Question

Change in angular momentum jumps from 4th to 1st orbit

Answer 1

$\huge\mathbb{\purple{QUESTION-}}$

Change in angular momentum jumps from 4th to 1st orbit.

$\huge\mathbb{\purple{SOLUTION-}}$

$\large\underline{\underline{\sf Given:}}$

• Orbits ${\sf (n_1)=4\:\:n_2\:=1}$

$\large\underline{\underline{\sf To\:Find:}}$

• Change in Angular momentum (∆L)

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$\large{\boxed{\sf {\pink L=\dfrac{nh}{4π}}}}$

$\implies{\sf \triangle L = \dfrac{n_1h}{2π}-\dfrac{n_2h}{2π}}$

$\implies{\sf \dfrac{4h}{2π}-\dfrac{1h}{2π} }$

$\implies{\sf \dfrac{4h-1h}{2π} }$

$\implies{\sf \dfrac{3h}{2π} }$

Here , h = ${\sf 6.6×10^{-34}}$

⠀⠀⠀⠀π = 3.14

$\implies{\sf \dfrac{3×6.6×10^{-34}}{2×3.14} }$

$\implies{\bf \red{\triangle L = 3.15×10^{-34}J-s} }$

$\huge\mathbb{\purple {SOLUTION-}}$

Change in Angular momentum ${\bf \red {\triangle L = 3.15×10^{-34}J-s}}$