Tunneling Probability Practice Quiz: Test Your Quantum Logic

10th Grade

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| Questions: 20 | Updated: Mar 12, 2026

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1. In tunneling, 'transmission probability' refers to:

Probability the barrier disappears

Chance the particle is found on the far side of the barrier

Chance the particle becomes heavier

Chance the detector turns off

Concept: transmission vs reflection. Quantum barriers can partially transmit and partially reflect. Transmission probability tells how often detection occurs beyond the barrier.

Explanation

Concept: transmission vs reflection. Quantum barriers can partially transmit and partially reflect. Transmission probability tells how often detection occurs beyond the barrier.

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About This Quiz

Tunneling Probability Practice Quiz: Test Your Quantum Logic - Quiz

This assessment explores tunneling probability in quantum mechanics, evaluating your understanding of wave functions, potential barriers, and quantum phenomena. It's essential for learners aiming to grasp advanced concepts in quantum theory and applications, as it reinforces critical thinking and problem-solving skills in the context of quantum behavior.

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2. Even when a particle tunnels through, it may still be reflected in other trials.

True

False

Concept: probabilistic outcomes. Tunneling is not deterministic. The same setup can yield transmission in some runs and reflection in others.

Explanation

Concept: probabilistic outcomes. Tunneling is not deterministic. The same setup can yield transmission in some runs and reflection in others.

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3. Which change tends to increase tunneling probability the most?

Increase barrier thickness

Decrease barrier thickness

Increase barrier height

Decrease particle energy

Concept: strong thickness dependence. Thickness strongly affects how much the wave amplitude decays inside the barrier. Thinner barriers mean less decay and more transmission.

Explanation

Concept: strong thickness dependence. Thickness strongly affects how much the wave amplitude decays inside the barrier. Thinner barriers mean less decay and more transmission.

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4. A region where the wave function decreases rapidly is sometimes described as ______ inside the barrier.

Concept: evanescent/decay behavior. Inside a classically forbidden region, the wave-like solution often decreases. This decay is why thicker barriers reduce tunneling.

Explanation

Concept: evanescent/decay behavior. Inside a classically forbidden region, the wave-like solution often decreases. This decay is why thicker barriers reduce tunneling.

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5. If particle energy is closer to the barrier height (but still below), tunneling probability typically:

Decreases

Increases

Becomes exactly 50%

Becomes zero

Concept: energy dependence. Being closer to the barrier height makes the barrier effectively 'less severe.' This generally increases transmission.

Explanation

Concept: energy dependence. Being closer to the barrier height makes the barrier effectively 'less severe.' This generally increases transmission.

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6. A barrier can be both high and thin, and still allow noticeable tunneling.

True

False

Concept: two-parameter barrier. Tunneling depends on barrier height and width together. Thin barriers can permit significant tunneling even if the height is large.

Explanation

Concept: two-parameter barrier. Tunneling depends on barrier height and width together. Thin barriers can permit significant tunneling even if the height is large.

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7. In a simple model, the probability inside a barrier often decreases approximately:

Linearly with distance

Exponentially with distance

Randomly with no rule

Only as a square root

Concept: exponential dependence (qualitative). Many barrier problems show exponential decrease of amplitude in the forbidden region. That’s why small changes in thickness can cause big probability changes.

Explanation

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8. Which statement best explains why tunneling is sensitive to barrier thickness?

Thickness changes gravity

Exponential decay means small thickness changes can strongly change transmission

Thickness changes colour

Thickness changes time speed

Concept: exponential sensitivity. Exponential behavior makes the effect highly sensitive. A small extra thickness can reduce tunneling by a large factor.

Explanation

Concept: exponential sensitivity. Exponential behavior makes the effect highly sensitive. A small extra thickness can reduce tunneling by a large factor.

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9. In quantum tunneling, transmission probability is generally less than 1 for a barrier.

True

False

Concept: partial transmission. Barriers usually transmit some portion and reflect some portion. Only in special cases (not needed here) could transmission approach 1.

Explanation

Concept: partial transmission. Barriers usually transmit some portion and reflect some portion. Only in special cases (not needed here) could transmission approach 1.

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10. If a barrier gets taller (same width), tunneling probability generally:

Decreases

Increases

Stays constant

Becomes negative

Concept: barrier height effect. A taller barrier increases the 'forbiddenness' for a given energy. That makes transmission less likely.

Explanation

Concept: barrier height effect. A taller barrier increases the 'forbiddenness' for a given energy. That makes transmission less likely.

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11. The two main barrier properties are its height and its ______.

Concept: barrier parameters. Both height and width shape tunneling probability. Changing either can strongly affect transmission.

Explanation

Concept: barrier parameters. Both height and width shape tunneling probability. Changing either can strongly affect transmission.

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12. Which is a nuclear example of tunneling?

Convection

Alpha decay

Evaporation

Reflection of light

Concept: nuclear tunneling. In alpha decay, an alpha particle escapes by tunneling through a barrier. This explains decay even when classical trapping seems expected.

Explanation

Concept: nuclear tunneling. In alpha decay, an alpha particle escapes by tunneling through a barrier. This explains decay even when classical trapping seems expected.

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13. Tunneling helps explain why some nuclear decays happen at measurable rates.

True

False

Concept: decay rates. The probability of tunneling per unit time influences the decay rate. Different barrier shapes lead to very different half-lives.

Explanation

Concept: decay rates. The probability of tunneling per unit time influences the decay rate. Different barrier shapes lead to very different half-lives.

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14. If two particles have the same energy but one is heavier, tunneling probability is generally:

Higher for the heavier one

Lower for the heavier one (qualitative)

The same always

Negative

Concept: mass effect (qualitative). Heavier particles tend to have shorter wavelengths and 'penetrate' less in the barrier in simple models. That often reduces tunneling probability.

Explanation

Concept: mass effect (qualitative). Heavier particles tend to have shorter wavelengths and 'penetrate' less in the barrier in simple models. That often reduces tunneling probability.

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15. Which changes can increase tunneling probability?

Lower barrier height

Reduce barrier width

Increase particle energy (still below barrier)

Increase barrier width

Concept: how to increase transmission. Lowering height, reducing width, or increasing energy generally increases transmission. Increasing width usually decreases it.

Explanation

Concept: how to increase transmission. Lowering height, reducing width, or increasing energy generally increases transmission. Increasing width usually decreases it.

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16. Because tunneling is probabilistic, a single observation doesn’t determine the tunneling probability.

True

False

Concept: need statistics. One event can be transmitted or reflected. The probability is estimated from many repeated trials.

Explanation

Concept: need statistics. One event can be transmitted or reflected. The probability is estimated from many repeated trials.

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17. The 'classically forbidden region' in tunneling is where:

The particle speed is infinite

Energy is lower than the potential barrier

The particle has no mass

The detector stops working

Concept: forbidden region definition. Classically, motion would not occur there because the particle lacks sufficient energy. Quantum mechanics can still assign a non-zero probability amplitude there.

Explanation

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18. Which best describes why tunneling does not break energy conservation?

Energy conservation is optional

Quantum rules allow probability across the barrier without creating extra energy

The barrier provides free energy

Energy disappears permanently

Concept: conservation with probabilities. Tunneling changes where the particle may be detected, not the total energy bookkeeping. The system still follows conservation laws in the quantum description.

Explanation

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19. For macroscopic objects, tunneling is so unlikely that it is effectively never observed.

True

False

Concept: classical limit. Large masses make tunneling probabilities astronomically small. That’s why classical intuition works for everyday objects.

Explanation

Concept: classical limit. Large masses make tunneling probabilities astronomically small. That’s why classical intuition works for everyday objects.

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20. Grade 10 wrap-up: the strongest 'rule of thumb' for tunneling probability is that it:

Depends only on colour

Drops rapidly as barrier width/height increase (often very strongly)

Is always 100%

Is independent of energy

Concept: strong barrier dependence. Barrier width and height strongly suppress tunneling. This explains why tunneling can be significant in nanoscale systems but negligible in daily life.

Explanation

Concept: strong barrier dependence. Barrier width and height strongly suppress tunneling. This explains why tunneling can be significant in nanoscale systems but negligible in daily life.

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