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What is octane number concept ? Help me calculate octane numbers of n-octane,n-heptane,n-nonane ...
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In which case would boiling of 1 kg water be quicker a)In a flat pan of negligible height b)In a very thin capillary of length 76cm ...
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1)RCOCl +N3H/Δ/H2O → 2) *Image* + Cu2+/O2 → ...
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Let f:R→R be a differentiable function such that f(x)=x2+e-x∫01 et f(t) dt q1 f(x) increases in ? q2 Value of ∫01 f(x) dx ...
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Let f(x)=\begin{Bmatrix} 1-\left|x \right| & \left| x\right|\leq 1 \\ 0& \left| x\right|\geq 1 \end{Bmatrix} and g(x)=\left| f(x+1)\right|+\left| f(x-1)\right| Number of points where g(x) is discontinuous ? ...
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q1 \lim_{x\rightarrow \infty}[\sqrt{x+\sqrt{x+\sqrt{x}}}-\sqrt{x}] q2 \lim_{x\rightarrow 0}\frac{e^{tanx}-e^x}{tanx-x} ...
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q1 S=\sum_{r=0}^{n-1}{\frac{1}{(n-r)^2}}(\frac{C_{r+1}}{C_r})^2 q2 S=\frac{C_0}{n(n+2)}-\frac{C_1}{(n+1)(n+3)}+\frac{C_2}{(n+2)(n+4)}......(n+1) terms ...
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q1 Let an=5n+7n and \Delta =\begin{vmatrix} a_{n+1} &a_{n+2} &a_{n+3} \\ a_{n+4} &a_{n+5} &a_{n+6} \\ a_{n+7} & a_{n+8} & a_{n+9} \end{vmatrix} then Δ= ? q2 Let \ f_k(x)=\int_{0}^{x}{(a_kt^2+b_kt+c_k)dt} \ for \ 1\leq k \leq ...
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q1 Find intervals of continuity,differentiability 1) sin-1( 1+x2/2x ) 2) [x[1-x]] [.] denotes Greatest Integer function q2 Find Domain and range 1/[sinx] q3 f(x) and g(x) are twice differentaible functions in [0,2]. If f"(x)= ...
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Is there any formula to calculate structural isomers,geometric isomers(cis-trans) like we have studied for optical isomers ? ...
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Wikipedia (http://en.wikipedia.org/wiki/Integration_by_parts) mentions LIATE rule to be followed when integrating by parts,whereas I have studied ILATE rule. Which is appropriate method ? ...
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q1> C6H5-COOH + CH3MgI → q2> CH3CONHC6H5 +Br2/Fe → ...
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How many possible ways to : ∫ dx/x ...
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What effect does electronegativity difference between bonded elements have on bond strength ? ...
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Why Magnetic force on a current carrying loop in a constant magnetic field is Zero? ...
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q1>Find points of discontinuity \begin{Bmatrix} [cos(\pi x)] & x\leq 1 \\ \left|2x-3 \right|[x-2] & x>1 \\ \end{Bmatrix} q2> FInd points of dicontinuity \begin{Bmatrix} 2x+1 & x\epsilon Q \\ x^2 & x\epsilon \bar{Q} \ ...
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q1> Under which category does dative bond come - Sigma bond or pi bond ? q2> Arrange in increasing order of ease H-Shift,Alkyl shift,Ring expansion q3> Draw Structure of IFCl ...
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A five digit number contains 1,2,3,4,5 without repetition.The probability that number is divisble by 1)4 2)12 3)24 A bag contains 6 red and 3 white balls .Four balls are drawn one by one and not replaced.The probablity that t ...
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If S=1+2+4+8+16+...∞.Then S is a positive number.Multiply both sides by 2,then it is found that 2S=S-1 which leads to conclusion that S=-1 which is certainly negative.Do you agree with conclusion?Give a suitable explainatio ...
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Q1: If a,b,c are digits ,then rational number represented by 0.cababab.... is ? Q2: Calculate sum of products of ten numbers ±1,±2,±3,±4,±5 taking two at a time. Q3: Sum of series 1/ 3 + 7 + 1/ 7 + 11 + 1/ 11 + 15 ..... ...
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Q1 Find F(x)=limn→∞( x2nf(x)+g(x)/x2n+1 ) when: a)x<-1 b)-1<x<0 c)0<x<1 d)x>1 where f(x) and g(x) are continuous functions Q2 limn→∞ an/n! ; a ε R Q3 limn→∞ (1+ 1/a1 )(1+ 1/a2 )(1+ 1/a3 )...(1+ ...
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Colloidal solns of glycine and alanine in acidic medium are prepared and mixed.The process which takes place on mixing is called ? ...
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The vapor pressure lowering of 0.1M aqueous solution of non electrolyte at 75° C is ? ( ΔHv of water =9720 cal/mol and antilog 0.407=2.55) ...
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In manufacture of iron a gas A is formed in zone of combustion of balst furnace.Gas A reacted with coke in zone of fusion to form another gas B.x moles of B react with iron at 200 C and 100 atm pressure to form C,one mole of ...
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Let a real function f(x) satisfy following conditions : 1)f(x+y+1)=(\sqrt{f(x)}+\sqrt{f(y)})^2 2)f(0)=1 3)f(x)\geq 0 \ \forall x\in R Find f(x) ...
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Q1 \ \int \frac{dx}{x^{22}(x^7-6)} Q2 \ Let \ t(x)=u(x)-v(x) \ where \ u(x)=sin^62\pi x \ and \ v(x)=lnx Prove \ area \ enclosed \ by \ u(x) \ and \ v(x) \ is \sum_{r=0}^{n}{\int_{x_r}^{x_{r+1}}{(-1)^r.t(x)dx}} \ where \ x_0, ...
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To calculate order of acid strength do we need to calculate order of strength of conjugate base OR order of stability of conjugate base ? [273] ...
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1> \lim_{x\rightarrow 0}\frac{e^{-4x}-1}{e^{-2x}+e^{-x}-2} 2> \lim_{x\rightarrow -1^{+}}\frac{\sqrt{\pi}-\sqrt{cos^{-1}x}}{\sqrt{x+1}} 3> \lim_{x\rightarrow 1}(1-x)tan(\frac {\pi x}{2}) ...
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The state of polarization of light with electric field vector \bar{E}=\hat{i}E_0cos(kz-\omega t)-\hat{j}E_0cos(kz-\omega t) is a)linearly polarized along Z axis b)linearly polarized at 45° to X axis c)circularly polarized d) ...
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When a ray of light is passed through calcite crystal,it splits up into _____ refracted rays ...
