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Recent questions tagged medium
Questions
Integrate : $\int \cos (\log x)dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
medium
q174
asked
Dec 24, 2013
by
meena.p
1
answer
Intergate : $\int \sqrt {\large\frac{x+a}{x}}$$dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
medium
q172
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate : $\int \large\frac{1}{x+\sqrt x}$$dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
medium
q170
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate : $\int \log \large\frac{[x +\sqrt {1+x^2}]}{\sqrt {1-x^2}}$$dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
medium
q167
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate : $ \int \sqrt {1+ \sin 4x}$$dx$
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
medium
q165
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate : $\int \large\frac{7}{9} x^{3/2} \tan ^5 (x^{5/2}) \sec^2 (x^{5/2}).dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
medium
q157
asked
Dec 24, 2013
by
meena.p
1
answer
If the line $\large\frac{x-2}{3}=\frac{y-1}{-5}=\frac{z-2}{2}$ lie in the plane $x+3y-\alpha z+\beta=0, \;\;then\:\:(\alpha,\beta)=?$
jeemain
math
class12
ch11
3d-geometry
intersection-between-a-line-and-a-plane
medium
q5
asked
Dec 23, 2013
by
rvidyagovindarajan_1
1
answer
Integrate : $\int \large\frac{\sin 2x }{a \cos ^2 x + b \sin ^2 x }$$dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
medium
q144
asked
Dec 23, 2013
by
meena.p
1
answer
Integrate: $ \int \large\frac{dx}{x \sqrt {1-x^3}}$$= a \log \bigg| \large\frac{\sqrt {1-x^3}-1}{\sqrt {1-x^3}+1}\bigg|$ find the value of a
jeemain
math
class12
ch7
integral-calculus
integrals-as-an-anti-derivative
medium
q141
asked
Dec 23, 2013
by
meena.p
1
answer
Integrate : $ \int \large\frac{1}{\cos x - \sin x}$$dx$
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
medium
q137
asked
Dec 23, 2013
by
meena.p
1
answer
Integrate : $\int \sqrt {(\sec x -1)}.dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
medium
q136
asked
Dec 23, 2013
by
meena.p
1
answer
Integrate : $\int a^{\large a^{\Large a^{\Large a^{x}}}}.a^{\large a^{\Large a^{x}}}.a^{a^{x}}.a^{x}$$.dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
medium
q135
asked
Dec 23, 2013
by
meena.p
1
answer
If $( x = \sqrt {a^{\large sin^{-1}t}}, \: y = \sqrt {a^{\large cos^{-1}t}} ),$ what is the value of $\frac {\large dy}{\large dx}$
cbse
class12
additionalproblem
ch5
sec-b
medium
math
jeemain
limits-continuity-and-differentiability
differentiability
asked
Dec 22, 2013
by
balaji.thirumalai
1
answer
Evaluate $\large \int \frac{2\sin 2 x -\cos x }{6-\cos^2x -4\sin x }$$dx$.
cbse
class12
additionalproblem
integral-calculus
sec-b
medium
ch7
math
asked
Dec 22, 2013
by
balaji.thirumalai
1
answer
If $x^y\; y^x = 100$, evaluate $\large \frac{dy}{dx}$
cbse
class12
math
additionalproblem
jeemain
limits-continuity-and-differentiability
ch5
sec-a
differentiability
medium
asked
Dec 22, 2013
by
balaji.thirumalai
1
answer
Evaluate: $\large \int \frac {1 + \tan^2 x} {\sqrt (1 - \tan^2 x)}\; $$dx$
integral-calculus
math
cbse
ch7
sec-a
class12
medium
additionalproblem
jeemain
mock
asked
Dec 22, 2013
by
balaji.thirumalai
1
answer
Integrate : $ \int \large\frac{x^{e-1}+e^{x-1}}{x^e+e^x}$$dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
medium
q134
asked
Dec 21, 2013
by
meena.p
1
answer
Integrate : $\int \large\frac{\sin x}{\sin (x-\alpha)}$$dx$
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
medium
q132
asked
Dec 21, 2013
by
meena.p
1
answer
Which of following statements is incorrect for a first order reaction, where $T_x$ is the time taken for the reactant to drop by that % number.
jeemain
chemistry
chemical-kinetics
physical-chemistry
class12
ch4
rate-of-reaction
general-characteristics
medium
first-order-reactions
asked
Dec 19, 2013
by
sreemathi.v
1
answer
The inactivation of a viral preparation is found to be first order reaction.If in beginning $1.5\%$ of virus is inactivated then calculate time required for 50V inactivation.
jeemain
chemistry
chemical-kinetics
physical-chemistry
class12
ch4
rate-of-reaction
medium
half-life
asked
Dec 19, 2013
by
sreemathi.v
1
answer
For following data for hydrolysis of benzene diazonium chloride $C_6H_5-N=N-Cl+H_2O\rightarrow C_6H_5OH+HCl+N_2(g)$, What is the first order calculate rate constant?
jeemain
chemistry
chemical-kinetics
physical-chemistry
class12
ch4
rate-of-reaction
rate-constant
medium
asked
Dec 19, 2013
by
sreemathi.v
1
answer
$f'(x) = a \cos x + b \sin x ;\; f'(0)=4;\; f(0)=3;\; f \bigg(\large\frac{\pi}{2}\bigg)$$=5$. Find the value of $\;f(x)\;$?
jeemain
math
class12
ch7
integral-calculus
definite-integrals-as-limit-of-sum
medium
asked
Dec 19, 2013
by
meena.p
1
answer
An optically active compound A upon acid catalyzed hydrolysis yield two optically active compound B & C by first order kinetics.It is given that $[\alpha_0]$ for $A,B$ & C are $60^o,40^o$ & $-80^o$ respectively.If observed both of the mixture after 20 minute was $5^o$ while after completion of the reaction it was $-20^o$.What is $t_{1/2}$ of reaction?
jeemain
chemistry
chemical-kinetics
physical-chemistry
class12
ch4
rate-of-reaction
medium
half-life
difficult
asked
Dec 18, 2013
by
sreemathi.v
1
answer
A solution of A is mixed with equal volume of a solution of B containing the same number of moles,for reaction $A+B\rightarrow C$.At the end of 1 hour,A is 75% reacted.How much of A will be left unreacted at the end of 2hours if the reaction is first order in A & zero order in B.
jeemain
chemistry
chemical-kinetics
physical-chemistry
class12
ch4
rate-of-reaction
concentration
medium
asked
Dec 18, 2013
by
sreemathi.v
1
answer
Use the data to determine rate law for reaction: $2NO+H_2\rightarrow N_2O+H_2O$
jeemain
chemistry
chemical-kinetics
physical-chemistry
class12
ch4
rate-of-reaction
rate-law
medium
asked
Dec 18, 2013
by
sreemathi.v
1
answer
It take 40min for concentration of reactant in first order to drop from 0.4M to 0.3M at $25^oC$.How long it will take for reaction to be 90% complete?
jeemain
chemistry
chemical-kinetics
physical-chemistry
class12
ch4
rate-of-reaction
concentration
medium
asked
Dec 18, 2013
by
sreemathi.v
1
answer
For chemical reaction shown below.Which of following statements can be rightly assumed?
jeemain
chemistry
chemical-kinetics
physical-chemistry
class12
ch4
order-of-a-reaction
general-characteristics
medium
asked
Dec 18, 2013
by
sreemathi.v
1
answer
Consider proposed mechanism for reaction between nitrogen monoxide and hydrogen gas.Step (i):$2NO\rightarrow N_2O_2$,Step 2:$N_2O_2+H_2\rightarrow N_2O+H_2O$,Step 3:$N_2O+H_2\rightarrow N_2+H_2O$.If step 2 rate determining step,then rate law for reaction and all the intermediate of reaction will be
jeemain
chemistry
chemical-kinetics
physical-chemistry
class12
ch4
rate-of-reaction
general-characteristics
rate-law
medium
reaction-mechanisms
asked
Dec 18, 2013
by
sreemathi.v
1
answer
At $150^oC$ the decomposition of acetaldehyde to methane is first order reaction. If rate constant for reaction at $750^oC$ is $0.05m^{-1}$, how long does it take a concentration of $0.04\;mol\;L^{-1}$ of acetaldehyde to reduce concentration of $0.03\;mol\;L^{-1}$?
jeemain
chemistry
chemical-kinetics
physical-chemistry
class12
ch4
rate-of-reaction
medium
asked
Dec 18, 2013
by
sreemathi.v
1
answer
What is the rate constant for a reaction of $(CH_3)_3CBr$ with water is represented below :$CH_3)_3CBr+H_2O\rightarrow (CH_3)_3COH+HBr$ where the following data was obtained experimentally:
jeemain
chemistry
chemical-kinetics
physical-chemistry
class12
ch4
rate-of-reaction
medium
asked
Dec 18, 2013
by
sreemathi.v
1
answer
Consider the following reaction:- <p> Step (i): $H_2O_2+I^-\rightarrow H_2O+IO^-$, </p> <p> Step (ii): $H_2O_2+IO^-\rightarrow H_2O+O_2+I^-$, </p> then reaction intermediate will be
reaction-mechanisms
jeemain
chemistry
chemical-kinetics
physical-chemistry
class12
ch4
medium
asked
Dec 18, 2013
by
sreemathi.v
1
answer
Which one of following changes would result in greatest increase in reaction rate in the following two-step mechanism?
jeemain
chemistry
chemical-kinetics
physical-chemistry
class12
ch4
rate-of-reaction
reaction-mechanisms
medium
asked
Dec 18, 2013
by
sreemathi.v
1
answer
Consider following reactions :(i) $H_2(g)+I_2(g)\rightarrow 2HI(g),(ii)\;2Mg(s)+O_2(g)\rightarrow 2MgO(s),(iii)\;CaCO_3(s)+2H^+(aq)\rightarrow Ca^{+2}(aq)+H_2O(l)+CO_2(g)$.When we increase surface area will increase reaction rate in
jeemain
chemistry
chemical-kinetics
physical-chemistry
class12
ch4
rate-of-reaction
surface-area
effect-of-catalyst
medium
asked
Dec 18, 2013
by
sreemathi.v
1
answer
Consider following potential energy graph
jeemain
chemistry
chemical-kinetics
physical-chemistry
class12
ch4
activation-energy
medium
asked
Dec 17, 2013
by
sreemathi.v
1
answer
Integrate : $ \int \limits_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \large\frac{\log (5 - \theta \sin \theta)}{\log (5+\theta \sin \theta)}$$d \theta$
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
medium
q66
asked
Dec 17, 2013
by
meena.p
1
answer
The variation of PE & KE as reactant molecules approach each other can be represented by
jeemain
chemistry
chemical-kinetics
physical-chemistry
class12
ch4
activation-energy
medium
basics
asked
Dec 17, 2013
by
sreemathi.v
1
answer
Integrate : $\int \limits_0^{\frac{\pi}{2}} \large\frac{\phi(x)}{\phi (\Large\frac{\pi}{2}-x)+\phi (x)}$$dx$
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
medium
q62
asked
Dec 17, 2013
by
meena.p
1
answer
An activated complex has
jeemain
chemistry
chemical-kinetics
physical-chemistry
class12
ch4
activation-energy
medium
basics
asked
Dec 17, 2013
by
sreemathi.v
1
answer
If for same temperature we consider the following two reactions, then Collision I is successful and II is not because of what?
jeemain
chemistry
chemical-kinetics
physical-chemistry
class12
ch4
collision-theory
medium
asked
Dec 17, 2013
by
sreemathi.v
1
answer
Integrate: $\int \limits_0^{\rho} \large\frac{y.dy}{\sqrt {y+\rho}}$
jeemain
math
class12
ch7
integral-calculus
definite-integrals-by-substitution
medium
q60
asked
Dec 17, 2013
by
meena.p
1
answer
Integrate: $\int \limits_0^{\rho} \large\frac{y.dy}{\sqrt {y+\rho}}$
jeemain
math
class12
unit9
integral-calculus
medium
q60
asked
Dec 17, 2013
by
meena.p
0
answers
In the following reaction and graph:$2H_2O_2(l)\rightarrow 2H_2O_2+O_2(g)$, he average rate of reaction is greatest in which time period?
jeemain
chemistry
chemical-kinetics
physical-chemistry
class12
ch4
rate-of-reaction
general-characteristics
medium
gaphs
asked
Dec 17, 2013
by
sreemathi.v
1
answer
Consider the following reaction; $2H_2O_2(l)\rightarrow 2H_2O(l)+O_2(g)$ which graph shows the relation between rate of consumption of $H_2O_2$ and time?
jeemain
chemistry
chemical-kinetics
physical-chemistry
class12
ch4
rate-of-reaction
general-characteristics
medium
graphs
asked
Dec 17, 2013
by
sreemathi.v
1
answer
For the reaction $A\;\;\;\underrightarrow{k_1}\;\;\;B\;\;\;\underrightarrow{k_2}\;\;\;C$, select the correct statement:
jeemain
chemistry
chemical-kinetics
physical-chemistry
class12
ch4
rate-of-reaction
reaction-mechanism
consecutive-reactions
medium
asked
Dec 17, 2013
by
sreemathi.v
1
answer
A first order reaction is 50% completed in 45 minute at $87^oC$ and in 9minutes at $127^oC$.The energy of activation of the reaction is
jeemain
chemistry
chemical-kinetics
physical-chemistry
class12
ch4
rate-of-reaction
medium
activation-energy
asked
Dec 17, 2013
by
sreemathi.v
1
answer
Integrate: $\int \limits_{0}^{\large\frac{\pi}{2}} \large\frac{\cos x}{(1+\sin x)(2+ \sin x)}$$ dx $
jeemain
math
class12
ch7
integral-calculus
definite-integrals-by-substitution
medium
q55
asked
Dec 16, 2013
by
meena.p
1
answer
Suppose f is such , that $f(-x) =-(x) $ for every real x and $\int\limits_0^1 f(x)x=5$ then $\int \limits _{-1}^0 =?$
jeemain
math
class12
ch7
integral-calculus
definite-integrals-by-substitution
medium
q53
asked
Dec 16, 2013
by
meena.p
1
answer
Integrate: $Un =\int \limits_0^{\large\frac{\pi}{4}} \tan ^n x dx$, find $U_n+U_{n-2}$
jeemain
math
class12
ch7
integral-calculus
integration-by-parts
medium
q50
asked
Dec 16, 2013
by
meena.p
1
answer
What is the unit of k of a $n^{th}$ order reaction?
jeemain
chemistry
chemical-kinetics
physical-chemistry
class12
ch4
rate-of-reaction
general-characteristics
rate-constant
basics
medium
asked
Dec 16, 2013
by
sreemathi.v
1
answer
What is the rate of the reaction $A+B\rightarrow C$ based on the following experiments:
jeemain
chemistry
chemical-kinetics
physical-chemistry
class12
ch4
rate-of-reaction
general-characteristics
medium
asked
Dec 16, 2013
by
sreemathi.v
1
answer
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