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A graph of potential energy V(x) verses x is shown in figure .A particle of energy E_(0) is executing motion in it . Draw graph of velocity and kinetic energy verses x for one complete cycleAFA.

Answer» <html><body><p></p>Solution :We <a href="https://interviewquestions.tuteehub.com/tag/know-534065" style="font-weight:bold;" target="_blank" title="Click to know more about KNOW">KNOW</a> that<br/> Total `E = K +U ` <br/> `E = K+V(x) "" ( :. U = V(x))` <br/> `K = E_(0)-V(x) "" ( :. E =E_(0))` <br/> at A , x = 0 ,V(x) = `E_(0)` <br/> ` :.K =E_(0)-E_(0)=0` <br/> at B , `V(x) lt E_(0)` <br/> ` :. K =E_(0)` (Maximum) <br/> K=0 <br/> At F, <br/> the variation is as below , <br/> <img src="https://doubtnut-static.s.llnwi.net/static/physics_images/KPK_AIO_PHY_XI_P1_C06_E04_034_S01.png" width="80%"/> <br/> <a href="https://interviewquestions.tuteehub.com/tag/velocity-1444512" style="font-weight:bold;" target="_blank" title="Click to know more about VELOCITY">VELOCITY</a> versus x graph : <br/> As `KE =1/2 mv^(2)` <br/> ` :. ` At A and F , where KE = 0 , v = 0 <br/> At C and d , KE is maximum .Therefore , v is `<a href="https://interviewquestions.tuteehub.com/tag/pm-1156895" style="font-weight:bold;" target="_blank" title="Click to know more about PM">PM</a>` <a href="https://interviewquestions.tuteehub.com/tag/max-546895" style="font-weight:bold;" target="_blank" title="Click to know more about MAX">MAX</a> . <br/> At B . KE is positive but not maximum . <br/> Therefore , v is `pm ` some value ( `lt` max) <br/> The variation is shown in the <a href="https://interviewquestions.tuteehub.com/tag/diagram-950736" style="font-weight:bold;" target="_blank" title="Click to know more about DIAGRAM">DIAGRAM</a> . <br/> <img src="https://doubtnut-static.s.llnwi.net/static/physics_images/KPK_AIO_PHY_XI_P1_C06_E04_034_S02.png" width="80%"/></body></html>


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