Physics Answers

The Kinetic Energy of a 0.5-kg monkey fist moving at 5m/s is

A 50 x 100 mm timber is used as a column with fixed ends. Determine the minimum length required at which Euler’s formula can be used if E= 10 GPa and critical stress up to proportional limit is 30 MPa. What safe load can be carried with a FS of 2 if the length is 2.5 m

A wire 4.00 m long and 6.00 mm in diameter has a resistance of 15.0 mΩ.

A potential difference of 23.0 V is applied between the ends.

2.1. What is the current in the wire?

2.2. What is the magnitude of the current density?

2.3. Calculate the resistivity of the wire material.

2.4. Using the resistivity constants table, identify the 

. Derive Schrodinger wave equation from Cartesian coordinates into Spherical polar coordinates. 1 𝑟 2 𝜕 𝜕𝑟 (𝑟 2 𝜕𝜓 𝜕𝑟 ) + 1 𝑟 2𝑠𝑖𝑛𝜃 𝜕 𝜕𝜃 (𝑠𝑖𝑛𝜃 𝜕𝜓 𝜕𝜃) + 1 𝑟 2𝑠𝑖𝑛2𝜃 𝜕 2𝜓 𝜕𝜙2 + 2𝑚 ℏ 2 (𝐸 − 𝑈)𝜓 = 0

In Stern-Gerlach experiment, calculate the force being exerted on the silver atoms due to the inhomogeneous magnetic field and hence calculate the maximum displacement occurs between the traces. 

Consider the wave function 𝜓(𝑥) = 𝐴𝑐𝑜𝑠 𝑘𝑥 where A, k are constants. Is this the eigenstate of the operators 𝐻̂, 𝑝̂, 𝑝̂ 2 of a particle moving in a potential-free region. If so find the eigenvalues.

Solve Second Order (linear and homogenous) Differential Equation 𝑑 2𝑦 𝑑𝑥2 + 𝑝(𝑥) 𝑑𝑦 𝑑𝑥 + 𝑄(𝑥)𝑦 = 0 by writing it in terms of quadratic equation and solving for its roots, mainly the complex roots. 

A body vibrating with a simple harmonic motion has a frequency of 4hz and Amplitude of 0.15m. Calculate the maximum value of acceleration and velocity.

b) the acceleration and velocity at a point 0.09 from the equilibrium position of motion

Consider a cavity consisting of two plane mirrors separated by a distance 60 cm in air. 

Calculate the mode number corresponding to the wavelength λ=600 nm. Also 

calculate the frequency spacing between the two longitudinal modes.

• let a wave function Ψ(x,t)=N[(1+i)/2 φ1(x)e^(−iE1t/h)+1/2^1/2 φ2(x)e^(−iE2t/h) Is this wave function is solution of shodinger equation?