Explanation:
Whenever the light passes through hole or slit then it tends to bend that is actually a diffraction. It will then made the interference pattern of light and dark bands that due to constructive and destructive interference.
So by using the equation of diffraction,
dsinA = nL
SinA is a geometric component it can be written as,
∵ x is the distance from screen.
∵ y is the half of the width of central maximum.
now by putting the values in mm,
d = 2.15× mm
Answer:
<em>a. 10 years</em>
<em>b. 6 years</em>
<em>c. 12 years behind</em>
<em></em>
Explanation:
speed of light c = 3x m/s
distance of sirius from earth = 8 lightyears = 8 x c x 60 x 60 x 24 x 365 = 252288000c meters
speed of spaceship = 0.8c
time taken to reach sirius = distance covered divided by speed
t = d/s = 252288000c/0.8c = 315360000 sec
<em>1 year = 60 x 60 x 24 x 365 sec = 31536000 sec</em>
315360000 sec = 315360000/31536000 = <em>10 yrs</em>
<em>the time as observed by Goslo will be shorter than the real time as measured within the ship due to relativistic effects. using the relativistic relation for time dilation we have</em>
t' = t
since v = 0.8c
v/c = 0.8
where t' is the relativistic time as observed by Goslo,
t is the time within the ship
t' = 10 x = <em>6 yrs</em>
<em></em>
If speedo turns around immediately after reaching sirius, his total distance will be 252288000c x 2 = 50457600c meter
time taken = 50457600c/0.8 = 630720000 sec = 20 yrs
time within the ship will be calculated from time dilation
t' = t
t' = 20 x = 378432000 sec = <em>12 years behind</em>