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JEEMAIN and NEET
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JEEMAIN PAST PAPERS
Two particles A and B are in motion . if the wavelength associated with particle A is $5\times10^{-8}$m.Calculate the wavelength associated with particle B if its momentum is half of A.
jeemain
chemistry
physical-chemistry
class11
unit2
atomic-structure
quantum-mechanical-model
easy
q164
asked
Feb 5, 2014
by
sharmaaparna1
1
answer
e(ecentricity)=__________ for parabola.
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q37
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the equation of straight line which passes through the intersection of the lines $3x-4y+1=0$ and $5x+y-1=0$ and $(2,1)$?
jeemain
math
class11
coordinate-geometry
straight-lines
equations-of-a-line
ch10
q36
difficult
asked
Feb 5, 2014
by
sreemathi.v
1
answer
A charge Q is placed at each of the two opposite corners of a square . A charge q is placed at each of the other two corners . If the resultant force on each charge q is zero , then
jeemain
physics
class12
ch1
electrostatics
electric-charges-and-fields
force-between-multiple-charges
medium
asked
Feb 5, 2014
by
yamini.v
1
answer
The general solution of the differential equation $\large\frac{dy}{dx}=\frac{1-x}{y}$ is a family of curves which looks most like which of the following?
jeemain
math
class12
ch9
differential-equations
ordinary-differential-equations
q44
difficult
asked
Feb 5, 2014
by
meena.p
1
answer
Find the area of rhombus formed by the lines $x\pm y\pm 1=0$?
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q35
difficult
asked
Feb 5, 2014
by
sreemathi.v
2
answers
Find the separate equations of the lines represented by the equation $x^2-6xy+8y^2=0$?
jeemain
math
class11
coordinate-geometry
straight-lines
equations-of-a-line
ch10
q34
difficult
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Four charges q , -q , q , -q are placed in order on the four consecutive corners of a square of side a . The work done in interchanging the positions of any two neighbouring charges of the opposite sign is
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential-energy-of-a-system-of-charges
medium
asked
Feb 5, 2014
by
yamini.v
1
answer
General solution of differential equation $\large\frac{dy}{dx}=\frac{x}{2a}$
jeemain
math
class12
ch9
differential-equations
ordinary-differential-equations
q43
difficult
asked
Feb 5, 2014
by
meena.p
1
answer
The electric field in a region is given by $\;\overrightarrow{E}=\large\frac{\in_{0} x \hat{i}}{l}\;.$ Find the charge contained inside a cubical volume bounded by the surfaces $\;x=0 , x=a , y=0 , y=a , z=0 , z=a $ where $a= 10^{-2} m$ and $l= 2 \times 10^{-2}\; m$
jeemain
physics
class12
unit11
electrostatics
medium
asked
Feb 5, 2014
by
yamini.v
1
answer
Find the image of the point $(2,2)$ with respect to the line $x+y+2=0$.
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q33
medium
asked
Feb 5, 2014
by
sreemathi.v
1
answer
The general solution of the given below differential equation is a family of curve where $4a$ is length of the latus rectum which looks $y \large\frac{dy}{dx}$$=2a$
jeemain
math
class12
ch9
differential-equations
ordinary-differential-equations
q42
difficult
asked
Feb 5, 2014
by
meena.p
1
answer
Find the coordinates of foot of the perpendicular drawn from the point (2,3) to the line $x+y+1=0$.
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q32
difficult
asked
Feb 5, 2014
by
sreemathi.v
1
answer
A point charge Q is located on the axis of a disc is radius R at a distance b from the plane of the disc . Find the electric flux through the disc if R= $\;\sqrt{3}\;b$
jeemain
physics
class12
ch1
electrostatics
electric-charges-and-fields
electric-flux-and-dipole
medium
asked
Feb 5, 2014
by
yamini.v
1
answer
Find the orthocentre of $\Delta ABC$ whose vertices are $A(0,1),B(-1,0),C(1,0)$.
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q31
difficult
asked
Feb 5, 2014
by
sreemathi.v
1
answer
The electrical potential existing in space is $\;V\;(x , y, z) = A\;(xy+yz+zx)\;$ . Find the expression for the electric field
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential
medium
asked
Feb 5, 2014
by
yamini.v
1
answer
The extremities of the diagonal of a square are (1,1) & (-1,-1).Obtain two vertices and equation of diagonal.
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q30
difficult
asked
Feb 5, 2014
by
sreemathi.v
1
answer
A particle with kinetic energy $\;10\;MeV\;$ and charge $\;4e\;$ is heading towards a stationary nucleus of atomic number 100 . Calculate the distance of closest approach ?
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential-energy-of-a-system-of-charges
medium
asked
Feb 4, 2014
by
yamini.v
1
answer
A charged particle of mass $\;m= 1 kg\;$ and charge $\;q=2\;\mu C\;$ is thrown from a horizontal ground at an angle $\;\theta=45^{0}\;$ with speed $\;20\;m/s\;.$ In space a horizontal electric field $E=2\times10^{6}\;V/m\;$ exist Find the range on horizontal ground of the projectile
jeemain
physics
class12
ch1
electrostatics
electric-charges-and-fields
electric-field
difficult
asked
Feb 4, 2014
by
yamini.v
1
answer
The differential equation for the family of curves $x^2+y^2-2ay=0$ where a is an arbitary constant is given $y'= \large\frac{dy}{dx}$
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q41
easy
asked
Feb 4, 2014
by
meena.p
1
answer
General solution of differential equation: $r \sin \theta\; d\theta +(r^3 -2 r^2 \cos \theta +\cos \theta)dr=0$
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
q40
difficult
asked
Feb 4, 2014
by
meena.p
1
answer
General solution of differential equation: $\large\frac{dy}{dx}$$=xe^{y-x^2}$
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q39
easy
asked
Feb 4, 2014
by
meena.p
1
answer
General solution of differential equation: $(x+1) \large\frac{dy}{dx}$$-y = (x+1)^2$
jeemain
math
class12
ch9
differential-equations
linear-differential-equations
q38
easy
asked
Feb 4, 2014
by
meena.p
1
answer
General solution of equations : $\large\frac{dy}{dx}$$+py=0$
jeemain
math
class12
ch9
differential-equations
ordinary-differential-equations
q37
easy
asked
Feb 4, 2014
by
meena.p
1
answer
Calculate the wavelength of a helium atom whose speed is equal to root mean square speed at 293 K $(rms = \sqrt{3RT/m})$
sat
chemistry
atomic-structure
jeemain
physical-chemistry
class11
unit2
quantum-mechanical-model
medium
q163
asked
Feb 4, 2014
by
sharmaaparna1
1
answer
Find the equation of a straight line on which the perpendicular from the origin makes an angle of $45^{\large\circ}$ with x-axis and which forms a triangle of area 18 sq.units with the coordinate axes
jeemain
math
class11
coordinate-geometry
straight-lines
equations-of-a-line
ch10
q29
difficult
asked
Feb 4, 2014
by
sreemathi.v
1
answer
General solution of differential equation: $\large\frac{dy}{dx}=\frac{y+x-2}{y-x-4}$
jeemain
math
class12
ch9
differential-equations
homogeneous-differential-equations
q36
difficult
asked
Feb 4, 2014
by
meena.p
1
answer
The wavelength of $\beta$ line of the Balmer Series is $4815 A^{\large\circ}$. What is the wavelength of $\alpha$ line of balmer Series of the same atom?
jeemain
chemistry
physical-chemistry
class11
unit2
atomic-structure
quantum-mechanical-model
medium
q162
asked
Feb 4, 2014
by
sharmaaparna1
1
answer
Find acute as well as obtuse angular bisectors of the lines $x+3y+1=0$ & $2x+5y+2=0$.
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q28
difficult
asked
Feb 4, 2014
by
sreemathi.v
1
answer
Solution of differential equation : $y(2xy+e^x)dx=e^xdy$
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q35
medium
asked
Feb 4, 2014
by
meena.p
1
answer
AIR services on vividh Bharti is transmitted on 219m band.What is its transmission frequency in Hertz.
jeemain
chemistry
physical-chemistry
class11
unit2
atomic-structure
quantum-mechanical-model
easy
q161
asked
Feb 4, 2014
by
sharmaaparna1
1
answer
A charge q is distributed uniformly on the surface of a sphere of radius R . It is covered by a concentric hollow conducting sphere of radius 2R . Find the charges on the outer surface of hollow sphere if it is earthed
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential
medium
asked
Feb 4, 2014
by
yamini.v
1
answer
General solution of differential equation: $\large\frac{dy}{dx} =\frac{2x+3y+6}{4x+6y+7}$
jeemain
math
class12
ch9
differential-equations
homogeneous-differential-equations
q34
easy
asked
Feb 4, 2014
by
meena.p
1
answer
A certain laser transition emits $6.37\times10^{15}$ quants per second per square meter. Calculate the power out put in joule per square metre per second. Given $\lambda$ = 632.8 nm.
jeemain
chemistry
physical-chemistry
class11
unit2
atomic-structure
quantum-mechanical-model
medium
q160
asked
Feb 4, 2014
by
sharmaaparna1
1
answer
A vertex of an equilateral triangle is (1,1) and the opposite side is $x+y+1=0$.Find the equations of other sides?
jeemain
math
class11
coordinate-geometry
straight-lines
equations-of-a-line
ch10
q27
difficult
asked
Feb 4, 2014
by
sreemathi.v
1
answer
A photon of 300nm is absorbed by a gas and then re-emits two photons. One re-emitted photon has wavelength 496nm. Calculate energy of other photon re-emitted out.
jeemain
chemistry
physical-chemistry
class11
unit2
atomic-structure
quantum-mechanical-model
easy
q159
asked
Feb 4, 2014
by
sharmaaparna1
1
answer
Solution of differential equation : $\large\frac{dx}{dy}=\frac{y+x-2}{y+x+4}$
jeemain
math
class12
ch9
differential-equations
ordinary-differential-equations
q33
easy
asked
Feb 4, 2014
by
meena.p
1
answer
If p is the length of the perpendicular from the origin to the line $\large\frac{x}{a}+\frac{y}{6}$$=1$ then $\large\frac{1}{a^2}+\frac{1}{b^2}$=?
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q26
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
Find the joint equation of lines $x+y+1=0$ & $x+y-1=0$
jeemain
math
class11
coordinate-geometry
straight-lines
equations-of-a-line
ch10
q25
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
Find a point such that it divides the line joining the points A(1,1) & B(3,3) in 2 : 3 ratio?
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q24
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
General solution of differential equation: $\large\frac{dy}{dx}$$+x \sin 2y=x^3 \cos ^2 y$
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
q32
medium
asked
Feb 4, 2014
by
meena.p
1
answer
If $ax+y-1=0$ ,$x+ay=0,x+y+a=0$ are concurrent then the value of $a^3-1$ is
jeemain
math
class11
coordinate-geometry
straight-lines
equations-of-a-line
ch10
q23
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
If the points (1,1) and (3,5) were to be on the opposite side of the line $3x-5y+a=0$.Find the value of a?
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q22
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
General solution of differential equation: $x \large\frac{dy}{dx}$$+y=x^3 y^6$
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
q31
medium
asked
Feb 4, 2014
by
meena.p
1
answer
Find the potential on the edge of a disc of charge density $\;\sigma$ and radius $R$
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatics-of-conductors
difficult
asked
Feb 4, 2014
by
yamini.v
1
answer
$A(1,2)$ & $B(7,6)$ are the two opposite points of straight line (i.e) these two points are on opposite side of a straight line then find a equation of straight line which is equidistant from these two points and also AB is perpendicular to the straight line.
jeemain
math
class11
coordinate-geometry
straight-lines
equations-of-a-line
ch10
q21
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
Find the vertices of the square if one of its vertices is (1,1) and the square passes through origin?
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q20
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
A disc having a uniform charge density $\;\sigma\;$ and radius $\;R\;$ is placed on $\;x-y\;$ plane with centre at the origin . Find the electric potential at a point on z - axis at a distance $\;10 m\;$ from centre . $\;\sigma=16\;\in_{0}\;,R=1 m$
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatics-of-conductors
medium
asked
Feb 4, 2014
by
yamini.v
1
answer
Find the equation of line parallel to $3x-4y+2=0$ and at a distance 2 from it?
jeemain
math
class11
coordinate-geometry
straight-lines
equations-of-a-line
ch10
q19
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
Find the equation of the line through (1,2) so that the segment of line intercepted between the axes is bisected at this point?
jeemain
math
class11
coordinate-geometry
straight-lines
equations-of-a-line
ch10
q18
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
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