What is the de Broglie wavelength of a photon with a momentum \( 4.4 \times 10^{-34} \mathrm{~kg} \cdot \mathrm{m} / \mathrm{s} \) ? Estimate \( \mathrm{h} \) as \( 6.63 \times 10^{-34} \mathrm{~J} \mathrm{~s} \) and keep 2 significant figures.
a \( 1.6 \mathrm{~m} \)
b \( 2.8 \mathrm{~m} \)
c \( 2.3 \mathrm{~m} \)
d \( 1.5 \mathrm{~m} \)
e \( 2.6 \mathrm{~m} \)

Answer

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Answer

\(\lambda = 1.51 \mathrm{~m}\)

Steps

Step 1 ：\(\lambda = \frac{h}{p}\)

Step 2 ：\(\lambda = \frac{6.63 \times 10^{-34} \mathrm{~J} \mathrm{~s}}{4.4 \times 10^{-34} \mathrm{~kg} \cdot \mathrm{m} / \mathrm{s}}\)

Step 3 ：\(\lambda = 1.51 \mathrm{~m}\)