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Recent questions tagged eamcet
Questions
A tension of $20 \;N$ is applied to a copper wire of cross sectional area $0.01\;cm^2$, Young's Modulus of copper is $1.1 \times 10^{11} \;N/m^2$ and Poisson's ratio is $0.32$. The decrease in cross sectional area of the wire is
jeemain
eamcet
physics
2013
q93
asked
Sep 17, 2013
by
meena.p
1
answer
Two particles A and B of masses 'm' and '2m' are suspended from two mass less springs of force constants $K_1$ and $K_2$. During their oscillation, if their maximum velocities are equal, then ratio of amplitudes of A and B is
jeemain
eamcet
physics
2013
q92
asked
Sep 17, 2013
by
meena.p
1
answer
The gravitational force acting on a particle, due to a solid sphere of uniform density and radius $R$, at a distance of $3R$ from the center of the sphere is $F_1$. A spherical hole of radius $(R/2)$ is now made in the sphere as shown in the figure. The sphere with hole now exerts a force $F_2$ on the same particle. Ratio of $F_1$ to $F_2$ is :
jeemain
eamcet
physics
2013
q91
asked
Sep 17, 2013
by
meena.p
1
answer
A uniform circular disc of radius R, lying on a friction less horizontal plane is rotating with an angular velocity $\omega$ about its own axis. Another identical circular disc is gently placed on the top of the first disc coaxially. The loss in rotational kinetic energy due to friction between the two discs, as they acquire common angular velocity is (I is moment of inertia of the disc)
jeemain
eamcet
physics
2013
q90
asked
Sep 17, 2013
by
meena.p
1
answer
Moment of inertia of a body about an axis is $4\;kgm^2$. The body is initially at rest and a torque of $8\;Nm$ starts acting on it along the same axis. Work done by the torque in $20\;sec.$ in joules, is
jeemain
eamcet
physics
2013
q89
asked
Sep 17, 2013
by
meena.p
1
answer
The upper half of an inclined plane with an angle of inclination $\phi$, is smooth while the lower half is rough. A body starting from rest at the top of the inclined plane comes to rest at the bottom of the inclined plane. Then the coefficient of friction for the lower half is
jeemain
eamcet
physics
2013
q88
asked
Sep 17, 2013
by
meena.p
1
answer
A mass of $2.9 $ kg is suspended from a string of length $50\; cm$ and is at rest. Another body of mass $q00 \;g$, which is moving horizontally with a velocity of $150\;m/s$ strikes and sticks to it. Subsequently when the string makes an angle of $60^{\circ}$ with the vertical, the tension in the string is $(g=10 m/s^2)$
jeemain
eamcet
physics
2013
q87
asked
Sep 17, 2013
by
meena.p
1
answer
Two bodies of mass 4 kg and 5 kg are moving along east and north directions with velocities 5 m/s and 3 m/s respectively. Magnitude of the velocity of center of mass of the system is
jeemain
eamcet
physics
2013
q86
asked
Sep 17, 2013
by
meena.p
1
answer
A ball at rest is dropped from a height of 12 m. It looses $25 \%$ of its Kinetic energy on striking the ground and bounces back to a height 'h'. Then value of 'h' is
jeemain
eamcet
physics
2013
q85
asked
Sep 17, 2013
by
meena.p
1
answer
Two wooden blocks of masses M and m are placed on a smooth horizontal surface as shown in figure. If a force P is applied to the system as shown in figure such that the mass m remains stationary with respect to block of mass M, then the magnitude of the force P is
jeemain
eamcet
math
2013
q84
asked
Sep 17, 2013
by
meena.p
1
answer
A particle is projected from the ground with an initial speed of v at an angle of projection $\theta$. The average velocity of the particle between its time of projection and time it reaches highest point of trajectory is
jeemain
eamcet
physics
2013
q83
asked
Sep 17, 2013
by
meena.p
1
answer
The work done in moving an object from origin to a point whose positiion vector is $\overrightarrow {r}=3 \hat {i}+ 2 \hat j-5 \hat k$ by a force $\overrightarrow {F}=2 \hat {i}- \hat j- \hat k$ is :
jeemain
eamcet
physics
2013
q82
asked
Sep 17, 2013
by
meena.p
1
answer
If $E,M,J$ and $G$ respectively denote energy , mass, angular momentum and universal gravitational constant, the quantity, which has the same dimensions as the dimension of $\large\frac{EJ^2}{M^5G^2}$
jeemain
eamcet
physics
2013
q81
asked
Sep 17, 2013
by
meena.p
1
answer
The solution of the differential equation $\large\frac{dy}{dx}$$-2y \tan 2x =e^x\;sec 2x$ is :
jeemain
eamcet
math
2013
q80
asked
Sep 17, 2013
by
meena.p
1
answer
An integrating factor of the equation $(1+y+x^2y) dx +(x+x^3)dy=0$ is
jeemain
eamcet
math
2013
q79
asked
Sep 17, 2013
by
meena.p
1
answer
The approximate value of $ \int \limits_1^3 \large\frac{dx}{2+3x}$ using Simpson's Rule and dividing the interval $[1,3]$ into two equal parts is
jeemain
eamcet
math
2013
q78
asked
Sep 17, 2013
by
meena.p
1
answer
The area (in square units) bounded by the curves $x=-2y^2$ and $x=1-3y^2$ is
jeemain
eamcet
math
2013
q77
asked
Sep 17, 2013
by
meena.p
1
answer
If $\int \limits_0^b \large\frac{dx}{1+x^2}$$=\int \limits_b^{\infty} \large \frac{dx}{1+x^2},$ then $b=$
jeemain
eamcet
math
2013
q76
asked
Sep 17, 2013
by
meena.p
1
answer
$\int \large\frac{dx}{x (\log x -2)(\log x-3)}$$=1+c=>1=$
jeemain
eamcet
math
2013
q75
asked
Sep 17, 2013
by
meena.p
1
answer
$\int \large \frac{x -\sin x}{1+ \cos x} $$ dx=x \tan \bigg(\large\frac{x}{2}\bigg)$$+p \log \bigg |\sec \bigg(\large\frac{x}{2}\bigg)\bigg |$$+c=>p=$
jeemain
eamcet
math
2013
q74
asked
Sep 17, 2013
by
meena.p
1
answer
$\int e^x \bigg(\large\frac{2+\sin 2x}{1+\cos 2x}\bigg)$$dx=$
jeemain
eamcet
math
2013
q73
asked
Sep 17, 2013
by
meena.p
1
answer
$u=\log(x^3+y^3+z^3-3xyz)=>(x+y+z)(u_x+u_y+u_z)=$
jeemain
eamcet
math
2013
q72
asked
Sep 17, 2013
by
meena.p
1
answer
The focal length of a mirror is given by $\large\frac{2}{f}=\frac{1}{v}-\frac{1}{u}.$ In finding the values of $u$ and $v$, the error are equal and equal to 'p'. Then, the relative error in f is
jeemain
eamcet
math
2013
q71
asked
Sep 17, 2013
by
meena.p
1
answer
If the curves $x^2+py^2=1$ and $qx^2+y^2=1$ are orthogonal to each other, then
jeemain
eamcet
math
2013
q70
asked
Sep 17, 2013
by
meena.p
1
answer
The relation between pressure $p$ and volume $v$ is given by $pv^{\large\frac{1}{4}}$=Constant. If the percentage decrease in volume is $\large\frac{1}{2}$, then the percentage increase in pressure is
jeemain
eamcet
math
2013
q69
asked
Sep 17, 2013
by
meena.p
1
answer
$\cos ^{-1} \bigg(\large\frac{y}{b} \bigg)$$=2 \log \bigg(\large\frac{x}{2}\bigg),$$ x > 0=>x^2 \large\frac{d^2y}{dx^2}$$+x \large\frac{dy}{dx}=$
jeemain
eamcet
math
2013
q68
asked
Sep 17, 2013
by
meena.p
1
answer
$\large\frac{d}{dx}$$ [(x+1)(x^2+1)(x^4+1)(x^8+1)]=(15x^p-16x^q+1)(x-1)^{-2}=>(p,q)=$
jeemain
eamcet
math
2013
q67
asked
Sep 17, 2013
by
meena.p
1
answer
$\sqrt {\large\frac{y}{x}}+\sqrt {\large\frac{x}{y}}$$=2=>\large\frac{dy}{dx}=$
jeemain
eamcet
math
2013
q66
asked
Sep 16, 2013
by
meena.p
1
answer
$\lim \limits_{x \to 0} \large\frac{\tan ^3 x -\sin ^3 x}{x^5}=$
jeemain
eamcet
math
2013
q64
asked
Sep 16, 2013
by
meena.p
1
answer
$f(x)=\large\frac{1}{1+\Large\frac{1}{x}};$$g(x)=\large\frac{1}{1+\Large\frac{1}{f(x)}}$$=>g'(2)=$
jeemain
eamcet
math
2013
q65
asked
Sep 16, 2013
by
meena.p
1
answer
Let $f$ be a non-zero real valued continuous function satisfying $f(x+y)=f(x).f(y)$ for all $x,y \in R.$ If $f(2)=9,$ then $f(6)=$
jeemain
eamcet
math
2013
q63
asked
Sep 16, 2013
by
meena.p
1
answer
A variable plane passes through a fixed point $(1,2,3)$. Then the foot of the perpendicular from the origin to the plane lies on
jeemain
eamcet
math
2013
q62
asked
Sep 16, 2013
by
meena.p
1
answer
A plane passing through $(-1,2,3)$ and whose normal makes equal angles with the coordinate axes is
jeemain
eamcet
math
2013
q61
asked
Sep 16, 2013
by
meena.p
1
answer
The direction ratio's of two lines $AB,AC$ are $1,-1,-1$ and $2,-1,1.$ The direction ratios of the normal to the plane $ABC$ are
jeemain
eamcet
math
2013
q60
asked
Sep 16, 2013
by
meena.p
1
answer
$D(2,1,0),E(2,0,0),F(0,1,0)$ are mid-points of the sides $BC,CA,AB$ of $\Delta ABC$ respectively. Then, the centroid of $\Delta ABC$ is
jeemain
eamcet
math
2013
q59
asked
Sep 16, 2013
by
meena.p
0
answers
The perpendicular distance from the point $(1,\pi)$ to the line joining $(1,0^{\circ})$ and $(1, \large\frac{\pi}{2}),$ (in polar coordinates) is
jeemain
eamcet
math
2013
q58
asked
Sep 16, 2013
by
meena.p
1
answer
If $x=9$ is a chord of contact of the hyperbola $x^2-y^2=9,$ then the equation of the tangent at one of the points of contact is
jeemain
eamcet
math
2013
q57
asked
Sep 16, 2013
by
meena.p
1
answer
If the foci of the ellipse $\large\frac{x^2}{25}+\frac{y^2}{16}=1$ and the hyperbola $\large\frac{x^2}{4}-\frac{y^2}{b^2}=1$ coincide, then $b^2=$
jeemain
eamcet
math
2013
q56
asked
Sep 16, 2013
by
meena.p
1
answer
The midpoint of a chord of the ellipse $x^2+4y^2-2x+20 y=0$ is $(2,-4)$. The equation of the chord is?
jeemain
eamcet
math
2013
q55
asked
Sep 16, 2013
by
meena.p
1
answer
A circle of radius 4, drawn on a chord of the parabola $y^2=8x$ as diameter, touches the axis of the parabola. Then the slope of the chord is
jeemain
eamcet
math
2013
q54
asked
Sep 16, 2013
by
meena.p
1
answer
If the circle $x^2+y^2+4x-6y+c=0$ bisects the circumference of the circle $x^2+y^2-6x+4y-12=0,$ then $c=$
jeemain
eamcet
math
2013
q53
asked
Sep 16, 2013
by
meena.p
1
answer
$(a,0)$ and $(b,0)$ are center of two circles belonging to a co-axial system of which y-axis is the radical axis. If radius of one of the circles is 'r', then the radius of the other circle is
jeemain
eamcet
math
2013
q52
asked
Sep 16, 2013
by
meena.p
1
answer
If the length of the tangent from $(h,k)$ to the circle $x^2+y^2=16$ is twice the length of the tangent from the same point to the circle $x^2+y^2+2x+2y=0,$ then
jeemain
eamcet
math
2013
q51
asked
Sep 16, 2013
by
meena.p
1
answer
For the given circle $C$ with the equation $x^2+y^2-16x -12y +64=0$ match the list -I with the list II given below:
jeemain
eamcet
math
2013
q50
asked
Sep 16, 2013
by
meena.p
1
answer
The circle $4x^2+4y^2-12 x-12y+9=0$
jeemain
eamcet
math
2013
q49
asked
Sep 16, 2013
by
meena.p
1
answer
If the equation $ax^2+2hxy+by^2+2gx+2fy+c=0$ represents a pair of straight lines, then the square of the distance of their point of intersection from the origin is
jeemain
eamcet
math
2013
q48
asked
Sep 16, 2013
by
meena.p
1
answer
The equation $x^2-5xy+py^2+3x-8y+2=0$ represents a pair of straight lines. If $\theta$ is the angle between them, then $\sin \theta=$
jeemain
eamcet
math
2013
q47
asked
Sep 16, 2013
by
meena.p
1
answer
The equation of the pair of lines passing through the origin whose sum and product of slopes are respectively the arithmetic mean geometric mean of 4 and 9 is
jeemain
eamcet
math
2013
q46
asked
Sep 16, 2013
by
meena.p
2
answers
If the points $(1,2)$ and $(3,4) $ lie on the same side of the straight line $ 3x-5y+a=0$ then a lies in the set
jeemain
eamcet
math
2013
q45
asked
Sep 16, 2013
by
meena.p
1
answer
If $2x+3y=5$ is the perpendicular bisector of the segment joining the points $A\bigg[1,\large\frac{1}{3}\bigg]$ and $B$ then $B=$
jeemain
eamcet
math
2013
q44
asked
Sep 16, 2013
by
meena.p
1
answer
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