An electron is continuonsly accelerated in vacume tube by appliying potential difference if its de Brogle wavelength is decresed by `1%` the change in the kinetic energy of the electron is nearly

Options

A. Decreased by `1.0%`
B. Increased by `2.0%`
C. increased by `1.0%`
D. Decreased by `2.0%`

Explanation

To solve the problem step by step, we need to analyze the relationship between the de Broglie wavelength and the kinetic energy of the electron.

### Step 1: Understand the relationship between de Broglie wavelength and kinetic energy
The de Broglie wavelength (\( \lambda \)) of a particle is given by the formula:
\[ \lambda = \frac{h}{p} \]
where \( h \) is Planck's constant and \( p \) is the momentum of the particle. For an electron, the momentum can be expressed in terms of its kinetic energy (KE) as:
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