Recent content by Punch

thank you.

Would the following explanations suffice to explain why the photoelectric effect shows the particulate nature of light? 1) There is instantaneous emission of photoelectrons when the energy of the photon is greater than the work function of the material. 2) There is no emission of...

Hello! Thank you for your reply. Sorry, you may have misunderstood my question. I understand that the amount of energy gained by the decay products depends on how massive the parent nucleus is. However, my question is: Assuming that we a total of 10MeV to be gained by decay products...

What is the proportion of energy gained by the decay products when a nuclei undergoes alpha decay?

Sorry! The missing part is: For each blue ball obtained, the player earns $0.50

A building has 2 independent automatc telephone exchanges A and B. The number X of wrong connections for A in anyone day is a poisson variable with parameter 0.5 and the number Y of wrong connections for B in any one day is a poisson variable with parameter 1. Calculate in any particular...

A bag contains 4 red, 5 blue and 6 green balls. The balls are indistinguishable except for their colour. A trial consists of drawing a ball at random from the bag, noting its colour and replacing it in the bag. A game is plated by performing 10 trials in all. At the start of the tournament...

Yes, how do I then find the complex number z_1 in the following part? I tried using the latex but they didnt seem to work

Yup, I think you haven't read the next part I wrote. I completed drawing the locus and am facing difficulties solving the part which asks for a complex number representing the intersection of these 2 loci. "I have drawn the 2 locus already. But I do not know how to find the complex number...

Sketch on an Argand diagram the set of points satisfying both |z-4i|<=\sqrt{5} and \frac{\pi}{4}<=arg(z+4)<=\frac{\pi}{2}. I have already sketched the 2 loci. The problem lies in the following part. Hence find the least value of |z-2\sqrt{2}-4i|. Find, in exact form, the complex number z_1...

w is a fixed complex number and \( 0<arg(w)<\frac{\pi}{2} \). Mark A and B, the points representing w and iw, on the Argand dagram. P represents the variable complex number z. Sketch on the same diagram, the locus of P in each of the following cases: (i) \( |z-w|=|z-iw| \) (ii)...

With regards to the real part, \frac{x^2+x+y^2+2y}{x^2+y^2-2y+4}=0 But I do not see how i can use this

I followed as you said but couldn't find how to extract the real part out...

A complex number is represented by the point P in an Argand diagram. If the real part of the complex number w=\frac{z+1}{z-2i} (z not 2i) is zero, show that the locus of P is a circle and find the radius and centre of the circle. I have a problem manipulating w to find the real part of w

Find the number of ways of selecting 3 men and 3 women from 5 married couples such that there are exactly 2 married couples. I need the reasoning