Explanation Given data: Wavelength is 630 nm. Power is 5 mW. Formula used: Consider the energy equation. E = h c λ (1) Here, h is the planks constant, which has a standard value as 6.63 × 10 − 34 J ⋅ s , c is the speed of light , which has a standard value as 3 × 10 8 m s , and λ is the wavelength. Current equation I = Q t (2) Here, Q is the charge, and t is the time. Consider the power equation. p = N × E t (3) Here, N is the number of charges, and t is the time period. Explanation: We know that, Q = N × e Here, N is the number of charges, and e is the charge of electron, with a standard value as 1.6 × 10 − 19 C . Substitute N × e for Q in equation (2), I = N × e t (4) Substitute E from equation (1) in equation (3), p = N × ( h c λ ) t p = N × h c t λ N t = p λ h c Substitute 6.63 × 10 − 34 J ⋅ s for h , 3 × 10 8 m s for c , 630 nm for λ , 5 mW for power, N t = 5 mW × 630 nm ( 6

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Chapter 28, Problem 65GP

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The current required to produce 5 mW of light.

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Chapter 28, Problem 64GP

Chapter 28, Problem 66GP

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4 Problem 4) A particle is being pushed up a smooth slot by a rod. At the instant when 0 = rad, the angular speed of the arm is ė = 1 rad/sec, and the angular acceleration is = 2 rad/sec². What is the net force acting on the 1 kg particle at this instant? Express your answer as a vector in cylindrical coordinates. Hint: You can express the radial coordinate as a function of the angle by observing a right triangle. (20 pts) Ꮎ 2 m Figure 3: Particle pushed by rod along vertical path.

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