JEE Advanced2010PhysicsOscillationsActual
Paragraph: When a particle of mass m moves on the x -axis in a potential of the form V(x)=k x^2 , it performs simple harmonic motion. The corresponding time period is proportional to m k , as can be seen easily using dimensional analysis. However, the motion of a particle can be periodic even when its potential energy increases on both sides of x=0 in a way different from k x^2 and its total energy is such that the p
Options
- AA m
- B1 A m
- CA m
- D1 A m
Correct answer
B. 1 A m
Step-by-step solution
[ ]= [ PE x^4 ]= [ ML ^2 ~T ⁻² ~L ^4 ]= [ ML ⁻² ~T ⁻² ] array ll & [ m ]= [ L ^2 ~T ^2 ] & [ 1 A m ]=[ T ] array As dimensions of amplitude A is [L]. Hence, the correct option is (b).