JEE Advanced2011PhysicsOscillationsActual
Paragraph: Phase space diagrams are useful tools in analyzing all kinds of dynamical problems. They are especially useful in studying the changes in motion as initial position and momentum are changed. Here we consider some simple dynamical systems in one-dimension. For such systems, phase space is a plane in which position is plotted along horizontal axis and momentum is plotted along vertical axis. The phase space
Options
- AE₁= 2 E₂
- BE₁=2 E₂
- CE₁=2 E₂
- DE₁=16 E₂
Correct answer
C. E₁=2 E₂
Step-by-step solution
E= 1 2 m ^2 A^2 or aligned E & A^2 E₂ E₁ & = ( A₂ A₁ )^2 & = ( a 2 a )^2 aligned or E₁=4 E₂ Correct option is (c). Analysis of Question (i) Question is simple. (ii) Since, oscillator is same, ₁= ₂