Basic Maths and Units and DimensionsHard
Question
Two independent harmonic oscillators of equal mass are oscillating about the origin with angular frequencies ω1 and ω2 and have total energies E1 and E2, respectively. The variations of their momenta p with positions x are shown in the figures. If 
= n2 and 
= n, then the correct equation (s) is (are)
= n2 and = n, then the correct equation (s) is (are)Options
A.E1ω1 = E2ω2
B.
= n2
= n2C.ω1ω2 = n2
D.
Solution
P1 max = maω1 = b
P2 max = mRω2 = R
= n2
E1 =
m ω12a2
E2 =
mω22R2
P2 max = mRω2 = R
= n2E1 =
m ω12a2E2 =
mω22R2Create a free account to view solution
View Solution FreeTopic: Basic Maths and Units and Dimensions·Practice all Basic Maths and Units and Dimensions questions
More Basic Maths and Units and Dimensions Questions
A wave travelling in the +ve x-direction having displacement along y-direction as 1m, wavelength 2π m and frequency...A uniform solid cylindrical roller of mass ′m′ is being pulled on a horizontal surface with force F parallel...Standard enthalpy of vaporisation ᐃvapHo for water at 100oC is 40.66 kJ mol-1. The internal energy of vaporisation...The value of cot cot-1 is...I is the image of a point object O formed by spherical mirror then which of the following statement(s) is/ are CORRECT?...