Question

1. Calculate the de Broglie wavelength, in meters, of a 5500-lb sport-utility vehicle moving at 57 miles per hour.

2. Calculate the wavelength (in nanometers) associated with a positron moving at 5.8 × 104 m/s. The mass of a positron is 9.11 × 10-31 kg.

3. What is the maximum number of orbitals that can be identified with the following quantum numbers: n = 3, ℓ = 2?
a. 7
b. 5
c. 8
d. 18
e. 10

Answer 1

$\lambda=h/p$

$h=6.626×10^{-34}J-s$

$h=6.626×10^{-34}×2.205×6.21×10^{-4}×3600lb.(mile)^2/hr$

$m=5500 lb$

$v=57miles /hr$

$p=m×v=5500×57 lb.mile/hr$

$p=313500lb.(mile)/hr$

$\lambda=32.663×10^{-34}/313500 m$

$\lambda=1.042×10^{-38} m$ (answer)

2.$m=9.11×10^{-31}kg$

$v=5.8×10^4m/s$

$mv=9.11×10^{-31}×5.8×10^4kg.m/s$

$mv=52.838×10^{-27}kg.m/s$

$\lambda=h/p$

$\lambda=6.626×10^{-34}/52.838 ×10^{-27}m$

$\lambda=1.254×10^{-8}m$

$\lambda=12.54nm$ (answer)

3.$n=3$

$l=2$

Subshell - 3d

The subshell 3d contains 5 orbitals and each orbital contains 2 electrons.

(b)----answer