Calculate the frequency of paritcle wave, when the kinetic energy of a sub-atomic particle is`3.79 xx 10^(-27) J`.
Hint `: KE = (1)/(2) mv^(2)`
`lambda = (h)/(mv) , lambda = ( v)/( v) `
`:. (v)/(v) = (h)/( mv), v= (mv^(2))/( h) = ( 2 xx ( 1)/(2) mv^(2))/( h) `

Explanation

To calculate the frequency of a particle wave when the kinetic energy of a sub-atomic particle is given as \(3.79 \times 10^{-27} \, \text{J}\), we can follow these steps:

### Step 1: Use the formula for kinetic energy
The kinetic energy (KE) of a particle is given by the formula:
\[ KE = \frac{1}{2} mv^2 \]
where \(m\) is the mass of the particle and \(v\) is its velocity.
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