Question

(i) Which of the following transition will have minimum wavelength and
why?
n4---->n1, n4------>n2, n2------>n1
(ii) The uncertainty in the position of a moving bullet of mass 10g is 10^-5 m.
Calculate the uncertainty in it's velocity.​

Answer 1

Answer:

n₄ to n₁ will have the minimum wavelength.

Explanation:

When an electron jumps from one level to another level it loses some energy which is emitted in the form of Electromagnetic radiation, hence the more the level an electron jumps, the more energy it will emit,

In the above question, n₄ to n₁ will have the highest number of state change, so it will have the highest energy emitted,

Since energy is inversely proportional to wavelength as,

E = hc/λ

Hence n₄ to n₁ will have the minimum wavelength.

Answer 2

Answer:

for second question answer is 5.25 ×10⁻³¹

by using the formula for heisenburg's uncertainity principle,

Δx.Δv≥h/4πm

just put values and solve : m= 10g , h = 6.6 ×10⁻³⁴ and Δx ⇒which is position uncertianity = 10⁻⁵m