Recent questions tagged jeemain

The surface tension of soap solution is $0.03 N/m$. The work done in blowing to form a soap bubble of surface area $40\;cm^2$, in Joules, is

asked Oct 18, 2013 by meena.p

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A load of 1 kg weight is attached to one of a steel wire of area of cross- section $3\; mm ^2$ and young's modulus $10^{11}\;Nm^2$. The other end is suspended vertically from a book on a wall, then the load is pulled horizontally and released. When the load passes through its lowest position the fractional change in length is $(g= 10 m/sec^2)$

asked Oct 18, 2013 by meena.p

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A particle is execting simple harmonic motion with an amplitude A and time period T. The displacement of the particles after 2T period from its initial position is

asked Oct 18, 2013 by meena.p

1 answer

The value of $\sum\limits_{n=1}^{\infty}\large\frac{\tan\bigg(\Large\frac{\theta}{2^n}\bigg)}{2^{n-1}\cos\bigg(\Large\frac{\theta}{2^{n-1}}\bigg)}$ is equal to

asked Oct 18, 2013 by sreemathi.v

1 answer

The orbit of geo-stationary satellite is circular, the time period of satellite depends on (a) mass of the satellite (b) mass of the Earth (c) radius of the orbit (d) height of the satellite from the surface of Earth Which of the following is correct?

asked Oct 18, 2013 by meena.p

1 answer

The moment of inertia of a thin circular disc about an axis passing through its centre and perpendicular to its diameter and touching the edge of the rim is

asked Oct 18, 2013 by meena.p

2 answers

A steel wire can withstand a load up to 2940 N. A load of 150 kg. is suspended from a rigid support. The maximum angle through which the wire cam be displaced from the mcan position, so that the wire does not break when the load passes through the position of equilibrium, is

asked Oct 18, 2013 by meena.p

1 answer

Starting from rest, the time taken by a body sliding down on a rough inclined plane at $45^{\circ}$ with the horizontal is, twice the time taken to travel on a smooth plane of same inclination and same distance. Then the coefficient of kinetic friction is

asked Oct 18, 2013 by meena.p

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If $A+B+C=\pi$ then $\sin 2A+\sin 2B-\sin 2C$ is equal to

asked Oct 18, 2013 by sreemathi.v

1 answer

Two particles A and B initially at rest, move towards each other, under mutual force of attraction. At an instance when the speed of A is 'v' and speed of B is '2v', the speed of centre of mass (c.m) is

asked Oct 18, 2013 by meena.p

1 answer

A ball is dropped from a height 'h' on a floor of coefficient of restitution 'e'. The total distance covered by the ball just before second hit is

asked Oct 18, 2013 by meena.p

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A river of salty water is flowing with a velocity 2 m/sec. If the density of the water is $1.2\;gm/c.c$, then the kinetic energy of each cubic metre of water is

asked Oct 18, 2013 by meena.p

1 answer

If a body is projected with an angle $\theta$ to the horizontal, then

asked Oct 18, 2013 by meena.p

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A body thrown vertically up to reach its maximum height in t seconds. The total time from the time of projection to reach a point at half of its maximum height while returning (in seconds) is

asked Oct 18, 2013 by meena.p

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If $A+B+C=\pi$ then the value of $\sin\large\frac{A}{2}$$+\sin\large\frac{B}{2}$$+\sin\large\frac{C}{2}$ is equal to

asked Oct 18, 2013 by sreemathi.v

1 answer

The component of vector $\bar {A}= a_x \hat i + a _y \hat j + a _z \hat k$ along the direction of $\hat i- \hat j$ is

asked Oct 18, 2013 by meena.p

1 answer

The energy (E), angular momentum (L) and universal gravitational constant(G) are chosen as fundamental quantities. The dimensions of universal gravitational constant in the dimensional formula of Planks constant (h) is

asked Oct 18, 2013 by meena.p

1 answer

The solution of the differential equation $xy^2 dy-(x^3+y^3)dx=0$ is

asked Oct 18, 2013 by meena.p

1 answer

The solution of the differential equation $\large\frac{dy}{dx}$$-y \tan x=e^x \sec x$ is

asked Oct 18, 2013 by meena.p

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The smallest positive value of $x$ (in degrees) for which $\tan ( x+100 ^{\circ}$$)=\tan (x+50^{\circ}) \times \tan x \times \tan (x-50^{\circ})$

asked Oct 18, 2013 by sreemathi.v

1 answer

The solution of the differential equation $\large\frac{dy}{dx}=\frac{x-2y+1}{2x-4y}$ is :

asked Oct 18, 2013 by meena.p

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Choose a pair of statements which are true about Gymnophiona

asked Oct 18, 2013 by thanvigandhi_1

1 answer

The solution of the different equation $\large\frac{dy}{dx}=\frac{xy+y}{xy+x}$ is

asked Oct 18, 2013 by meena.p

1 answer

The area (in square units) of the region bounded by the curves $2x=y^2-1$ and $x=0$ is

asked Oct 18, 2013 by meena.p

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$\int \limits_{-\pi/2}^{\pi/2} \sin |x| dx=$

asked Oct 18, 2013 by meena.p

1 answer

$\int \limits _0^1 x^{3/2} \sqrt {1-x}dx=$

asked Oct 18, 2013 by meena.p

1 answer

If $\int e^x(1+x). \sec^2(xe^x)dx-f(x)+constant$ then $f(x)=$

asked Oct 18, 2013 by meena.p

1 answer

If $I_n =\int x^n. e^{ex} dx $ for $ n \geq 1$ then $C.I_n+n.I_{n-1}=$

asked Oct 18, 2013 by meena.p

0 answers

If $\tan\alpha=\large\frac{p}{q}$ where $\alpha=6\beta$ .$\alpha$ being acute angle,then $\large\frac{1}{2}$$[p\; \mathrm{ cosec} 2\beta-q\sec 2\beta]$ is equal to

asked Oct 18, 2013 by sreemathi.v

1 answer

If $ \int e^x \bigg(\large\frac{1- \sin x}{1-\cos x}\bigg)$$dx-f(x)+constant$ then $f(x)=$

asked Oct 18, 2013 by meena.p

0 answers

If $z= \sec^{-1} \bigg(\large\frac{x^4+y^4-8x^2y^2}{x^2+y^2}\bigg)$ then $x \large\frac{dz}{dx}$$+ y \large\frac{dz}{dy}=$

asked Oct 18, 2013 by meena.p

1 answer

The length of the sub tangent at (2,2) to the curve $x^5 =2y^4$ is :

asked Oct 18, 2013 by meena.p

1 answer

If m and M respectively denote the minimum and maximum of $f(x)=(x-1)^2+3$ for $x \in [-3,1]$ then the ordered pair $(n,M)$-

asked Oct 18, 2013 by meena.p

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The value of $\large\frac{\sec 8\theta-1}{\sec 4\theta-1}$ is equal to

asked Oct 18, 2013 by sreemathi.v

1 answer

The angle between the curves $y^2=4x+4$ and $y^2=36(9-x)$ is

asked Oct 18, 2013 by meena.p

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If $\alpha,\beta,\gamma\in (0,\large\frac{\pi}{2})$ then $\sin\alpha+\sin\beta+\sin\gamma$ is

asked Oct 18, 2013 by sreemathi.v

1 answer

If $\sin\alpha+\sin\beta=a,\cos\alpha+\cos\beta=b$ then $\cos(\alpha+\beta)$ is equal to

asked Oct 18, 2013 by sreemathi.v

1 answer

If $x=\sin^{14}\theta+\cos ^{20}\theta$,then for all $\theta\in R$

asked Oct 18, 2013 by sreemathi.v

1 answer

The class of Mollusca with closed type of blood vascular system is

asked Oct 17, 2013 by thanvigandhi_1

1 answer

The ciliate which has peristomial cilia is

asked Oct 17, 2013 by thanvigandhi_1

1 answer

The secretions of these accessory glands in urethra of male Rabbit neutralizes the urinary residue and vaginal acidity

asked Oct 17, 2013 by thanvigandhi_1

1 answer

Match the following

asked Oct 17, 2013 by thanvigandhi_1

1 answer

The equation to the normal to the curve $y^4=ax^3$ at $(a,a)$ is

asked Oct 17, 2013 by meena.p

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If $y=\sin (\log _e x)$ then $x^2 \large\frac{d^2y}{dx^2}+ x \large\frac{dy}{dx}=$

asked Oct 17, 2013 by meena.p

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If $x-a \bigg \{\cos \theta+ \log \tan \bigg(\large\frac{\theta}{2}\bigg)\bigg\}$ and $y= a \sin \theta$ then $\large\frac{dy}{dx}=$

asked Oct 17, 2013 by meena.p

1 answer

If $f(2)=4$ and $f'(2)=1$, then $\lim \limits_{x \to 2} \large\frac{x f(2) -2 f(x)}{x-2}=$

asked Oct 17, 2013 by meena.p

1 answer

If $f: \Re $ is defined by $f(x)= \left\{ \begin{array}{1 1} \frac{\cos 3x- \cos x}{x^2} & \quad for\;x\neq 0 \\ \lambda & \quad for\;x=0 \end{array}. \right. $ and if f is continuous at $x=0,$ then $\lambda=$

asked Oct 17, 2013 by meena.p

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If $f:\Re \to \Re$ is defined by $f(x) =[x-3]+| x-4 |$ for $ x \in \Re$ then $\lim \limits_{x \to 3^-} f(x)=$

asked Oct 17, 2013 by meena.p

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$\lim \limits_{x \to 0} \large\frac{(1-e^x) \sin x}{x^2+x^3}=$

asked Oct 17, 2013 by meena.p

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The radius of the circle with the polar equation $r^2-8r (\sqrt 3 \cos \theta+\sin \theta)+15 -0$ is

asked Oct 17, 2013 by meena.p

1 answer

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