# It is confusing me a bit... My answer is coming really veery different.. help.. let us assume x has dimension of length, i.e. m Since dimension of V(x) is joules, dimension of α is N (Newton, force unit) Argument of sine function does not have unit. Hence unit of β is joules and unit of γ is m-1     if we analyze different combination (A)  :- if you workout the dimensional analysis for other combinations, you will not get the end result as unitless combination.   Hence option(A) is the correct answer Answered by  | 4th Dec, 2017, 11:55: AM Related Videos Potential Energy This video explains the gravitational potential energy and finding out the ... Conservation of Total Mechanical Energy This video explains the derivation of the principle of conservation of tota... Potential Energy and Mechanical Energy - Exam Decoded This video contains practice questions on potential energy and the conserva... \$(window).on('load', function(){ if(showAds){ googletag.cmd.push(function() { googletag.defineSlot('/1039154/TopperLearning_WEB/TL_WEB_728x90_BTF', [[970, 90],[728, 90],[468, 60]], 'div-gpt-ad-1539848643692-article-detail-btf').addService(googletag.pubads()).setCollapseEmptyDiv(true); //googletag.pubads().enableSingleRequest(); // googletag.enableServices(); }); } }); \$(window).on('load', function(){ if(showAds){ googletag.cmd.push(function() { googletag.display('div-gpt-ad-1539848643692-article-detail-btf'); }); } }); All Questions Ask Doubt State the law of conservation of energy. An airplane with a mass of 2000 kg sinks 1000 metres moving forward a horizontal distance of 10,000 metres. What will be its new potential energy? (Take g = 10 m/s2) What is the source of the kinetic energy of the falling rain drop? Explain why the water at the foot of the waterfall is at different temperature from that at the top? A body is moving with the speed of 30 m/s. How high can it be lifted to gain an amount of potential energy equal to its kinetic energy. (Take g = 10 m/s2) A body falling from the height of 10 m rebounds from the hard surface. It loses 20% of its energy in impact. What is the height to which it would raise after the impact and where this energy goes after hitting the surface? Two springs have force constants k1 and k2 where k1 > k2. On which spring, more work is done if they are stretched by the same magnitude of force.  If a block attached to a spring (whose one end is fixed) is pulled up to a distance xo and released, the amplitude of its motion cannot exceed why? Draw a plot of spring force versus displacement x. Hence find an expression for the P.E of an elastic spring. The potential energy of a spring when stretched through a distance x is 20 J. What amount of work has to be done on the same spring to stretch it through an additional distance x? Queries asked on Sunday & after 7pm from Monday to Saturday will be answered after 12pm the next working day.

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