Flamboyanza

We all know that for a rigid body the number of degrees of freedom in our usual 3D system is 6. Three degrees of freedom for translation and three for rotation.

If we imagine a four dimensional system then hypothetically how many degrees of freedom will there be for a RIGID body?

Please try to describe your answer.

Given that for a one dimensional system, H(hamiltonian)=(p^2/2)-{1/(2q^2)}.

How to show that there is a constant of motion D=pq/2 - Ht ?

Kinetic energy is given by the formula 3/2KT (I'm not sure if this info is of any help or not).

a. 1.5 A

b. 2 A

c. 0 A

d. 273 A

1kg of water at 273K is mixed with 1kg of water at 373K and they come to equilibrium at 323K. What is the change in entropy of the system? And how? (heat capacity of water = 4.186 J/kg-K)

a) dS= 704 J/K

b) dS= 102 J/K

c) dS= 602 J/K

d) dS= 1306 J/K

I know that according to theory of relativity the speed of light is always c.

But inside a slab it is c/n according to snell's law, right? Now let's say that this glass slab is moving.

But you are standing outside and what is the speed of light in your frame of reference?

It's still 'c'? if yes, then how? Because speed of light in glass slab is c/n, not 'c'.

A beam of light moves in a slab of glass of refractive index n in the positive x direction. The slab itself also moving in the positive x direction with a speed v in the laboratory frame. What is the speed of the beam of light as measured in the laboratory frame?

a) c

b) (c^2.n+cv)/(c+nv)

c) c(1-1/n)

d) (c^2+vcn)/(cn+v)

Consider a spherical cavity in an infinite, homogeneous and isotropic dielectric material of permittivity epsilon. When placed in an external electric field E, the electric field inside the cavity is

a) 3.epsilon.E/(2.epsilon+epsilon0)

b) (2.epsilon+epsilon0)E/3.epsilon

c) -epsilon.E

d) E/epsilon

Epsilon0 means epsilon in free space

Please derive the answer for me.

a) The motion is simple harmonic but with frequency which is lower compared to when it is in air.

b) The motion is always damped harmonic type.

c) The motion is always overdamped.

d) The motion is either of the damped harmonic type, or it is overdamped, depending on the liquid.

Only one option is correct

Three identical rings of radius a are placed on the xy plane so that each ring touches the other two tangentially. Each ring, which may be considered to be infinitesimally thin, has mass M. The centres of the three rings are equidistant from z axis- this common distance being 2a/root3. What is the moment of inertia of this system about z axis?

I have two kind of budgets- 10K INR and 15K INR.

Under 10K, I have selected two phones NOKIA 500 and HTC EXPLORER.

Under 15K, I have selected two phones SE LIVE WITH WALKMAN and SAMSUNG OMNIA W.

Tell me which phones should I buy under 10K and under 15K with reasons.

p.s. I cannot increase my budget to even a rupee above that.

A small magnetic dipole is kept at the origin in the x-y plane. One wire L1 is located at z= -a in the x-z plane with a current I flowing in the positive x direction. Another wire L2 is at z= +a in y-z plane with the same current I as in L1, flowing in the positive y direction. The angle ϕ made by the magnetic dipole with respect to the positive x-axis is .......... .

I am confused between 225 or 45 degree. I need to know which one of these two answers is correct and why.

The videos I shoot in my camera turn out to be too large like 100 mb/minute. How come an average 4 min YouTube video is within 20 mb along with high quality as well? Is it possible to turn my videos to such files? If yes, how?

Have you ever washed your clothes with detergent powder? Why do they feel warm to your skin when you touch them even when they are dry? I googled but surprisingly found no relevant answer.

It's a very old holi song (black & white probably). a girl is dancing. she has two bodies, the front side is that of a woman and back side is of a man (of course it's a fake one).

i can remember only the last line of the 1st stanza.."mujhe samjho na tum bholi bhaali re"

i'll appreciate a youtube link as well..

I am a second year student in an autonomous college with physics as my major subject. I'd like to pursue MSc in physics in IITs and would like to know if there's any limit to the number of attempts in IIT JAM (like you can appear IIT JEE only twice).

I am a B Sc 1st year student in Utkal University, Orissa with physics as my hons subject. I want to know if it is worth losing one year and take fresh admission in DU this year in physics considering standard of teaching in DU is better than other universities. PLEASE HELP !!!

It describes about layers of consciousness like Anna-maya kosha, Prana-maya kosha, Mana-maya kosha, Vigyan-maya kosha, Anand-maya kosha