why optical rotation is temperature dependent???

my reg no is 6111314

and expected mark is 270

share ur ranks here

mine is 3698

the Q is frm resonance study material (complex numbers, page no 15)

given answer is ((1+e^2)cos1)/(2e).

A fair die is rolled until 1 appears on its top surface. The probability that an even no of trials is required is p. The value of 11p is? (integer type)

• A concavo-convex lens has an index of refraction 1.5 and the radii of curvature of its surfaces are 10cm and 20cm. The concave surface is upward and it is filled with an oil of refractive index 1.60. The focal length of the oil-glass combination is?

A)3/100cm.     B)1/40cm.     C)18.18cm.    D)1.818cm.

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But I am getng 2 products;Because of the resonance stabilisation of  the anion formed frm propanone

CH3=C(CH3)-O-C(CH3)=CH2 --------- -ve charge is on oxygen

 CH3-C(CH3)=CH-C(CH2)=O ----------- -ve charge is on carbon

But the 1st product is not mentioned in any books, Is it possible 2 have such a compd in aldol condensation ?

pls reply

CH3-CO-CH3 --->(aldol condensation)

pls tell me howmany products are there and which are they?

Answer given in a study material is one. But there is no solution.

What is the limit of  x^(1/x)  as x tends to zero. Pls give the detailed workout.

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Can we explain mathematically like this?

Efflex velocity (v) prop   sqrt(y)

v = k * sqrt(y)

dVol/dt = dy/dt    *   PI   *  x^2 = Area of hole * velocity(v)   ............. (.'.Continuity equation of flow)

It is given that rate of descension is independent of the level of liquid in the jar 

ie.   dy/dt = Constant =k1

So dVol/dt  = k1 * PI * x^2 =  k * Area of hole * sqrt(y)

                     So K x^2 = sqrt(y)    squaring both sides

                                 y   =  K * x^4

Rate me if it is correct