0

Guest

Courses New

The contituent wave of a stationary wave have amplitude, frequency and velocity as 8 cm, 25 Hz and 150 cm/s respectively. What is the amplitude of the stationary wave at x = 2 cm ?

The contituent wave of a stationary wave have amplitude, frequency and velocity as 8 cm, 25 Hz and 150 cm/s respectively. What is the amplitude of the stationary wave at x = 2 cm ?

Grade:11

2 Answers

Arun
25750 Points
5 years ago
The question can be solved by drawing a graph or either by usin the below stated method :
Find the wavelength of the wave 
Velocity = Wavelength × Frequency
150 cm/s = Wavelength × 25 Hz
Wavelength = 150 ÷ 25
=> Wavelength = 6 cm
A CREST AND A TROUGH MAKE ONE WAVELENGTH
On comparing with the sine wave, 
180° = 6 cm and
hence value of 1 I.e. maximum value = 8 cm
=> 60° = 2cm
=> sin 60° = root (3) / 2
if 1 = 8cm
=> { sqrt (3) / 2 }= 8 × sqrt (3) / 2 cm
=> at x = 2cm 
Amplitude = 4 × sqrt (3)
 
 
Regards
Arun (askIITians forum expert)
Abhishek Dogra
34 Points
5 years ago
But the answer is 8√3 ,..............................................................................

Think You Can Provide A Better Answer ?

Other Related Questions on AIIMS MBBS

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More