Physics-
General
Easy

Question

In a sine wave, position of different particles at time t equals 0 is shown in figure. The equation for this wave travelling along positive x minus a x i s can be

  1. y equals A blank s i n invisible function application left parenthesis omega t minus k x right parenthesis    
  2. y equals A cos invisible function application open parentheses k x minus omega t close parentheses    
  3. y equals A cos invisible function application open parentheses omega t minus k x close parentheses    
  4. y equals A blank s i n invisible function application left parenthesis k x minus omega t right parenthesis    

The correct answer is: y equals A blank s i n invisible function application left parenthesis k x minus omega t right parenthesis


    As is clear from figure, att equals 0 comma x equals 0, displacementy equals 0. Therefore, option (a)or (d)may be correct.
    In case of (d);y equals A sin invisible function application left parenthesis k x minus omega t right parenthesis
    fraction numerator d y over denominator d t end fraction equals A cos invisible function application left parenthesis k x minus omega t right parenthesis open square brackets negative omega close square brackets
    fraction numerator d y over denominator d x end fraction equals A cos invisible function application left parenthesis k x minus omega t right parenthesis open square brackets k close square brackets
    fraction numerator fraction numerator d y over denominator d t end fraction over denominator d y divided by d x end fraction equals fraction numerator negative omega A cos invisible function application left parenthesis k x minus omega t right parenthesis over denominator k A cos invisible function application left parenthesis k x minus omega t right parenthesis end fraction equals negative fraction numerator omega over denominator k end fraction equals negative v
    fraction numerator d y over denominator d t end fraction equals negative v open parentheses fraction numerator d y over denominator d x end fraction close parentheses
    i e blank p a r t i c l e blank v e l o c i t y equals negative left parenthesis w a v e blank s p e e d right parenthesis cross times s l o p e.
    And slope at x equals 0 and t equals 0is positive, in figure. Therefore, particle velocity is in negative y-direction.

    Related Questions to study

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.