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JEEMAIN and NEET
JEEMAIN and NEET
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JEEMAIN PAST PAPERS
Which equilibrium can be described as an acid-base reaction using Lewis acid-base definition but not using Bronsted and Lowry concept?
jeemain
aipmt
chemistry
equilibrium
medium
q33
biology
asked
Nov 23, 2013
by
mosymeow_1
1
answer
Which one of the following is a Bronsted acid but not a Bronsted base?
sat
chemistry
chemical-equilibrium
jeemain
aipmt
equilibrium
easy
q32
biology
asked
Nov 23, 2013
by
mosymeow_1
1
answer
When ammonia is added to pure water, the concentration of which of the following species already present, will decrease
jeemain
chemistry
aipmt
equilibrium
medium
q31
biology
asked
Nov 23, 2013
by
mosymeow_1
1
answer
Coeff. of $x^{50}$ in $(1+x)^{1000}$ + $x(1+x)^{999}$ + $x^2(1+x)^{998}$ + .... + $x^{1000}$ is
jeemain
math
class11
ch8
binomial-theorem
general-and-middle-terms
difficult
asked
Nov 23, 2013
by
rvidyagovindarajan_1
1
answer
A particle falls from a height 'h' upon a fixed horizontal plane and rebounds. If e is the coefficient of restitution, the total distance travelled before it stops rebounding is
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
momentum-conservation-and-collisions
easy
asked
Nov 23, 2013
by
meena.p
1
answer
In how many ways can a mixed doubles game in tennis can be arranged from 5 couples, if no husband and wife play in the same game?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
mock
asked
Nov 23, 2013
by
rvidyagovindarajan_1
1
answer
In an elastic collision between two bodies, during the time collision is taking place, which physical quantity is conserved?
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
momentum-conservation-and-collisions
easy
asked
Nov 23, 2013
by
meena.p
1
answer
In an inelastic collision between two bodies, the physical quantity that is conserved
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
momentum-conservation-and-collisions
easy
asked
Nov 23, 2013
by
meena.p
1
answer
A body 'A' experiences perfectly elastic collision with a stationary body 'B'. If after collision the bodies fly apart in opposite directions with equal velocities , the mass ratio of 'A' and 'B' is
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
momentum-conservation-and-collisions
medium
asked
Nov 23, 2013
by
meena.p
1
answer
Two particles having position vectors $\overrightarrow {r_1}= (3 \hat i - 5 \hat j)m$ and $\overrightarrow {r_1}= (-5 \hat i +3 \hat j)m$ are moving with velocities $\overrightarrow {V_1}= (-4 \hat i +3 \hat j)m/s$ and $\overrightarrow {V_2}= (-a \hat i +7 \hat j)m/s$. If the collide after 2 seconds, the value of a is
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
momentum-conservation-and-collisions
medium
asked
Nov 23, 2013
by
meena.p
1
answer
A stationary body of mass 3 kg explodes into three equal pieces. Two of the pieces fly off at right angles to each other , one with velocity $2 \hat i \;m/s$ and the other with velocity $3 \hat j\; m/s$. If the explosion takes place in $10^{-5}s,$ the average force acting on the third piece in Newtons is
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
momentum-conservation-and-collisions
easy
asked
Nov 23, 2013
by
meena.p
1
answer
A body 'X' with momentum 'p' collides with another identical stationary body ' y ' one dimensionally. During collision ' y' gives an impulse ' J ' to the body 'x'. Then the coefficient of restitution is
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
momentum-conservation-and-collisions
medium
asked
Nov 22, 2013
by
meena.p
1
answer
If $\overrightarrow u,\overrightarrow v,\overrightarrow w$ are non coplanar vectors and $p,q$ are real numbers so that $[3\overrightarrow u\:p\overrightarrow v\:p\overrightarrow w]-[p\overrightarrow v\:p\overrightarrow w\:q\overrightarrow u]-[2\overrightarrow w\:q\overrightarrow v\:q\overrightarrow u]=0$ then number of values of $p,q$ is
jeemain
math
class12
ch13
vector-algebra
medium
q60
asked
Nov 22, 2013
by
rvidyagovindarajan_1
1
answer
If $A(\theta)=\begin{bmatrix}1&\tan\theta\\-\tan\theta&1\end{bmatrix}$ and $AB=I$ then $(\sec^2\theta)B$ is equal to
jeemain
math
class12
ch4
determinants
q25
adjoint-and-inverse
medium
asked
Nov 22, 2013
by
sreemathi.v
1
answer
In two separate collisions the coefficient the coefficient of restitution s $e_1$ and $e_2$ are in the ratio $3:1$ . In the first collision, the relative velocity of approach is twice the relative velocity of separation, then the ratio between the relative velocity of approach and relative velocity of separation in the second collision is
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
momentum-conservation-and-collisions
medium
asked
Nov 22, 2013
by
meena.p
1
answer
If $x,y,z$ are different from zero and $\Delta =\begin{vmatrix}a&b-y&c-z\\a-x&b&c-z\\a-x&b-y&c\end{vmatrix}=0$ then the value of the expression $\large\frac{a}{x}+\frac{b}{y}+\frac{c}{z}$ is
jeemain
math
class12
ch4
determinants
q24
system-of-linear-equations
medium
asked
Nov 22, 2013
by
sreemathi.v
1
answer
A sphere of mass m moving with constant velocity $V$ collide head on with another stationary sphere of same mass. If e is the coefficient of restitution then the ratio of the final velocities of the first and second sphere is
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
momentum-conservation-and-collisions
medium
asked
Nov 22, 2013
by
meena.p
1
answer
A sphere of mass m moving horizontally $V_0$ collides against a pendulum bob of mass m. If the two masses stick together after the collision then the maximum height attained is
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
momentum-conservation-and-collisions
medium
asked
Nov 22, 2013
by
meena.p
1
answer
Inverse of the matrix $\begin{bmatrix}\cos 2\theta&-\sin 2\theta\\\sin 2\theta&\cos 2\theta\end{bmatrix}$ is
jeemain
math
class12
ch4
determinants
q23
adjoint-and-inverse
medium
asked
Nov 22, 2013
by
sreemathi.v
1
answer
A bomb is projected vertically up with a velocity of $100 m/s.$ After $8\; s$ it blasted into two pieces of mass in the ratio $1:2$ . The lighter piece goes it with the velocity $40 \;m/s$ then what is the velocity of the heavier piece just after blasting?
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
momentum-conservation-and-collisions
medium
asked
Nov 22, 2013
by
meena.p
1
answer
A body of mass m moving with a constant velocity V hits another body of the same mass moving with velocity V but in the opposite direction and sticks to it. The velocity of the compound body after collision is
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
momentum-conservation-and-collisions
easy
asked
Nov 22, 2013
by
meena.p
1
answer
$53^{53} - 33^{33}$ is divisible by
jeemain
math
class11
ch8
binomial-theorem
properties-and-applications
medium
asked
Nov 22, 2013
by
rvidyagovindarajan_1
1
answer
The value of $\begin{vmatrix}x&p&q\\p&x&q\\p&q&x\end{vmatrix}$ is
jeemain
math
class12
ch3
matrices
q22
operations-on-matrices
medium
asked
Nov 22, 2013
by
sreemathi.v
1
answer
If $\begin{vmatrix}x^n&x^{n+2}&x^{n+3}\\y^n&y^{n+2}&y^{n+3}\\z^n&z^{n+2}&z^{n+3}\end{vmatrix}$ = $(y-z)(z-x)(x-y)(\large\frac{1}{x}+\frac{1}{y}+\frac{1}{z})$ then $n$ is equal to
jeemain
math
class12
ch4
determinants
q21
evaluate-determinants
medium
asked
Nov 22, 2013
by
sreemathi.v
1
answer
A rope thrown over a pulley has a ladder with a man of mass m on one of its ends and a counter balancing mass M on its other end. The man climbs with velocity $V_r$ relative to the ladder. Ignoring the masses of the pulley as well as the friction on the pulley axis, the velocity of the centre of mass of this system is
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
medium
asked
Nov 22, 2013
by
meena.p
1
answer
If $A=\begin{bmatrix}1&x\\x^2&4y\end{bmatrix}$ and $B=\begin{bmatrix}-3&1\\1&0\end{bmatrix}$ and adj$(A+B)=\begin{bmatrix}1 &0\\0&1\end{bmatrix}$ then values of $x$ and $y$ are
jeemain
math
class12
ch4
determinants
q20
adjoint-and-inverse
medium
asked
Nov 22, 2013
by
sreemathi.v
1
answer
A system of two blocks A and B and a wedge C are released from rest as shown in figure. Masses of the blocks and the wedge are $m,2m \;and \;2m$ respectively. The displacement of the wedge C when the block slides down the plane a distance 10 cm is (neglect friction)
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
medium
asked
Nov 22, 2013
by
meena.p
1
answer
If $A$ and $B$ are square matrices of the same order and $AB=3I$ then $A^{-1}$ is equal to
jeemain
math
class12
ch3
matrices
transpose-of-a-matrix
q19
medium
asked
Nov 22, 2013
by
sreemathi.v
1
answer
If $A$ and $B$ are square matrices of the same order such that $(A+B)(A-B)=A^2-B^2$ then $(ABA^{-1})^2$ is equal to
jeemain
math
class12
ch3
matrices
q18
equality-of-matrices
medium
asked
Nov 22, 2013
by
sreemathi.v
1
answer
Two particles of equal mass are projected from the ground with speed $v_1$ and $v_2$ at angles $\theta_1$ and $\theta_2$ as shown. The center of mass of the two particles
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
medium
asked
Nov 22, 2013
by
meena.p
1
answer
Mass is non- uniformly distributed on the circumference of a ring of radius a and centre at the origin. Let b be the distance of the centre of mass from the origin. Then
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
easy
asked
Nov 22, 2013
by
meena.p
1
answer
If the matrix $\begin{bmatrix}a&b\\c&d\end{bmatrix}$ is commutative with the matrix $\begin{bmatrix}1&1\\0&1\end{bmatrix}$ then
jeemain
math
class12
ch3
matrices
q17
operations-on-matrices
medium
asked
Nov 22, 2013
by
sreemathi.v
1
answer
If $C=2\cos \theta$ then the value of the determinant $\Delta=\begin{vmatrix}c&1&0\\1&c&1\\6&1&c\end{vmatrix}$ is
jeemain
math
class12
ch4
determinants
q16
evaluate-determinants
medium
asked
Nov 22, 2013
by
sreemathi.v
1
answer
A man of mass $80\; kg$ is riding on a small cart of mass $40\; kg$ moving with velocity $2m/s$ . He is running on the cart, so that his velocity relative to the cart is $3 m/s$ in the direction opposite to the motion of the cart. What is the speed of center of mass of the system.
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
medium
asked
Nov 22, 2013
by
meena.p
1
answer
If $A=\begin{bmatrix}1&-2\\4&5\end{bmatrix}$ and $f(1)=t^2-3t+7$ then $f(A)+\begin{bmatrix}3&6\\-12&-9\end{bmatrix}$ is equal to
jeemain
math
class12
ch3
matrices
q15
operations-on-matrices
medium
asked
Nov 22, 2013
by
sreemathi.v
1
answer
Two blocks of masses $m_1=2 kg$ and $ m_2=4kg$ are moving in the same direction with speeds $V_1=6 m/s$ and $V_2=3 m/s$, respectively on a frictional less surface. An ideal spring with spring constant $k= 30000\;n/m$ is attached to the bakside of $m_2.$ Then the maxiimum compression of the spring after collision will be
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
medium
asked
Nov 22, 2013
by
meena.p
1
answer
If $A=\begin{bmatrix}1&2&2\\2&1&2\\2&2&1\end{bmatrix}$ then $A^2-4A$ is equal to
jeemain
math
class12
ch3
matrices
q14
transpose-of-a-matrix
medium
asked
Nov 22, 2013
by
sreemathi.v
1
answer
If one root of the determinant $\begin{vmatrix}x&3&7\\2&x&2\\7&6&x\end{vmatrix}=0$ is $-9$ then the other two roots are
jeemain
math
class12
ch4
determinants
q13
evaluate-determinants
medium
asked
Nov 22, 2013
by
sreemathi.v
1
answer
Tow blocks $m_1$ and $m_2$ are placed on a smooth horizontal surface and are joined together with a spring of stiffness k. Suddenly, block $m_2$ receives a horizontal velocity $v_0$, then the maximum extension $x$ in the spring is
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
medium
asked
Nov 22, 2013
by
meena.p
1
answer
If $\small\begin{vmatrix}a^2&b^2&c^2\\(a+1)^2&(b+1)^2&(c+1)^2\\(a-1)^2&(b-1)^2&(c-1)^2\end{vmatrix}$ = $k\small\begin{vmatrix}a^2&b^2&c^2\\a&b&c\\1&1&1&\end{vmatrix}$ then the value of $k$ is
jeemain
math
class12
ch3
matrices
q12
elementary-operation-(transformation)-of-a-matrix
medium
asked
Nov 22, 2013
by
sreemathi.v
1
answer
Let $a,b,c$ be any real numbers. Suppose that there are real numbers $x,y,z$ not all zero. Such that $x=cy+bz,y=az+cx,z=bx+ay$. Then $a^2+b^2+2abc$ is equal to
jeemain
math
class12
ch4
determinants
q11
system-of-linear-equations
medium
asked
Nov 22, 2013
by
sreemathi.v
1
answer
If the matrix $A=\begin{bmatrix}y+a&b&c\\a&y+b&c\\a&b&y+c\end{bmatrix}$ has rank 3 then
jeemain
math
ch3
class12
matrices
q10
basics-(order-and-elements)
medium
asked
Nov 22, 2013
by
sreemathi.v
1
answer
If $\begin{bmatrix}2&1\\3&2\end{bmatrix}A\begin{bmatrix}-3&2\\5&-3\end{bmatrix}=\begin{bmatrix}1&0\\0&1\end{bmatrix}$ then the matrix A is equal to
jeemain
math
class12
ch3
matrices
q9
operations-on-matrices
medium
asked
Nov 22, 2013
by
sreemathi.v
1
answer
If $a_1,a_2,a_3.....a_n$ are in G.P then the determinant $\Delta=\begin{vmatrix}\log a_n&\log a_{n+1}& \log a_{n+2}\\\log a_{n+3}&\log a_{n+4}&\log a_{n+5}\\\log a_{n+6}&\log a_{n+7}&\log a_{n+8}\end{vmatrix}$ is equal to
jeemain
math
class12
ch3
determinants
q8
evaluate-determinants
medium
asked
Nov 22, 2013
by
sreemathi.v
1
answer
If $a^2+b^2+c^2=-2$ and $f(x)=\small\begin{vmatrix}1+a^2x&(1+b^2)x&(1+c^2)x\\(1+a^2)x&1+b^2x&(1+c^2)x\\(1+a^2)x&(1+b^2)x&1+c^2x\end{vmatrix}$ then $f(x)$ is a polynomial of degree
jeemain
math
class12
ch4
determinants
q7
system-of-linear-equations
medium
asked
Nov 22, 2013
by
sreemathi.v
1
answer
The system of equations $\alpha x+y+z=\alpha-1$, $x+\alpha y+z=\alpha-1$, $x+y+\alpha z=\alpha-1$ has infinite solutions if $\alpha$ is
jeemain
math
class12
ch4
determinants
q6
system-of-linear-equations
medium
asked
Nov 22, 2013
by
sreemathi.v
1
answer
$A=\begin{bmatrix}1&0&0\\0&1&1\\0&-2&4\end{bmatrix}$ and $I=\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\end{bmatrix}$ and $A^{-1}=[\large\frac{1}{6}$$(A^2+cA+dI)]$ then the value of $c$ and $d$ are
jeemain
math
class12
ch3
determinants
q5
adjoint-and-inverse
medium
asked
Nov 22, 2013
by
sreemathi.v
1
answer
The parameter on which the value of the determinant $\begin{vmatrix}1&x&x+1\\\cos(p-d)x&\cos px&\cos(p+d)x\\\sin(p-d)x&\sin px&\sin(P+d)x\end{vmatrix}$ does not defined upon is
jeemain
math
class12
ch4
determinants
q4
evaluate-determinants
medium
asked
Nov 22, 2013
by
sreemathi.v
1
answer
The momentum of a moving particle is vectorially given as $\overrightarrow{p}=p_0(\cos t \hat {i}+\sin t \hat {j}).$ Where t stands for time.
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
medium
asked
Nov 22, 2013
by
meena.p
1
answer
Two blocks of masses $6\; kg$ and $4\;kg$ are attached to the two ends of a massless string passing over a smooth fixed pulley. If the system is released, the acceleration of the centre of mass of the system will be ;
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
medium
asked
Nov 22, 2013
by
meena.p
1
answer
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