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<title>JS Bin</title> | |
</head> | |
<body> | |
<script id="jsbin-javascript"> |
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# @njit | |
def fill_vertical_box2(img, kr, kc): | |
is0, is1, ks0, ks1 = *img.shape, kr, kc | |
is0, is1, ks0, ks1 # (5, 4, 3, 1) | |
rs0, rs1 = is0 - ks0 + 1, is1 - ks1 + 1 | |
rs0, rs1 # (3, 4) | |
for i in range(rs0): | |
for j in range(rs1): | |
le = (i+ks0) | |
for kle in range(le-1, i-1, -1): |
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Kinetic Energy Change Calculation | |
_________________________________ | |
Human: A block of mass 100 gm is placed on a smooth surface, moves with acceleration of a = 2x, then the change in kinetic energy can be given as (x^n/10), find the value of n. | |
ChatGPT: To solve this problem, we need to calculate the change in kinetic energy of the block as it accelerates with acceleration given by the expression "a = 2x." We'll then compare the result to the expression "(x^n/10)" to find the value of "n."The kinetic energy of an object is given by the equation KE = (1/2)mv^2, where "m" is the mass of the object and "v" is its velocity.The change in kinetic energy (ΔKE) is the difference between the final kinetic energy (KE_f) and the initial kinetic energy (KE_i). Therefore, ΔKE = KE_f - KE_i.Let's assume that the initial velocity of the block is "u" and the final velocity is "v." The acceleration "a" is given by the expression "a = 2x," where "x" is the displacement of the block. We can use the kinematic equation v^2 = u^ |
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Li++ Orbit Radius | |
_________________ | |
Human: Find the radius of the orbit corresponding to the 4th excited state in Li++. (a0 is the radius of first orbit in H-atom) | |
ChatGPT: The Li++ ion is lithium with two electrons removed, leaving it with a single electron, similar to a hydrogen atom. The energy levels and radii of the orbits in the Li++ ion can be calculated using similar formulas as those used for the hydrogen atom, with adjustments for the different nuclear charge.The formula for the radius of the nth orbit in a hydrogen-like atom (an atom with only one electron) is given by:r_n = n^2 * a_0 / Zwhere: | |
r_n = radius of the nth orbit | |
n = principal quantum number (positive integer) | |
a_0 = Bohr radius (radius of the first orbit in the hydrogen atom, approximately 0.529 Å) | |
Z = atomic number (number of protons in the nucleus)For Li++, the atomic number Z is 3, since lithium has 3 protons in its nucleus.The 4th excited state corresponds to the 5th energy level, because the ground state is the 1st energy level (n |
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''' | |
A silly math question posed in our discord: There are two hospitals in a city, | |
a small and a bigger one. In which of them is the likelihood higher of | |
more boys than girls being born in one day? | |
(Provided that girls and boys are on average born equally frequently). | |
src: https://twitter.com/wagieeacc/status/1712958038871552020 | |
''' | |
import random | |
SIMULATIONS = 1000 |