Recent questions tagged jeemain

When the angle of inclination of an inclined plane is 0, an object slides down with uniform velocity. If the same object is pushed with a initial velocity u on the same inclined plane; it goes up the plane and stops at a certain distance on the plane. Thereafter the body:

asked Oct 28, 2013 by meena.p

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$(\hat i\:\hat j\:\hat k)+(\hat j\:\hat k\: \hat i)+(\hat k\:\hat j\:\hat i)=?$

asked Oct 28, 2013 by rvidyagovindarajan_1

1 answer

If $\theta$ is the angle between the vectors $\overrightarrow a$ and $\overrightarrow b$, and $ |\overrightarrow a.\overrightarrow b|=|\overrightarrow a\times\overrightarrow b|$, then $\theta$=?

asked Oct 28, 2013 by rvidyagovindarajan_1

1 answer

If $|\overrightarrow a|=2,\:|\overrightarrow b|= 3$ and $\overrightarrow a.\overrightarrow b=4$, then $|\overrightarrow a-\overrightarrow b|$=?

asked Oct 28, 2013 by rvidyagovindarajan_1

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If $\overrightarrow a$ is a non zero vector with magnitude $a$ and $\lambda a$ is a non zero scalar then $\lambda\overrightarrow a$ is a unit vector if $\lambda=?$

asked Oct 28, 2013 by rvidyagovindarajan_1

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Which of one of the following is a vector?

asked Oct 28, 2013 by rvidyagovindarajan_1

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For a system to follow the law of conservation of linear momentum during a collision the condition is :

asked Oct 28, 2013 by meena.p

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A man of 50kg is standing at one end on a boat of length 25 m and mass $200\;kg$. If he starts running and when he reaches the other end, he has a velocity $2\;ms^{-1}$ with respect to boat The final velocity of the boat is : (in $ms^{-1}$)

asked Oct 28, 2013 by meena.p

1 answer

A bullet of mass 10g id fired horizontally with a velocity $1000 ms^{-1}$ from a rifle situated at a height 50 m above the ground. If the bullet reaches the ground with a velocity $500 ms^{-1}$, the work done against air resistance in the trajectory of the bullet is : $ (g=10\;ms^{-2})$

asked Oct 28, 2013 by meena.p

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A motor is used to deliver water at a certain rate through a given horizontal pipe. To deliver n-times the water through the same pipe in the same time the power of the motor must be increased as follows :

asked Oct 28, 2013 by meena.p

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A body is projected from the earth at angle $30^{\circ}$ with the horizontal with some initial velocity. If its range is 20 m, the maximum height reached by it is : (in meters)

asked Oct 28, 2013 by meena.p

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A man standing on a road has to hold his umbrella at $30^{\circ}$ with the vertical to keep the rain away. He throws the umbrella and starts running at 10 km/h. He finds that raindrops are hitting his head vertically. The actual speed of raindrops is :

asked Oct 28, 2013 by meena.p

1 answer

If G.R.I and I denote capacity, resistance, inductance and electric current respectively, the quantities having the same dimensions of time are : $(1)CR ,\; (2)\;\large\frac{L}{R},\;(3)\;\sqrt {LC}, \;(4)\;LI^2$

asked Oct 28, 2013 by meena.p

1 answer

A student is allowed to select at the most n books from a collection of $2n+1$ books. The no. of ways in which he can select at least one book is 63, then $n$ = ?

asked Oct 28, 2013 by rvidyagovindarajan_1

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If sea water contains 63ppm $NO_3^{-1}$ and its density is 1.01g/ml,the approximate molarity of sea water is

asked Oct 28, 2013 by sreemathi.v

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The molality of 1M solution of NaCl (specific gravity $1.0585g/ml$) is :

asked Oct 28, 2013 by sreemathi.v

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The amount of $H_2SO_4$ present in 1200ml of 0.1m solution is

asked Oct 28, 2013 by sreemathi.v

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Consider the following reaction: $2NH_3(g)+CO_2(g)\rightarrow (NH_2)_2CO(aq)+H_2O(l)$. If $637.2\;g$ $NH_3$ and $1142\;g$ $CO_2$ are allowed to react, then which one is the limiting reagent ?

asked Oct 28, 2013 by sreemathi.v

1 answer

Total number of atoms present in $1.0cm^3$ of solid urea (density 0.3g/$cm^3$) at $25^{\large\circ}$ are

asked Oct 28, 2013 by sreemathi.v

1 answer

The solution of $\large\frac{dy}{dx}$$+1=e^{x+y}$ is

asked Oct 28, 2013 by meena.p

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If molecular weight of glucose-1-phosphate is 260 and its density is 1.5g $cm^{-3}$ ,what is the average volume occupied by 1 molecule of this compound ?

asked Oct 28, 2013 by sreemathi.v

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The solution of $\large\frac{dy}{dx}=\frac{y^2}{xy-x^2}$ is

asked Oct 28, 2013 by meena.p

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The solution of $(x+y+1)\large\frac{dy}{dx}$$=1$

asked Oct 28, 2013 by meena.p

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The differential equation obtained by eliminating the arbitrary constant a and b from $xy=ae^x+be^{-x}$ is

asked Oct 28, 2013 by meena.p

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The area (in square unit ) of the region enclosed by the curves $ y=x^2$ and $y=x^3$ is

asked Oct 28, 2013 by meena.p

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$\int \limits_0^{2x} \sin ^6 x \cos ^5 x dx $ is equal to

asked Oct 28, 2013 by meena.p

1 answer

If $f(t) =\int \limits _{-t}^t \large\frac{e^{-|x|}}{2}$$dx$, then $\lim \limits_{t \to \infty} f(t) $ is equal to

asked Oct 28, 2013 by meena.p

1 answer

$\int \large \frac{\sin x+ 8 \cos x}{4 \sin x+6 \cos x}$$ dx$ is equal to

asked Oct 28, 2013 by meena.p

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A gaseous alkane was exploded with oxygen.The volume of $O_2$ for complete combustion to $CO_2$ formed was in the ratio of 7 : 4.The molecular formula of alkane is

asked Oct 28, 2013 by sreemathi.v

1 answer

The type of association exhibited by Hydroactinia and pagurus is

asked Oct 28, 2013 by thanvigandhi_1

1 answer

Three-lobed diphycercal tail is the feature of this fish :

asked Oct 28, 2013 by thanvigandhi_1

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Which part of the alimentary canal in cockroach secretes peritrophic membrane around the food?

asked Oct 28, 2013 by thanvigandhi_1

1 answer

Amount of oxygen required for combustion of 1kg of a mixture of butane and isobutane is

asked Oct 28, 2013 by sreemathi.v

1 answer

To neutralize completely 20ml of 0.1m aqueous solution of phosphorus $(H_3PO_3)$ acid the volume of 0.1m aqueous KOH solution required is

asked Oct 28, 2013 by sreemathi.v

1 answer

$6.02\times 10^{20}$ molecules of urea are present in 100ml solution.The concentration of urea solution is

asked Oct 28, 2013 by sreemathi.v

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25ml of a solution of barium hydroxide titration with 0.1molar solution of hydro-chloric acid gave a titre value of 35ml.The molarity of barium hydroxide is

asked Oct 28, 2013 by sreemathi.v

1 answer

$\int \tan^{-1} \bigg(\sqrt {\large\frac{1-x}{1+x}}\bigg)$$dx$ is equal to

asked Oct 28, 2013 by meena.p

1 answer

What volume of hydrogen gas at 273K and 1atm pressure will be consumed in obtaining 21.6g of element boron (at.mass=0.8) from the reduction of boron trichloride with hydrogen ?

asked Oct 28, 2013 by sreemathi.v

1 answer

If $ \int \large\frac{e^x-1}{e^x+1}$$dx=f(x)+c$, then f(x) is equal to

asked Oct 28, 2013 by meena.p

0 answers

If $z= \log (\tan x +\tan y)$, then $(\sin 2x) \large\frac{\partial z}{\partial x}$$+(\sin 2y) \large\frac{\partial z}{\partial y}$ is equal to

asked Oct 28, 2013 by meena.p

1 answer

Observe the statement given below: Assertion (A): $f(x)=x e^{-x}$ has the maximum at $x=1$ Reason (R): $ f(1)=0$ and $f(1) <0$ which of following is correct ?

asked Oct 28, 2013 by meena.p

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In compound $C,H,N$ atoms are present in 9 : 1 : 35 by weight .Molecular weight of compound is 108.It molecular formula is

asked Oct 28, 2013 by sreemathi.v

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The circumference of a circle is measured as 56 cm with an error 0.02 cm. The percentage error in its area is

asked Oct 28, 2013 by meena.p

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Which of the following changes with increases in temperature?

asked Oct 28, 2013 by sreemathi.v

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The condition $f(x)=x^3+px^2+qx+r(x \in R)$ to have no extreme value, is

asked Oct 28, 2013 by meena.p

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The lengths of tangent, subtangent, normal and subnormal for the curve $y=x^2+x-1$ at $(1,1)$ are A,B,C and D respectively then their increasing order is

asked Oct 28, 2013 by meena.p

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$x=\cos \theta,y= \sin 5 \theta =>(1-x^2)\large\frac{d^2y}{dx^2}$$ - x \large\frac{dy}{dx}$ is equal to

asked Oct 28, 2013 by meena.p

1 answer

Number of atoms in 558.5g $Fe$ (at.wt =55.85) is

asked Oct 28, 2013 by sreemathi.v

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$y= \log \bigg \{ \bigg (\large\frac{1+x}{1-x}\bigg )^{1/4}\bigg\}-\frac{1}{2}$$ \tan ^{-1}(x),$ then $\large\frac{dy}{dx}$ is equal to

asked Oct 28, 2013 by meena.p

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One litre of $CO_2$ is passed over hot cake.The volume becomes 1.4litre.The percent composition of products is

asked Oct 28, 2013 by sreemathi.v

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