Explanation Given data: Length of the box is 0.7 nm. Initial energy level of the electron is 2. Final energy level of the electron is 0. Formula used: Write the expression for the energy of the nth quantum state. E n = n 2 E 1 (1) Here, E n is the energy of the nth quantum state and E 1 is the energy of the lowest energy level. Write the expression for minimum energy of confined electron. E n = h 2 8 m L 2 n 2 (2) Here, E is the energy, h is the plank’s constant with value 6.63 × 10 − 34 J ⋅ s , m is the mass of the electron, n is the integral multiple, and L is the length of the box. Write the expression for photon’s energy and wavelength. E photon = h c λ (3) Here, h is the plank’s constant with value 6.63 × 10 − 34 J ⋅ s , c is the speed of light with value 3.0 × 10 8 m s , and λ is the wavelength. Explanation: Substitute 6.63 × 10 − 34 J ⋅ s for h , 0.7 × 10 − 9 m for L and 9.11 × 10 − 31 kg for m in equation (2), E n = ( 6.63 × 10 − 34 J ⋅ s ) 2 8 × ( 9.11 × 10 − 31 kg ) ( 0.7 × 10 − 9 m ) 2 × ( n ) 2 = ( 6.63 × 10 − 34 J ⋅ s ) 2 35.7112 × 10 − 49 kg ⋅ m 2 × ( n ) 2 = ( 1.231 × 10 − 19 J ) × ( n ) 2 For initial energy level of electron ( n = 1 ) , substitute 1 for n , E 1 = ( 1

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Chapter 28, Problem 69GP

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The wavelength of the emitted photon.

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When the motorcyclist is at A, he increases his speed along the vertical circular path at the rate of = (0.3t) ft/s², where t is in seconds. Take p = 360 ft. (Figure 1) Part A 60° Ρ B If he starts from rest at A, determine the magnitude of his velocity when he reaches B. Express your answer to three significant figures and include the appropriate units. v = Value Submit Request Answer ་ Part B ? Units If he starts from rest at A, determine the magnitude of his acceleration when he reaches B. Express your answer to three significant figures and include the appropriate units. 11 ? a = Value Units

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