A particle is droped from a height H. The de-broglie wavelength of the particle as a function of height is proportional to

Options

A. H
B. `H^(1//2)`
C. `H^(0)`
D. `H^(-1//2)`

Explanation

To solve the problem of finding the de Broglie wavelength of a particle dropped from a height \( H \) as a function of height, we can follow these steps:

### Step 1: Understand the situation
A particle is dropped from a height \( H \) with an initial velocity of 0. As it falls, it accelerates due to gravity.

### Step 2: Use the kinematic equation
We can use the kinematic equation to find the final velocity \( v \) of the particle just before it hits the ground. The equation we will use is:
\[
...