A free electron is moving along the-x-direction with momentum magnitude 2.40×10-24 [kg. and energy 3.16×10-18 [J]. What is the time-dependent wave function of the given electron? . (x, t) = A exp(i[(3.62 × 10¹⁰ [rad · m¯¹])x − (4.77 × 10¹6 [rad · s¯ · s¯¹])t]) V(x, t) = A exp(-i[(3.62 × 10¹⁰ [rad · m¯¹])x + (4.77 × 10¹6 [rad · s¯ -¹])t]) V(x, t) = A exp(i[(2.27 × 10¹⁰ [rad · m¯¹])x − (2.99 × 10¹6 [rad -s¯¹])t]) V(x, t) = A exp(-i[(2.27 × 10¹⁰ [rad · m¯¹])x+ (2.99 × 10¹6 [rad · s¯¹])t])

Light of frequency 12x1015 Hz shines on to clean caesium metal. What is the maximum kinetic energy of the electrons emitted ? The work function of caesium is 1.5 x 10-19 J and the Planck constant h = 6.63 x 10-34 J s. Round off the answer to 2 decimal places and write answers as power of 10.

What is the minimum uncertainty in position, in nm, of an electron whose velocity is known to be between 2.96x105 m/s and 3.08×105 m/s ? Express your answer using two significant figures. Vη ΑΣφ x" х.10п 9.7 nm Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining

An electron has de Broglie wavelength 2.78×10-10 m . Part A Determine the magnitude of the electron's momentum pe. Express your answer in kilogram meters per second to three significant figures. ▸ View Available Hint(s) VG ΑΣΦ 24 Pe 2.29 10 . Submit Previous Answers ? × Incorrect; Try Again; One attempt remaining kg. m/s