Question

PLEASE ANSWER CORRECTLY AND I WILL RATE YOU HIGH

1) Light of wavelength 500 nm illuminates a round 0.50-mm-diameter hole. A screen is placed 6.0 m past the slit. What is the width of the central bright circle on the screen?

	a. 7.3 mm b. 260 μm
	c. 15 mm
	d. 3700 μm

2) A spherical oil droplet with nine excess electrons is held stationary in an electric field between two large horizontal plates that are 2.25 cm apart. The field is produced by maintaining a potential difference of 0.3375 kV across the plates, and the density of the oil is 824 kg/m³. What is the radius of the oil drop? (e = 1.60 × 10^-19 C)

Express your answer with the appropriate units.

R = ________

Please show your work!

Answer 1

Solution 1) Diffraction of circular path sin θ 1.223 1.22x500x10-m 0.50x10-31m -1.22x103 n 22x103 - 0.0699° Distance 6x tan (0.0699) 7.3x10m - 7.3mm Width of the central bright fringe -2 x 7.3mm -14.6 -15mm Therefore, width of central bright fringe is 15mm

2) Electric field between the plates dx 337.5V 2.25 x10-m -15000V/m Thus, electric field between the platesis 15000 V/m Force on the 9 electron - neE -9x15000 x1.6x10s -2.6 x104N Weight ofthe oil drop W mg 2.16x10-*-864kg/m*x9.8m/s*xV t 2.16x10- N 8075.2 πγ. 2.67 x10-is 2.67x10-5m3x3 4 x3.14 6.388 x10-15 -(6.388x1015 (6388 10-2 - 8.612x10'm 1/3 Therefore.radius ofthe oil drop is 8.612 x10-m