Physics, Chemistry, Mathematics Forums

find out whether the following function is even or odd

f(x)=constant

answer is even

The thickness of a plate is measured to be 2.17 mm,2.17 mm and 2.18 mm at three different places.Find the avg thickness of the plate from this data.

"ITs said that, in one electron system, the s and p orbitals lie in the same energy level, but in multi electron system, in addition to the nuclear attraction between nucleus and the electron, there is a also a force repulsion between the electrons present. So that shields the nuclear attraction between nucleus and the electron. Result is that, the s and p orbitals don't lie in the same energy level."

Can anyone explain the full statement properly and make me understand properly??

Two runners start simultaneously from the same point on a
circular 200-m track and run in same directions. One runs at a
constant speed of 6.20 m/s, and the other runs at a constant speed
of 5.50 m/s.

when will the fast one overtake the slower one?

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this may be an easy problem, but I am getting confused... as far as I have analyzed.. the distance traveled for overtaking is same and the time taken for overtaking is different....

If this is the correct analysis.. then I am not able to proceed further... can yiu help me to proceed??

Thanxx..!!!

The question is :

The sum of the distance of P(x,y) from (4,0) and (-4,0) is 10. Find the equation of locus.

Alright, I actually understand the logic of the problem, but the problem is that, I am stuck in an calculation. The calculation might be easy, but at this point of time I am not able to go about it. So plz help me to calculate.

Using the condition, The relation I get is

\(\sqrt{(x~-~4)^2+y^2}~+~\sqrt{(x~+~4)^2+y^2}~=~10\)

But using the above relation how do I proceed to the final answer?? Please give me the steps and if there are any other mistake, then plz clarify it.

The final answer given is :

\(9x^2~+~25y^2~=~225\)

Thnxx..!!

Paper 1 maths question 10.f(x)=f(1-x),f(x) --- a nonconstant differentiable fn. defined on R and f'(1/4)=0.If we differentiate the given condition then we get f'(x)=-f'(1-x) and now we put x=1/4 then ,f'(1/4)=-f'(3/4)===>besides 1/4 we also have 3/4 as our maxima or minima.Next ,we put -x in place of x in the given condition and differentiate it again.f(-x)=f(1+x)===>-f'(-x)=f'(1+x) and put x=-1/2 and that gives -f'(1/2)=f'(1/2)===>2f'(1/2)=0 or f'(1/2)=0 which is the second option.So,now we have 1/4,1/2 and 3/4 as points of maxima or minima.Thus,f''(x) at these points should vanish.So,between [0,1] f''(x) should vanish at least thrice .However, option A is included in correct answers.Somebody please help.

Hello
Happy New Year
 Can someone help me to analyse this problem
The maximum number of possible interference maxima on the screen which is big enough in a YDS setup for a slit separation of d=3# (where # is the wavelength of the incident radiation ) is
    a) 5         b) 2       c)3        d) 0

1.Could someone please explain to me about time constant like in RC circuits.

Like if we have some resistance in series and parallel to a capacitor what is time constant. Will R be the total resistance or will it be resistance in series with the capacitor???

2.Also could some explain to me about excess pressure?

There is a question like there are 2 bubbles on either side of a straw and having radius r1,r2 and tension t1,t2 respectively. (r1>r2). What will be the new radius of the bigger bubble???

3.Do dipoles obey newton's 3rd law if not why??

4.What are the condition's for amperes circuital law??

5.Assertion : In elastic collission between a partive and a fixed surface the components of the particle velocities normal to the surface before and after collisions are equal in magnitude.

 Reason:In absence of any external force a systems linear momentum is conserved.

I feel both the statements are true. What do you feel??

6.A spherical conducting shell with a small hole is placed in an external electric field as shown. The field inside the hole is E/2.  Outside the sphere there exists an electric field E.

Is the statement true or false??

Also could you explain how the hole effects the electric field inside inside the conductor????

7.A liquid filled upto height H of beaker of density rho. Find pressure exerted on the walls of the beaker???Please explain???

Can anyone try to give a proof for the formula of finding centre of mass which is given mostly in any book as a standard formala as

\(X_{CM}=\frac {1}{M}\Sigma(m_ix_i)\)                                             

Try it. If you fail, contact me.I have done it.

(Edited by INDIANET @IIT-JEE - Monday, 10 April 2006, 03:34 AM)

A conducting ring of mass 2 kg and radius 0.5 m is placed on a smooth horizontal plane as shown.The ring carries a current of 4A.A horizontal magnetic field B=10T is switched on at time t=0.The initial angular acceleration of the ring is:

a)40Pie rad/s²  b)20Pie rad/s²   c)5Pie rad/s²      d)15Pie rad/s²

If I use tau=MB & M=nIA I get 40Pie rad/s² (option a).

But if I use F=I(lxB) then I get Net tau=Ir (2r x B)(total torque on left part of ring)Ir (2r x B)(total torque on right part of ring)=2Ir(2r x B)=40 here

tau=I (alpha) =40

==>mr²(alpha)=40

==>(alpha)=80

Which method is wrong and why?