हिंदी
कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान कक्षा ११

The wave pattern on a stretched string is shown in figure. Interpret what kind of wave this is and find its wavelength. - Physics

Advertisements
Advertisements

प्रश्न

The wave pattern on a stretched string is shown in figure. Interpret what kind of wave this is and find its wavelength.

संख्यात्मक
Advertisements

उत्तर

All particles are at rest at t = `T/4` and t = `(3T)/4`, which is in the stationary wave when the particle crosses its mean position.

Thus, the graph shows a stationary wave. The wave at x = 10, 20, 30, 40 cm there are nodes and the distance between successive nodes is `λ/2`.

∴ `λ/2 = (30 - 20)`

⇒ λ = 20 cm

shaalaa.com
Reflection of Waves - Standing Waves and Normal Modes
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 15: Waves - Exercises [पृष्ठ ११०]

APPEARS IN

एनसीईआरटी एक्झांप्लर Physics [English] Class 11
अध्याय 15 Waves
Exercises | Q 15.28 | पृष्ठ ११०

संबंधित प्रश्न

A pipe 20 cm long is closed at one end. Which harmonic mode of the pipe is resonantly excited by a 430 Hz source? Will the same source be in resonance with the pipe if both ends are open? (Speed of sound in air is 340 m s–1).


Explain why (or how) In a sound wave, a displacement node is a pressure antinode and vice versa,


Two wires are kept tight between the same pair of supports. The tensions in the wires are in the ratio 2 : 1 the radii are in the ratio 3 : 1 and the densities are in the ratio 1 : 2. Find the ratio of their fundamental frequencies.


The number of possible natural oscillations of the air column in a pipe closed at one end of length 85 cm whose frequencies lie below 1250 Hz? (v = 340 m/s)


The displacement of a string is given by y (x, t) = 0.06 sin (2πx/3) cos (120 πt) where x and y are in m and t in s. The length of the string is 1.5 m and its mass is 3.0 × 10−2 kg.

  1. It represents a progressive wave of frequency 60 Hz.
  2. It represents a stationary wave of frequency 60 Hz.
  3. It is the result of superposition of two waves of wavelength 3 m, frequency 60 Hz each travelling with a speed of 180 m/s in opposite direction.
  4. Amplitude of this wave is constant.

The transverse displacement of a string (clamped at its both ends) is given by y(x, t) = 0.06 sin (2πx/3) cos (120 πt). All the points on the string between two consecutive nodes vibrate with ______.

  1. same frequency
  2. same phase
  3. same energy
  4. different amplitude.

A sonometer wire is vibrating in resonance with a tuning fork. Keeping the tension applied same, the length of the wire is doubled. Under what conditions would the tuning fork still be is resonance with the wire?


A pipe 20 cm long is closed at one end. Which harmonic mode of the pipe is resonantly excited by a source of 1237.5 Hz? (sound velocity in air = 330 ms–1)


A tuning fork vibrating with a frequency of 512 Hz is kept close to the open end of a tube filled with water (Figure). The water level in the tube is gradually lowered. When the water level is 17 cm below the open end, maximum intensity of sound is heard. If the room temperature is 20°C, calculate

  1. speed of sound in air at room temperature
  2. speed of sound in air at 0°C
  3. if the water in the tube is replaced with mercury, will there be any difference in your observations?

Two identical strings X and Z made of same material have tension Tx and Tz in them If their fundamental frequencies are 450 Hz and 300 Hz, respectively, then the ratio `"T"_x/"T"_"z"` is ______.


Shown in the figure is rigid and uniform one meter long rod AB held in horizontal position by two strings tied to its ends and attached to the ceiling. The rod is of mass 'm' and has another weight of mass 2m hung at a distance of 75 cm from A. The tension in the string at A is :


A wire of length 2L is made by joining two wires A and B of the same length but different radii r and 2r, and made of the same material. It is vibrating at a frequency such that the joint of the two wires forms a node. If the number of antinodes in wire A is p and that in B is q then the ratio p : q is ______.


Two closed end pipes when sounded together produce 5 beat per second. If their length are in the ratio 100 : 101, then fundamental notes produced by them are ______.


A string 2.0 m long and fixed at its ends is driven by a 240 Hz vibrator. The string vibrates in its third harmonic mode. The speed of the wave and its fundamental frequency is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×