamental frequency. If the two fundamental frequenccis is f?

A string of length 105 cm produces fundamental frequency of 142 Hz. How much should its length be reduced to produce a fundamental frequency of 213 Hz.

A tube, open at only one end, is cut into two shorter (non equal) lengths. The piece that is open at both ends has a fundamental frequency of 425 Hz, while the piece open only at one end has a fundamental frequency of 675 Hz. What is the fundamental frequency of the original tube?

(i) A person hums in a wall and finds strong resonance at frequencies 60 Hz, 100Hz and 140 Hz . What is the fundamental frequency of the well? Explain? How deep is the wall ? (velocity of sound = 344 m// ). (ii) A violin string 33cm long vibrates at a fundamental frequency of 440 Hz . Where shold a finger be pressed on the string board so that its decreased length causes it to vibrate in its fundamental mode at five fourth of its original frequnency.

A stretched wire 60cm long emits a fundamental frequency of 240 Hz. By how much the length should be shortened so that it emits a fundamental note of 360 Hz?

A stretched wire 60cm long emits a fundamental frequency of 240 Hz. By how much the length should be shortened so that it emits a fundamental note of 360 Hz?