wave function of a particle with mass m is given by ψ(x)={ Acosαx −
π
2α
≤x≤+
π
2α
0 otherwise , where α=1.00×1010/m.
(a) Find the normalization constant.
(b) Find the probability that the particle can be found on the interval 0≤x≤0.5×10−10m.
(c) Find the particle’s average position.
(d) Find its average momentum.
(e) Find its average kinetic energy −0.5×10−10m≤x≤+0.5×10−10m.
Answer:
![\lambda=1.03\times 10^{-3}\ m](https://tex.z-dn.net/?f=%5Clambda%3D1.03%5Ctimes%2010%5E%7B-3%7D%5C%20m)
Explanation:
Given that,
The energy of the microwave oven is
.
We need to find the wavelength of these photons.
![1.2\times 10^{-3}\ eV=1.2\times 10^{-3}\times 1.6\times 10^{-19}\\\\=1.92\times 10^{-22}\ J](https://tex.z-dn.net/?f=1.2%5Ctimes%2010%5E%7B-3%7D%5C%20eV%3D1.2%5Ctimes%2010%5E%7B-3%7D%5Ctimes%201.6%5Ctimes%2010%5E%7B-19%7D%5C%5C%5C%5C%3D1.92%5Ctimes%2010%5E%7B-22%7D%5C%20J)
The energy of a wave is given by :
![E=\dfrac{hc}{\lambda}\\\\\lambda=\dfrac{hc}{E}](https://tex.z-dn.net/?f=E%3D%5Cdfrac%7Bhc%7D%7B%5Clambda%7D%5C%5C%5C%5C%5Clambda%3D%5Cdfrac%7Bhc%7D%7BE%7D)
Put all the values,
![\lambda=\dfrac{6.63\times 10^{-34}\times 3\times 10^8}{1.92\times 10^{-22}}\\\\\lambda=1.03\times 10^{-3}\ m](https://tex.z-dn.net/?f=%5Clambda%3D%5Cdfrac%7B6.63%5Ctimes%2010%5E%7B-34%7D%5Ctimes%203%5Ctimes%2010%5E8%7D%7B1.92%5Ctimes%2010%5E%7B-22%7D%7D%5C%5C%5C%5C%5Clambda%3D1.03%5Ctimes%2010%5E%7B-3%7D%5C%20m)
So, the wavelength of these photon is
.
Answer:
The acceleration of the object is
Explanation:
Given:
Initial velocity of object
= 200 feet/second
Final velocity of object
= 50 feet/second
Time of travel = 5 seconds
To calculate acceleration of the object we will find the rate of change of velocity with respect to time.
So, acceleration
is given by:
![a=\frac{v_f-v_i}{t}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7Bv_f-v_i%7D%7Bt%7D)
where
represents final velocity,
represents initial velocity and
is time of travel.
Plugging in values to evaluate acceleration.
![a=\frac{50-200}{5}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B50-200%7D%7B5%7D)
![a=\frac{-150}{5}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B-150%7D%7B5%7D)
![a=-30\ m/s^2](https://tex.z-dn.net/?f=a%3D-30%5C%20m%2Fs%5E2)
The acceleration of the object is
(Answer). The negative sign shows the object is slowing down.
Answer:
Johnny created an electromagnet out of a solenoid (a coil of wires with 20 loops), an iron core (of 1 nail), and a single 9 V battery. When Johnny does this, he creates a small magnetic field that allows him to pick up 2 paper clips. Using a CER format, explain to Johnny three things he could change that would increase the strength of his magnetic field and why each change increases the magnetic field. You may want to write three paragraphs to make this easier for the reader to understand