Recent questions tagged 2015

From the top of a 64 meters high tower , a stone is thrown upwards vertically with the velocity of $48\;m/s$ The greatest height (in meters) attained by the stone, assuming the value of the gravitational acceleration $ g= 32\;m/s^2$ is :

asked Oct 7, 2015 by meena.p

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Let k and K be the minimum and the maximum values of the function $f(x)= \large\frac{(1+x)^{0.6}}{1+x^{0.6}}$ in $[0,1]$ respectively , then the ordered pair $(k,K)$ is equal to :

asked Oct 7, 2015 by meena.p

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The equation of a normal to the curve , $\sin y = x \sin \bigg( \large\frac{\pi}{3}+y\bigg)$ at $x=0$ is

asked Oct 7, 2015 by meena.p

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Let k be a non-zero real number . If $f(x) = \left\{ \begin{array} {1 1} \large\frac{ (e^x-1)^2 }{\sin(x/k) log(1+x/4)}, & \quad x \neq 0 \\ 12 ,& \quad x=0\\ \end{array} \right. $ is a continuous function, then the value of k is

asked Oct 7, 2015 by meena.p

1 answer

If $ \sum^5_{n=1} \large\frac{1}{n(n+1)(n+2)(n+3)}=\frac{k}{3}$, then $k$ to equal to :

asked Oct 7, 2015 by meena.p

1 answer

The Sum of the 3rd and the 4th terms of a G.P is 60 and the product of its first three terms is 1000. If the first term of this G.P is positive , then its 7th term is :

asked Oct 6, 2015 by meena.p

1 answer

The term independent of x in the binomial expansion of $ \bigg( 1- \large\frac{1}{x}$$+3x^5\bigg) \bigg(2x^2-\large\frac{1}{x}\bigg)^8$ is

asked Oct 6, 2015 by meena.p

1 answer

If in a regular polygon the number of diagonals is $54$ , then the number of sides of this polygon is :

asked Oct 6, 2015 by meena.p

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If $\begin{vmatrix} x^2+x & x+1 & x-2 \\2x^2+3x-1 & 3x & 3x-3 \\ x^2+2x+3 & 2x-1 & 2x-1 \end{vmatrix}=ax-12$ then 'a' is equal to :

asked Oct 6, 2015 by meena.p

1 answer

If A is a $3 \times 3 $ matrix such that $|5.adj A|=5,$ then $|A|$ is equal to :

asked Oct 6, 2015 by meena.p

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If the two roots of the equation, $(a-1)(x^4+x^2+1)+(a+1)(x^2+x+1)^2=0$ are real and distinct , then the set of all values of 'a' is :

asked Oct 6, 2015 by meena.p

1 answer

If z is a non-real complex number, then the minimum value of $ \large\frac{I_mz^5}{(I_mz)^5}$ is :

asked Oct 6, 2015 by meena.p

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Let $A=\{x_1,x_2....,x_7\}$ and $B= \{y_1,y_2,y_3\}$ be two sets contains seven and three distinct elements respectively. Then the total number of function $f:A \to B$ that are onto , if there exist exactly three elements x in A Such that $f(x)=y_2$ , is equal to :

asked Oct 6, 2015 by meena.p

1 answer

A pink coloured salt turns begin on heating . The presence of which cation is most likely ?

asked Oct 6, 2015 by meena.p

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Which artificial sweetener contains chlorine ?

asked Oct 6, 2015 by meena.p

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Accumulation of which of the following molecules in the muscles occurs as a result of vigorous exercise ?

asked Oct 6, 2015 by meena.p

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Which one of the following structure represents the neoprene ?

asked Oct 6, 2015 by meena.p

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Which compound exhibits maximum dipole moment among the following ?

asked Oct 6, 2015 by meena.p

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In the reaction sequence

asked Oct 6, 2015 by meena.p

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What is the major product expected from the following reaction ? Where $D$ is an isotope of Hydrogen ?

asked Oct 6, 2015 by meena.p

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The number of structural isomers for $C_6H_{14}$ is :

asked Oct 6, 2015 by meena.p

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Which of the following pairs of compounds are positional isomers ?

asked Oct 6, 2015 by meena.p

1 answer

Match the organic compounds in column -I with the Lassaigne's test results in column -II appropriately

asked Oct 6, 2015 by meena.p

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Addition of phosphate fertilizers to water bodies causes

asked Oct 5, 2015 by meena.p

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Which of the following complex ions has electrons that are symmetrically filled in both $t_{2g}$ and $e_{g}$ orbitals ?

asked Oct 5, 2015 by meena.p

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When concentrated $HCl$ is added to an aqueous solution of $CaCl_2$, its $coCl_2$ its colour changes from reddish pink to deep blue. Which complex ion gives blue in this reaction ?

asked Oct 5, 2015 by meena.p

1 answer

Which of the following statements is false ?

asked Oct 5, 2015 by meena.p

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Chlorine water on standing loses its color and forms ?

asked Oct 5, 2015 by meena.p

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Which of the following compounds has a P-P bond?

asked Oct 5, 2015 by meena.p

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Which of the alkaline earth metal halides given below is essentially covalent in nature ?

asked Oct 5, 2015 by meena.p

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Which physical property of dihydrogen is wrong ?

asked Oct 5, 2015 by meena.p

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Calamine is an ore of :

asked Oct 5, 2015 by meena.p

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Choose the incorrect formula out of the four compounds for an element X below:

asked Oct 5, 2015 by meena.p

1 answer

Under ambiet conditions , which among the following surfactants will form micelles in aqueous solution at lower molar concentration ?

asked Oct 5, 2015 by meena.p

1 answer

$A+2B \to C$ , the rate equation for this reaction is given as $Rate = k[A][B]$. If the concentration of A is kept the same but that of B is doubled What will happen to the rate itself ?

asked Oct 5, 2015 by meena.p

1 answer

At $298\;K$ the standard reduction potential are $1.51\;V$ for $MnO_4^{-} |Mn^{2+}, 1.36\;V$ for $Cl_2|Cl^{-}, 1.07\;V$ for $Br_2|Br^{-}$, and $0.54\;V$ for $I_2|I^{-}.$ At $pH=3$ permanganate is expected to oxidize$\bigg( \large\frac{RT}{F} $$=0.059\;V\bigg)$

asked Oct 5, 2015 by meena.p

1 answer

The increase of pressure on ice to water system at constant temperature will lead to :

asked Oct 5, 2015 by meena.p

1 answer

Determination of the molar of acetic acid in benzene using freezing point depression is affected by

asked Oct 5, 2015 by meena.p

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For the equilibrium, $A(g) \to B(g), \Delta H$ is $-40\;kJ/mol$. If the ratio of the activation energies of the forward $(E_f)$ and reverse $(E_b)$ reaction is $ \large\frac{2}{3}$ then

asked Oct 5, 2015 by meena.p

1 answer

Molecule $AB$ has a bond length of $1.617 A^{\circ}$ and a dipole moment of $0.38\;D$. The fractional charge on each atom (absolute magnitude) is : $(e_0=4.802 \times 10^{-10}\;esu)$

asked Oct 5, 2015 by meena.p

1 answer

At temperature T, the average kinetic energy of any particles is $\large\frac{3}{2}$KT . The de Brogile wavelength follows the order :

asked Oct 5, 2015 by meena.p

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When does a gas deviate the most from its ideal behaviour?

asked Oct 5, 2015 by meena.p

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$A+2B+3C \to AB_2C_3$ Reaction of $60\;g$ of $A, 6.0 \times 10^{23}$ atomic mass of A and C are $60$ and $80$ amu, respectively , the atomic mass of B is (Avogadro no $=6 \times 10^{23}$):

asked Oct 5, 2015 by meena.p

1 answer

The AC voltage across a resistance can be measured using a :

asked Oct 5, 2015 by meena.p

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A 2V battery is connected across AB as shown in the figure. The value of the current supplied by the battery when in one case battery 's positive terminal is connected to B will respectively be :

asked Oct 5, 2015 by meena.p

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Let $N_{\beta}$ be the number of $\beta$ particles emitted by $1\;gram$ of $Na^{24}$ radioactive nuclei (half life = 15 hrs) in $7.5$ hours , $N_{\beta}$ is close to (Avogadro number

asked Oct 5, 2015 by meena.p

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The de- Broglie wavelength associate with the electron in the $n=4$ level is :

asked Oct 5, 2015 by meena.p

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Unpolarized light of intensity $I_0$ is incident on surface of a block of gass at Brewster's angle. In that case , which one of the following statement is true ?

asked Oct 5, 2015 by meena.p

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In a Young's double slit experiment with light of wavelength $\lambda$ the separation of slits is d and distance of screen is D. Such that $D >> d >> \lambda$ . If the Fringe width is $\Beta$ the distance from point where intensity of the point where intensity falls to half of maximum intensity on either side is :

asked Oct 5, 2015 by meena.p

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A thin convex lens of focal length 'f' is put on a plane mirror as shown in the figure . When an object is kept at a distance 'a' from the lens - mirror combination , its image is formed at a distance $\large\frac{a}{3}$ in front of the combination. The value of 'a' is :

asked Oct 5, 2015 by meena.p

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