Question

the wave length of a moving particle is inversely proportional to its momentum. if the momentum of the particle is decreased by 60%,find the percentage change in wave length!
Note:
Momentum is the product of mass and velocity

someone can help me out?? :D

Answer 1

two values, a and b are inversely proportional if and only if their product at any given time is constant.
\[\large ab=k\]

Answer 2

ooooo000ooo
Thank You So Much,Terenz :D

Answer 3

I doubt you needed help here at all :D

Answer 4

haha,you're right.. this one,i can't answer it till you've told me

Answer 5

Well, I'll answer it slowly... :D
Let p be the momentum and let λ be the wavelength. Then
\[\large p\lambda=k\]for some constant k.Now the momentum of the particle is decreased by 60%, so... replace p with p-0.6p
And let μ be the new wavelength...
\[\large (p-0.6p)\mu=p(1-0.6)\mu=0.4p\mu\]
And this must still be equal to k
\[\large 0.4p\mu=k\]
k=pλ

\[\large 0.4p\mu=p\lambda\]Cancelling p and dividing both sides by 0.4
\[\large \mu=2.5\lambda\]
So the new wavelength μ is equal to 2.5λ, or λ + 150% of it. Case closed...

Answer 6

aha! clearly enough now! Tx so much :D