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Total energy = kinetic energy (KE) + potential energy(PE) KE > 0 since m and v2 is positive. If KE <0 particles cannot be find. If PE>TE, then KE<0 (now in all graph check for this condition) In case 1 kinetic energy is negative for x<a. So at x<a particle cannot be found. In case 2 for x<a and for x> b kinetic energy is negative. So the particle cannot be found in these regions. In the...
It cannot be said from the above-given graph whether the particle is moving along a straight line or along a parabolic path as the x-t graph does not tell us about the trajectory taken by the particle. From the given graph we can only say that the position of the particle along the x-axis does not change till time t=0 and after that it starts increasing in non-linear manner.
(i) (a) All the points vibrate with the same frequency of 60 Hz. (b) They all have the same phase as it depends upon time. (c) At different points, the amplitude is different and is equal to A(x) given by   (ii)   
Let the equation of oscillation be given by  Velocity would be given as  Kinetic energy at an instant is given by Time Period  is given by The Average Kinetic Energy would be given as follows The potential energy at an instant T is given by  The Average Potential Energy would be given by We can see Kav = Uav
Let A be a vector such that:-                  Then the magnitude of vector A is given by   :             Now let us assume that the angle made between vector A and x-axis is . Then we have:-                                                                                   Similarly, let B be a vector such that:-        The magnitude of vector B is     :                        Let  be the angle...
Purification of water for drinking is very important for some of the regions as the people living there are having many water-related diseases. Also, the pure water is limited so we need to develop many techniques for purification of the water. 
Development of new and powerful techniques of chemical and biological warfare is not good for society as it only has a bad effect on maintaining peace in the world. Further, they may also be used by terrorists which is harmful to safety for the citizens. 
Nuclear weapons are the most dangerous weapons in the current world as they may wipe off not only a country but they also have long term effects. Thus nuclear elements should only be used for the generation of electricity.
Scientists as other human have hobbies and are humorists. For e.g, Albert Einstein had the hobby of playing the violin. So apart from doing their serious work on physics they also have fun in their lifestyle. Thus the image of science and scientists is patently false which states that science is tough and boring. You may read a few of the books which supports the above statement and tell you...
There many equations that struck the physicist such as Newton's law of motion and the famous mass-energy equation of  Einstein which then became the path-breaking for the physics. Thus the given statement is true.
There are many examples in the world which shows women are nowhere behind the men. For e.g.  Indira Gandhi,  Mother Teresa, Kalpana Chawla etc. have proved themselves in their respective field. There might be some biological differences between men and women but that doesn't make men superior, at least not in the modern world.
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