Recent content by azatkgz

Please,can someone explain me spatial coherence?

Morse index for (0,0,-1) det\left|\begin{array}{l[cr]}-\lambda &12&0\\12&2-\lambda &0\\0&0&2-\lambda\end{array}}\right|=0 (2-\lambda )(-\lambda(2-\lambda)-144)=0 \lambda_1=2,\lambda_2=1-\sqrt{145},\lambda_3=1+\sqrt{145} for (24,-144,-1)...

Please,check my solution. Find critical points of the function f(x,y,z)=x^3+y^2+z^2+12xy+2z and determine their types (degenerate or non-degenerate, Morse index for non- degenerate). Attempt \frac{df}{dx}=3x^2+12y=0 \frac{df}{dy}=2y+12x=0 \frac{df}{dz}=2z+2=0 Critical points...

Can it be total internal reflection.In this case light cannot go out from the liquid.

No,it's original question.There's no imaginary constant. So my solution is true.Thanks for checking.

Then if we change the medium velocity will change,right? Velocity of sound wave in the should be faster. From V=fw If velocity increases then wavelength also.Frequancy remains constant. Is it Right?

Rough (not smooth) surfaces often appear to be darker in sunlight when they are covered by water.How can we explain this physical phenomen?

Homework Statement When you sing, the vocal folds in your throat act as a resonating cavity (one open end, one closed end) which allows only certain frequencies. Suppose you try to sing a pure tone which is detected by a microphone and measured to have a frequency 500.0 Hz. This is the...

Homework Statement What's the speed and direction of the following wave(A,B and C are constants) y(x,t)=Ae^{Bx^2+BC^2t^2-2BCxt} The Attempt at a Solution y(x,t)=Ae^{B(x-Ct)^2} from (x-Ct) v=C in the +x direction

Thanks a lot!

It's easy question,but I don't know whether I solved it correctly. Homework Statement Calculate the length of the curve given by r=a\sin^3 \frac{\theta}{3} in polar coordinates. Here, a > 0 is some number. Homework Equations l=\int \sqrt{r^2(\theta)+(\frac{dr}{d\theta})^2}d\theta...

Can you post?

\ddot u=\frac{d^2u}{d\theta^2} :smile:

Moment of Inertia of the center of mass is I_0=\frac{mL^2}{12} If it is pivoted distance x from the centre I=I_0+mx^2 T=2\pi\sqrt{\frac{I}{mgx}}=2\pi\sqrt{\frac{I_0+mx^2}{mgx}} for T minimum we have \frac{dT}{dx}=0

Is the velocity constant? Do you mean by rate of change \frac{dB(s)}{dt}? And I think it would be better if you post whole question.