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kislay (1108)

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 Sum-to-Product Formulae

 

displaymath168


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kislay (1108)

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 Power-Reducing/Half Angle Formulae

 

displaymath167


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kislay (1108)

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 Double Angle Formulae

 

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sachinguptaiit (772)

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\text{If any function satisfies}\;f(x).f\left(\frac{1}{x}\right)=f(x)+f\left(\frac{1}{x}\right)\\\\\text{then}\;f(x)=1\pm x^n\\\\\text{where n is acheived from given conditions}


"Before you start some work, always ask yourself three questions - Why am I doing it, What the results might be and Will I be successful. Only when you think deeply and find satisfactory answers to these questions, go ahead."

Chanakya quotes (Indian politician, strategist and writer, 350 BC-275 BC)
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kislay (1108)

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 Lithium forms monoxide, sodium forms

peroxide, the other metals form

superoxides. The superoxide   ion is

stable only in the presence of large cations

such as K, Rb, Cs.


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kislay (1108)

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 The oxides and the peroxides are colourless

when pure, but the superoxides are yellow or

orange in colour


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\frac{du^n}{dx}=nu^{n-1}\frac{du}{dx}\\\\\frac{d(\cos u)}{dx}=(-\sin u)\frac{du}{dx}\\\\\frac{d(\sin u)}{dx}=(\cos u)\frac{du}{dx}


"Before you start some work, always ask yourself three questions - Why am I doing it, What the results might be and Will I be successful. Only when you think deeply and find satisfactory answers to these questions, go ahead."

Chanakya quotes (Indian politician, strategist and writer, 350 BC-275 BC)
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kislay (1108)

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 Lithium unlike other alkali metals forms

no ethynide on reaction with ethyne


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kislay (1108)

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 Lithium nitrate when heated gives lithium

oxide, Li2O, whereas other alkali metal

nitrates decompose to give the

corresponding nitrite


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 Thermal decomposition of (NH4)2BeF4 is the

best route for the preparation of BeF
2


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 The alkaline earth metals burn in oxygen to form the

monoxide, MO which, except for BeO, have

rock-salt structure


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kislay (1108)

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Why does the solubility of alkaline earth

metal hydroxides in water increase down

the group?




Solution



Among alkaline earth metal hydroxides,

the anion being common the cationic

radius will influence the lattice enthalpy.

Since lattice enthalpy decreases much

more than the hydration enthalpy with

increasing ionic size, the solubility

ncreases as we go down the group.




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Why does the solubility of alkaline earth

metal carbonates and sulphates in water

decrease down the group?


Solution

The size of anions being much larger

compared to cations, the lattice enthalpy

will remain almost constant within a

particular group. Since the hydration

enthalpies decrease down the group,

solubility will decrease as found for

alkaline earth metal carbonates and

sulphates.




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smarsh (198)

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I THINK ITS BETTER THAT WE SEPARATE THE FORMULAES OF MATH,CHEM AND PHYSICS.......THIS WILL BE VERY CONFUSING FOR THE ONE PREPARING FOR JEE 2008-09..........AND IF POSSIBLE THEN THE TOPIC WISE FORMULAES SHOULD BE GIVEN....
OTHERWISE THIS THREAD WILL BE USEFUL ONLY FOR THE ONES WHO NEEDS RATES.............
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