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3 years ago

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Find the average energy E for (a) An n-state system, in which a given state can have energy 0,,2,...,n . (b) A harmonic oscillat

or, in which a given state can have energy 0,,2,...(i.e., with no upper limit).

1 answer:

kicyunya [14]3 years ago

4 0

Answer:

a♦1 E_average = n E₀ / 2 , b) E_average= infinity

Explanation:

The energy values form an arithmetic series, whose sum is

S = n (a₁ + aₙ) / 2 = n (2a₁ + (n-1) r)/ 2

Where n is the number of terms, a₁ is the first term, aₙ the last term and r is the difference between two consecutive numbers in the series

r = 2E₀ - 0 = 2E₀

Therefore the sum is

S = n (0 + n E₀) / 2

S = n² E₀ / 2

The average value is

E_average = S / n

E_average = n E₀ / 2

b) the case of harmonic oscillation

We have two possibilities.

- if we take a finite number and terms gives the same previous value

- If we take an infinite number of fears the series gives infinity and the average is also infinite

E_average= infinity

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matrenka [14]

Answer:

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Explanation:

Let 'v' be the velocity of the players after collision.

Consider the east direction as positive direction.

Given:

Mass of the first player is, $m_1 = 91.5$ kg

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In order to solve this problem we use the law of conservation of momentum which says that the total momentum must be conserved before and after the collision. So we can write:

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Solving for v, we get:

$v = \frac{m_1 u_1+m_2 u_2}{m_1+m_2}=\frac{(91.5)(2.73)+(63.5)(3.09)}{91.5+63.5}=2.88\ m/s$

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Answer:

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Explanation:

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$\frac{hc}{\lambda } = eV_{o} + W_{o}$

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Answer:

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