Recent content by cr7einstein

I wanted to, but I do not know how to attach one!

Basically, consider any 'ideal' medium moving with a certain speed. Would the rebound angle still be the same as when there was no motion of the medium? The specific example we had in mind was the 'ether' ( the one which SR got rid of). So I tried to draw an analogy there.

Hi all! I was having a conversation with a (rather young) friend about the following imaginary situation- suppose you are in a helicopter, at rest relative to the ground. So you are basically seeing a 'top' view. Say you have a a wall fixed to the ground, and it is kept in the middle of a moving...

Hi everyone; A very stupid confusion here. When we want to talk about the most probable radius to find the electron in $1s$ orbital, why do we talk about the radial density and not the probability itself? For instance, the probability of finding the the electron at a radial distance $r$...

Yes @haruspex I got the answer ...the relation between coeffecients and roots...

Homework Statement Consider 3 nonzero complex numbers $$z_1,z_2,z_3$$ each satisfying $$z^2=i \bar{z}$$. We are supposed to find $$z_1+z_2+z_3, z_1z_2z_3, z_1z_2+z_2z_3+z_3z_1$$. The answers- 0, purely imaginary , purely real respectively. Homework EquationsThe Attempt at a Solution I have...

Homework Statement Hi all, This problem has been troubling me for a while now; even though I have tried my best ( and filled up a rough notebook in the process). Consider $$I_1=\int_{0}^{1} \frac{tan^{-1}x}{x} dx$$$, and $$I_2=\int_{0}^{\pi/2} \frac{x}{sinx}dx$$. We are supposed to find...

Homework Statement My teacher told me that the force will increase ##k^2## times, where ##k## is the dielectric constant, but I don't see how. Homework EquationsThe Attempt at a Solution To start with, with no dielectric, the force between the plates is given by ##\frac{q^2}{2A\epsilon_{0}}##...

Acknowledged...Thanks everyone!

@Delta² I did the exact same thing and got a different answer ( as I mentioned in the question). I believe the relative velocity is right- ## mgl(1-cos\frac{\pi}{3})=1/2mv^2## (relative to cart) which gives ##v=\sqrt{gl}##. So, at that instant, if the cart moves at ##v##, I get bob's absolute...

@ehild Okay I got it...I did it by analysing their rotational motion about their COM...it gives the right answer. Can you point out though the problem with my approach?

I did it this way- If I see the bob wrt the cart, The speed at its bottom most point is ##\sqrt{gl}## by straightforward energy conservation. If I say that the cart itself moves at a speed ##v## at that instant, the absolute velocity of bob at that instant is ##v-\sqrt{gl}## . Am I right?

@ehild I arrived at that argument considering that when the bob is set into motion, the cart must move in the opposite direction to conserve the momentum. The bob's speed continuously increases till it is at it's lowest point relative to cart, so the cart's speed must also increase in the...

Homework Statement [Edit: Copy of figure added by moderator] [1]: http://i.stack.imgur.com/VGhTc.png (sorry for the shabby figure!) The problem-a bob of mass ##m## is hanging from a cart of mass ##M##. The system is released from rest from the position shown. Find the maximum speed of...