You want to calculate the energy of a photon with wavelength 400 nm using scipy.constants. Which code snippet correctly uses physical constants to compute this energy in joules?
hard📝 Application Q15 of 15
SciPy - Constants and Special Functions
You want to calculate the energy of a photon with wavelength 400 nm using scipy.constants. Which code snippet correctly uses physical constants to compute this energy in joules?
Aimport scipy.constants as sc
wavelength = 400e-9
energy = sc.h * sc.c / wavelength
print(energy)
Bfrom scipy.constants import h, c
wavelength = 400
energy = h * c / wavelength
print(energy)
Cimport scipy.constants as sc
wavelength = 400e-9
energy = sc.h * wavelength / sc.c
print(energy)
Dfrom scipy.constants import h
wavelength = 400e-9
energy = h / wavelength
print(energy)
Step-by-Step Solution
Solution:
Step 1: Recall the photon energy formula
Energy of a photon is E = h * c / wavelength, where h is Planck's constant, c is speed of light, and wavelength is in meters.
Step 2: Check each code snippet for correctness
import scipy.constants as sc
wavelength = 400e-9
energy = sc.h * sc.c / wavelength
print(energy) correctly imports constants, converts wavelength to meters (400e-9), and applies the formula. from scipy.constants import h, c
wavelength = 400
energy = h * c / wavelength
print(energy) uses wavelength as 400 (missing unit conversion). import scipy.constants as sc
wavelength = 400e-9
energy = sc.h * wavelength / sc.c
print(energy) incorrectly multiplies h by wavelength and divides by c. from scipy.constants import h
wavelength = 400e-9
energy = h / wavelength
print(energy) misses speed of light constant.
Final Answer:
import scipy.constants as sc
wavelength = 400e-9
energy = sc.h * sc.c / wavelength
print(energy) -> Option A
Quick Check:
Correct formula and units = import scipy.constants as sc
wavelength = 400e-9
energy = sc.h * sc.c / wavelength
print(energy) [OK]
Quick Trick:Use E = h * c / wavelength with wavelength in meters [OK]
Common Mistakes:
MISTAKES
Not converting wavelength to meters
Forgetting speed of light in formula
Mixing multiplication and division order
Master "Constants and Special Functions" in SciPy
9 interactive learning modes - each teaches the same concept differently
