A charge particle of mass m and charge q moving with velocity v. It is passed through an accelerator so that its speed increases by 10%. If percentage increase in its kinetic energy is x, then find value of x/3
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Given:
A charge particle of mass m and charge q moving with velocity v. It is passed through an accelerator so that its speed increases by 10%.
To find:
x is % change in KE. Now x/3 = ?
Calculation:
Initial KE = ½mv² .
Now, new velocity is
So, new KE = ½m(11v/10)²
=> new KE = ½mv² × 121/100
So, % change in KE :
So, value of x/3 is 7%.
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