Question

I need help with part b and check part a. thanks.

15. a. The speed of a neutron (1.675x1027 kg) is known to be 45x10% = 2.1x109 m/s. What is the uncertainty of its location (in meters)? 660000 Axmare /4 12 . 2 dx 2 78/1.675.10>))(4.217 s 6.626.10-34 Uncertainty of location x 27.5.10 15 |ax 2 7.5.10 b. How many times bigger is your uncertainty than the actual size of the neutron, which is 1.6x10-15 m across? 46.875 Times bigger ans + 1.6.10 8 /10

Answer 1

SOLUTION: 411 2. Ax.mov > them ; bu plock's constant = 6.626 X10", Griven : mass of neutron (m)= 1:675x16** Kg. Speed (Av) = 4:5X10 + 2.1 x105 mds. i. speed can lie between . 2.5X109.- 2.1x10<speed <A:5X10%+ 2.1x105 2.4x105 <AV <.66X10 Taking average of two = 6:4 x105) +(6:6*10)__ AV. 4,5x105 mis ! - 2 AX.mov -> h 0 Substituting all values is equation o - Ax:():675*162+) (4'5x103) > 6'626x1024 45 Ax.(4:534. x10°) 5.273x1035 : An> 5.273x1035 1.537x1672 6.99 *1514 = x b If the actual size of the neation is 1.6x10m then the uncertainity (6.998 1014) is 6.99x1099 m 1.6*10-15m = 43.69 ~ 44 times bigger. Uncertainty than the actual size of neutron is 44 times.