Instructions

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 diagram is x(t) vs p(t) curve in this plane. The arrow on the curve indicates the time flow. For example, the phase space diagram for a particle moving with constant velocity is a straight line as shown in the figure. We use the sign convention in which position or momentum upwards (or to right) is positive and downwards (or to left) is negative.

Question 36

The phase space diagram for simple harmonic motion is a circle centered at the origin. In the figure, the two circles represent the same oscillator but for different initial conditions, and $$E_1$$ and $$E_2$$ are the total mechanical energies respectively. Then-

Create a FREE account and get:

Free JEE Advanced Previous Papers PDF
Take JEE Advanced paper tests

CAT Quant Questions | CAT Quantitative Ability

CAT Coordinate Geometry Questions CAT Time, Distance and Work Questions CAT Quadratic Equations Questions CAT Geometry Questions CAT Number Systems Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Venn Diagrams Questions CAT Games and Tournamnents Questions CAT Puzzles Questions CAT DI Miscellaneous Questions CAT DI with connected data sets Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Verbal Ability Questions CAT Vocabulary Questions CAT Critical Reasoning Questions CAT Odd One Out Questions CAT Para Summary Questions

Follow us on

Boost your Prep!

Download App