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The equation for energy (E) of a simple ...

The equation for energy (E) of a simple harmonic oscillator, `E = (1)/(2) mv^(2)+(1)/(2)+ omega^(2)x^(2)`?, is to be made "dimensionless" by multiplying by a suitable factor, which may involve the constants, m(mass), `omega`(angular frequency) and h(Planck's constant). What will be the unit of momentum and length?

Text Solution

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The correct Answer is:
`E/(homega)=(1)/(2)(mv^(2))/(homega)+(omegamx^(2))/(2h);sqrt(momegah);sqrt(h/momega)`
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