The de Broglie wavelength of the matter wave associated with an object dropped from a height x, when it reaches the ground is proportional to

Question

The de Broglie wavelength of the matter wave associated with an object dropped from a height x, when it reaches the ground is proportional to (A) x2 (B) (1/√x) (C) √x (D) x3/2

Tardigrade Admin · Accepted Answer

λ=(h/m V)=(h/m √2 g n) ⇒ λ α (1/√x)

Q. The de Broglie wavelength of the matter wave associated with an object dropped from a height $x$ , when it reaches the ground is proportional to

$x^{2}$

$\frac{1}{x}$

$x$

$x^{3/2}$

$x$

$λ = \frac{h}{mV} = \frac{h}{m 2 g n}$
$\Rightarrow λ α \frac{1}{x}$

Q. The de Broglie wavelength of the matter wave associated with an object dropped from a height x, when it reaches the ground is proportional to

x2

x​1​

x​

x3/2

x

λ=mVh​=m2gn​h​ ⇒λαx​1​

Q. The de Broglie wavelength of the matter wave associated with an object dropped from a height $x$ , when it reaches the ground is proportional to

$x^{2}$

$\frac{1}{x}$

$x$

$x^{3/2}$

$x$

$λ = \frac{h}{mV} = \frac{h}{m 2 g n}$
$\Rightarrow λ α \frac{1}{x}$