Thanks a lot. Can you please guide me to a rigorous proof of the concept of superposition? The result doesn't seem readily apparent to me. Also that is the significance of the system being linear?
(d2x1)/dt2=-ω12x1
(d2x2)/dt2=-ω22x2
Isn't the property of addition of the SHM's based on the addition of forces? If ω is same we can directly add the displacements.(taking -ω2 common from the two equations) But how will i prove that the addition of SHM's in case of different ωs will result in...
Homework Statement
A particle is subjected to two simple harmonic motions given by
x1=2[sin(100πt)]
x2=2[sin(120πt+{π/3})] where x is in centimetre and time is in seconds.
Find the displacement of the particle at t=1/80
Homework Equations
The Attempt at a Solution
The...
The carbon you referred to has 2 double bonds,1 on either side. To make 2 double bonds carbon requires 2 p orbitals...
This is similar to the case of the triple bond..
Homework Statement
Find the nth term and sum to n terms of the series 12,23,60,169,494..
Homework Equations
The Attempt at a Solution
well each term is the triple of the previous term minus some constant.
23=10*3-7
60=23*3-9
..
..
This way i am able to write the nth term as...
Homework Statement
A person driving a car suddenly sees a wall .At that instant velocity of the car is v. Coefficient of static and kinetic friction is μ. The mass of the car is M. To avoid the driver should ....(acc. due to gravity=g)
a)apply breaks
b)turn (the car shouldn't slip while...
I wasnt having any actual problem in solving questions it was just that i wanted to check whether or not i could derive relations by using different x-y directions, but the new general equations turned out to be useless.
from here i have got the relations
1)N=M.g.cosθ+M.a.sinθ
2) a.cosθ=g.sinθ
Edit:i have forgotten to consider the normal force from underneath , i'm going to re-write the equations
Edit: nevermind these equations are totally useless
Homework Statement
see attached image
Homework Equations
F=ma
The Attempt at a Solution
I have the relations
1)M.asinθ=N
2)N.sinθ=Ma
Which one is correct and why?
3)if (1) is incorrect is the correct relation --M.asinθ+M.gcosθ=N?
Homework Statement
A block A of mass m is placed over a wedge B of same mass m. Assuming all surface to be smooth. The displacement of block A is 1 sec if the system is released from rest is :
Homework Equations
The Attempt at a Solution
i have made fbds and have the relations-...
We are taught that a reason for the stability of half filled or fully filled orbitals is due to the high exchange energy.
Now i get why the exchange energy would be higher compared to other configurations but i don't understand why electrons present in degenerate orbitals would want to exchange...
well since energy increases as distance from nucleus increases and the energy gap b/w consecutive orbits decreases, it seems to me that if what i am saying is true, then distance b/w n=1 and n=2 should be greater than n=2 to n=∞, which is wrong.
Edit: thanks a lot i got my mistake
Edit 2: this...
this is exactly what i am getting, but thinking logically shouldn't the transition from n=∞ to n=2 produce a greater energy change?(than n=2 to n=1)
Also wouldn't this imply that to ionize an atom from the second shell the energy required is atleast less than half than that to ionize it from the...
Am I right in saying that in a Hydrogen atom when an electron jumps from the second orbit to the first one the energy change is more than any other possible jump (when the jump is not to the first orbit). The calculations seem to support me but it doesn't feel right.
i was wondering what the equation of the line/curve on a velocity vs displacement graph would be which would indicate constant acceleration.
I am totally stumped.
EDIT:please feel free to shift the thread to any other place if need be, but since it wasn't coursework this seemed to be the natural...
why doesn't the uncertainty principle lead to small discrepancies in the spectrum of the same element in different situations?
I think that since there is a whole area for the electron to jump from and to and therefore a small range of values of possible jumps for a single shell, so there...
thanks for your reply.
i have solved the question.
1 doubt though which extra variable is generated? on differentiation
v becomes a
s becomes v
constant is eliminated