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Energy for a particle in 1-D box is given by En = 72h2/ma2 where ‘a’ is length of box. Find its quantum mechanical state?
Correct answer is '24'. Can you explain this answer?
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Energy for a particle in 1-D box is given by En = 72h2/ma2 where &lsqu...
En is the energy of the particle in the nth energy level, h is Planck's constant, m is the mass of the particle, and a is the length of the box.
To find the energy for a particle in the 1-D box, we need to know the values of n, h, m, and a.
Let's assume that n = 1, h = 6.626 x 10^-34 J·s (Planck's constant), m = 1 kg, and a = 1 m.
Substituting these values into the equation, we get:
E1 = (72 * (6.626 x 10^-34 J·s)^2) / (1 kg * (1 m)^2)
Calculating this expression, we find:
E1 ≈ 2.82 x 10^-16 J
Therefore, the energy of the particle in the first energy level of the 1-D box is approximately 2.82 x 10^-16 Joules.
To find the energy for a particle in the 1-D box, we need to know the values of n, h, m, and a.
Let's assume that n = 1, h = 6.626 x 10^-34 J·s (Planck's constant), m = 1 kg, and a = 1 m.
Substituting these values into the equation, we get:
E1 = (72 * (6.626 x 10^-34 J·s)^2) / (1 kg * (1 m)^2)
Calculating this expression, we find:
E1 ≈ 2.82 x 10^-16 J
Therefore, the energy of the particle in the first energy level of the 1-D box is approximately 2.82 x 10^-16 Joules.
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Energy for a particle in 1-D box is given by En = 72h2/ma2 where ‘a’ is length of box. Find its quantum mechanical state?Correct answer is '24'. Can you explain this answer?
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