Question

1)

(a) If the position of an electron in a membrane is measured to an accuracy of 4.79 µm, what is the electron's minimum uncertainty in velocity (in m/s)? ___m/s

(b) If the electron has this velocity, what is its kinetic energy in eV? ______ eV

2)

Sunlight above the Earth's atmosphere has an intensity of 1.40 kW/m². If this is reflected straight back from a mirror that has only a small recoil, the light's momentum is exactly reversed, giving the mirror twice the incident momentum.

(a) Calculate the force per square meter of mirror (in N/m²).

(b) Very low mass mirrors can be constructed in the near weightlessness of space, and attached to a spaceship to sail it. Once done, the average mass per square meter of the spaceship is 0.116 kg. Find the acceleration (in m/s²) of the spaceship if all other forces are balanced. ____m/s²

(c) How fast (in m/s) is it moving 24 hours later? (Assume the spaceship started from rest.)

Answer 1

given data- 4.79 dem = 4·79 8156 m According to Heisenberg uncertainty principle- (AX)x(BP) > h 47 → (OX) x (m. sv) > 4K Av > h 4am.cox) where Bu= uncertainty in velocity minimum h HAM (ON) 6.626 815 34 44x 9.19 x1031 x 4.798156 OV 12.078 mis Kinetic energy £mv2 2 K- 1 x(9.11 X1031) Ⓡ (12.07892 K = 664.524 x 105315 To comvest Joule into eleeton volt (en) eve divide it by 1.602x17 19 K = 6641524 X1631 1-602 xlolg K : 414.809 x1012 ev