



Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Community
Ask the community for help and clear up your study doubts
Discover the best universities in your country according to Docsity users
Free resources
Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors
PHY1008_IMPORTANT QUESTIONS BANK.pdf
Typology: Exercises
1 / 5
This page cannot be seen from the preview
Don't miss anything!
Phy1008 Question Bank
Short Questions
wavelength?
Long Questions/Numerical
momentum p is h/p?
body radiation.
with the help of this equation.
of e⁻ is 9.109 × 10⁻³¹ kg. Calculate de-Broglie wavelength of an e⁻.
wavelength.
that can cause photoelectric emission from sodium?
neutron m = 1.67 × 10⁻²⁷ kg.
difference of 2000 V. Given mass of α-particle = 6.68 × 10⁻²⁷ kg.
volt.
that of proton.
⁻(α|x|).
(ikx)
b) ψ(x,t) = (2/πa²)
1/
e
(i(k₀x - ωt))
e
(- (x - Vgt)² / (a² + 2itħ/m))
where k₀ = Central wave number, Vg = t k₀/m = group velocity, a is width of packet.
Question Bank – Unit-II
Short Questions
Long Questions
particle or matter waves.
Or
Derive the time-dependent Schrödinger equation for a free particle in 1-D.
Or
Derive the time-independent Schrödinger wave equation.
eigenfunctions.
] =iℏ , [𝑥
] =iℏ, [𝑧
independent:
(a) A = (2,3,-1), B = (0,1,2), C = (0,0,-5)
(b) A = (3,0,0), B = (0,-2,0), C = (0,0,-1)
(a) |ψ> =
(b) |ψ> =
1
√ 2
|u1> +
1
2
|u2>
(c) |ψ> =
|ψ> =
|ϕ> =
(a) Find |ψ >
∗
, |ψ>, |ϕ>, |ϕ >
∗
(b) Are |ψ> and |ϕ> orthogonal?
(c) Is |ϕ> normalized? If not, normalize it.
|ψ> =3 |ϕ 1 > - 7 |ϕ 2 >
|ℵ> =-|ϕ 1 > + 2i|ϕ 2 >
|ϕ1> and |ϕ 2 > are orthonormal.
Calculate |𝜑 + ℵ > 𝑎𝑛𝑑 |ℵ + 𝜑 >
Find the bra <ϕ | and evaluate the scalar product <ϕ | ψ> if |ψ> =
−3i
2 + i