Quantum Mechanics Answers

A Static electric field is distributed in a spherical shell of inner radius R1 and Outer radius R2 electric charge density is given by p= a+br ,where R is the distance from the centre and zero everywhere else.

(1). Find an expression for the electric field everywhere in terms of R.

An 800N elevator hangs by a steel cable for which the allowable stress is 1.2×10⁸ n/m².What is the minimum diameter required if the elevator accelerates upwards at 1.5m/s²?

A hydrogen balloon at the earth's surface has a volume of 5m³ on a day when the temperature is 27°c and the pressure 1 atm.what is the mass of hydrogen ?

The balloon rises and expands as the pressure drops .What would be the volume of the same number of molecules of hydrogen at an altitude of 40 km where the pressure is 0.33× 10^3 Pa and temperature is - 13°C

A wave is travelling in the negative direction has a frequency of 40 Hz ,a wavelength of 3cm and an amplitude of 0.6cm.write the wave function y(x,t) given that y=0.6cm at x =0 and t =0.

A block attached to a spring is released at t =0 with the spring extended.the period of oscillation is 0.61s.At t = 0.05s the velocity is v=-96.4cm/a.(1)what is the amplitude? (2)what is the total energy?

An 800N elevator hangs by a steel cable for which allowable stress is 1.2 ×10^8 n/m².what is the minimum diameter required if the elevator accelerates upwards at 1.5 m/s²

If the functions Y1 and Y2 are solutions of the Schrödinger equation for a particle, then show that a1Y1 + a2Y2, where a1 and a2 are arbitrary constants, is also a solution of the same equation.

The current position of the harmonic oscillator is given by the relation 

x(t)=(0,4m)cos(πt/2).Time t is expressed in seconds. Find the maximum speed of the oscillator

The speed of a small truck increases from 36km/h to 72km/h During a three kilometer trip along a horizontal road.the mass of the truck is three thousand kilograms and the friction coefficient is 0.001.

1.) determine the work done and the average power developed by the trucks engine.

2.)same question if the truck travels uphill at an angle 10⁰

. Consider a voltage amplifier having a frequency response of the low-

pass STC type with a dc gain of 60 dB and a 3-dB frequency of 1000

Hz. Find the gain in dB at f = 10 Hz