A particle on a spring executes simple harmonic motion. When the particle is found at x  xmax/2 the speed of the particle is

Dear Fahim

 

I didn't get your question. Please attach an image of question. I will be happy to help you.

Therefore the maximum displacement of the particle will change by a factor of 2. Thus option (C) is correct.In simple harmonic motion,1) The time period (T) of vibrations varies inversely as the square root of the force constant (k) of the spring.2) The time period (T) of vibrations varies directly as the square root of the mass (m) of body attached to the string.Thus the time period of an object of mass m on a spring executes a simple harmonic motion is given by,