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If You Confine an Electron to a Box and Know 65 m/s65 \mathrm {~m} / \mathrm { s }

Question 38

Multiple Choice

If you confine an electron to a box and know that the uncertainty in the electron's speed is 65 m/s65 \mathrm {~m} / \mathrm { s } , what is the smallest length that the box could have? (melectron =9.11×1031 kg,h=6.626×1034= 9.11 \times 10 ^ { - 31 } \mathrm {~kg} , h = 6.626 \times 10 ^ { - 34 } J.s)


A) 1.8×105 m1.8 \times 10 ^ { - 5 } \mathrm {~m}
B) 8.4×106 m8.4 \times 10 ^ { - 6 } \mathrm {~m}
C) 1.1×105 m1.1 \times 10 ^ { - 5 } \mathrm {~m}
D) 5.8×106 m5.8 \times 10 ^ { - 6 } \mathrm {~m}
E) 1.8×106 m1.8 \times 10 ^ { - 6 } \mathrm {~m}

Correct Answer:

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