Explanation:
It is given that,
The distance between the first spot and the central minimum is, s = 0.007 cm
Length, l = 12 m
Wavelength, 
We need to find the width of the hair. Using the condition of diffraction pattern as :
, d is the width of the hair


d = 0.00102
or

So, the width of the hair is
. Hence, this is the required solution.
(a) The y-component or vertical velocity is calculated using:
Vy = Vsin(∅)
(b) The x-component or horizontal velocity is calculated using:
Vx = Vcos(∅)
Answer:
Speed of 1.83 m/s and 6.83 m/s
Explanation:
From the principle of conservation of momentum
where m is the mass,
is the initial speed before impact,
and
are velocity of the impacting object after collision and velocity after impact of the originally constant object
Therefore
After collision, kinetic energy doubles hence
Substituting 5 m/s for
then
Also, it’s known that
hence
Solving the equation using quadratic formula where a=2, b=-10 and c=-25 then
Substituting,
Therefore, the blocks move at a speed of 1.83 m/s and 6.83 m/s