Answer:
v = 7.67 m/s
Explanation:
Given data:
horizontal distance 11.98 m
Acceleration due to gravity 9.8 m/s^2
Assuming initial velocity is zero
we know that

solving for t
we have

substituing all value for time t

t = 1.56 s
we know that speed is given as


v = 7.67 m/s
Density is given as

now we have to convert this density into 
now we have





The answer is 1.99 × 10⁻¹⁰ m.
To calculate this we will use De Broglie wavelength formula:
<span>λ = h/(m*v)
</span><span>λ - the wavelength
</span>h - Plank's constant: h = 6.626 × 10⁻³⁴ Js
v - speed
m - mass
It is given:
<span>λ = ?
</span>m = 9.11 × 10⁻²⁸<span> g
v = </span>3.66 × 10⁶<span> m/s
After replacing in the formula:
</span>λ = h/(m*v) = 6.626 × 10⁻³⁴ /(9.11 × 10⁻²⁸ * 3.66 × 10⁶) = 1.99 × 10⁻¹⁰ m
Answer:
P = 2 pi (L / g)^1/2
P2 / P1 = (8 / 2)^1/2 = 2
The period would be twice as long or 5.6 sec.