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JEEMAIN-2015
A train is moving on a straight track with speed $20ms^{-1}$. It is blowing its Whistle at the frequency of 1000 Hz. The percentage change in the frequency heard by a person standing near the track as the train passes him is (speed of sound =$320\;ms^{-1})$ close to :
jeemain
2015
physics
set a
asked
Oct 12, 2015
by
meena.p
1
answer
For a simple pendulum, a graph is plotted between its kinetic energy (KE) and potential energy (PE) against its displacement d. Which one of the following represents these correctly?
jeemain
2015
physics
set a
asked
Oct 12, 2015
by
meena.p
1
answer
Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion , the average time of collision between molecules increases as $V^q$, where V is the volume of the gas. The value of q is : $\bigg[\gamma =\large\frac{C_p}{C_v}\bigg]$
jeemain
2015
physics
set a
asked
Oct 12, 2015
by
meena.p
1
answer
A solid body of constant heat capacity $1 L/^{\circ}C$ is being heated by keeping it in contact with reservoirs in two ways : (i) Sequentially keeping in contact with 2 reservoirs such that each reservoir supplies same amount of heat . (ii) Sequentially keeping in contact with 8 reservoirs such that each reservoir supplies same amount of heat . In both the cases body is brought from initial temperature $100^{\circ}$ to final temperaure $200 ^{\circ}$ Entropy change of the body in the two cases respectively is :
jeemain
2015
physics
set a
asked
Oct 12, 2015
by
meena.p
1
answer
Consider a spherical shell of radius R at temperature T. The black body radiation inside it can be considered as an ideal gas of photons with internal energy per unit volume $u= \large\frac{U}{V}$$ \infty T^4$ and pressure $p= \large\frac{1}{3}\bigg( \frac{U}{V}\bigg)$. If the shell now undergoes an adiabatic expansion the relation between T and R is :
jeemain
2015
physics
set a
asked
Oct 8, 2015
by
meena.p
1
answer
A pendulum made of a uniform wire of cross sectional area A has time period T.When an addition mass M is added to its bob, the time period change to $T_M$. If the young's modulus of material of the wire is Y then $\large\frac{1}{Y}$ is equal to:
jeemain
2015
physics
set a
asked
Oct 8, 2015
by
meena.p
1
answer
From a solid sphere of mass M and radius R, a spherical portion of radius $\large\frac{R}{2}$ is removed , as shown in fig. Taking gravitational potential $V=0$ at $ r= \infty$ , the potential at the center of the cavity thus formed is
jeemain
2015
physics
set a
asked
Oct 8, 2015
by
meena.p
1
answer
From a solid sphere of mass M and radius R a cube of maximum possible volume is cut. Moment of inertia of cube about an axis passing through its center and perpendicular to one of its faces is :
jeemain
2015
physics
set a
asked
Oct 8, 2015
by
meena.p
1
answer
Distance of the center of mass of a solid uniform cone from its vertex is $z_0$ . If the radius of its base is R and its height is h then $ z_0$ is equal to :
jeemain
2015
physics
set a
asked
Oct 8, 2015
by
meena.p
1
answer
A particle of mass m moving in the x direction with speed 2v is hit by another particle of mass 2m moving in the y direction with speed v. If the collision is perfectly inelastic , the percentage loss in the energy during the collision is close to :
jeemain
2015
physics
set a
asked
Oct 8, 2015
by
meena.p
1
answer
Given in the figure are two blocks A and B of weight 20 N and 100 N , respectively . These are being pressed against a wall by a force as shown in fig. If the coefficient of friction between the blocks is $0.1$ and between block B and the wall is $0.15$ , the frictional force applied by the wall on block B is
jeemain
2015
physics
set a
asked
Oct 8, 2015
by
meena.p
1
answer
The period of oscillation of a simple pendulum is $ T= 2 \pi \sqrt {\large\frac{L}{g}}$ Measured value of L is $20.0\;cm$ known to 1mm accuracy and time for 100 oscillation of the pendulum is found to be 90 s using a wrist watch of 1s resolution. The accuracy in the determination of g is :
jeemain
2015
physics
set a
asked
Oct 8, 2015
by
meena.p
1
answer
Two stones are thrown up simultaneously from the edge of a cliff $240\;m$ high with initial speed of $10 m/s$ and $40 m/s$ respectively. Which of the following graph best represents the time variation of relative position of the second stone with respect to the first ? (Assume stones do not rebound after hitting the ground and neglect air resistance , take $g= 10 m/s^2$) (The figures are schematic and not drawn to scale )
jeemain
2015
physics
set a
asked
Oct 8, 2015
by
meena.p
1
answer
Consider the following statement : P: Suman is brilliant Q: Suman is rich R: Suman is honest . The negation of the statement , "Suman is brilliant and dishonest if and only if Suman is rich" can be equivalently expressed as :
jeemain
2015
maths
set f
asked
Oct 8, 2015
by
meena.p
1
answer
Let $10$ vertical poles standing at equal distance on a straight line, subtend the same angle of elevation $\alpha$ at a point O on this line and all the poles are on the same side of O. If the height of the longest pole is 'h' and the distance of the foot of the smallest pole from O is 'a'; then the distance between two consecutive poles, is :
jeemain
2015
maths
set f
asked
Oct 8, 2015
by
meena.p
1
answer
If $\cos \alpha+ \cos \beta= \large\frac{3}{2}$ and $\sin \alpha +\sin \beta=\frac{1}{2}$ and $\theta$ is the airthmetic mean of $\alpha$ and $\beta$ then $\sin 2 \theta+ \cos 2 \theta$ is equal to :
jeemain
2015
maths
set f
asked
Oct 8, 2015
by
meena.p
1
answer
If the mean and the variance of a binomial variate X are 2 and 1 respectively, then the probability that X takes a values greater than or equal to one is :
jeemain
2015
maths
set f
asked
Oct 8, 2015
by
meena.p
1
answer
If the length of the sides of a triangle are decided by the three throws of a single fair die, then the probability that the triangle is of maximum are given that it is an isosceles triangle , is :
jeemain
2015
maths
set f
asked
Oct 8, 2015
by
meena.p
1
answer
In a parallelogram $ABCD, |\overrightarrow{AB}|=a;|\overrightarrow{AD}|=b $ and $|\overrightarrow{AC}|=c$, then $\overrightarrow{DB}.\overrightarrow{AB}$ has the value :
jeemain
2015
maths
set f
asked
Oct 8, 2015
by
meena.p
1
answer
A plane containing the point $(3,2,0)$ and the line $ \large\frac{x-1}{1} =\frac{y-2}{5} =\frac{z-3}{4}$ also contains the point :
jeemain
2015
maths
set f
asked
Oct 8, 2015
by
meena.p
1
answer
The shortest distance between the z- axis and the line $x+y+2z-3=0=2x+3y+4z-4$ is
jeemain
2015
maths
set f
asked
Oct 8, 2015
by
meena.p
1
answer
Let $PQ$ be a double ordinate of the parabola, $y^2=-4x$ , Where $P$ lies in the second quadrant . If R divides PQ in the ratio $2:1$ then the locus of R is :
jeemain
2015
maths
set f
asked
Oct 8, 2015
by
meena.p
1
answer
If the distance between the foci of an ellipse is half the length of its latus recturn , then the eccentricity of the ellipse is :
jeemain
2015
maths
set f
asked
Oct 8, 2015
by
meena.p
1
answer
If a circle passing through the point $(-1,0)$ touches y-axis at $(0,2)$ then the length of the chord of the circle along the x- axis is :
jeemain
2015
maths
set f
asked
Oct 8, 2015
by
meena.p
1
answer
If the incentre of an equilateral triangle is $(1,1)$ and the equation of its one side is $3x+4y+3=0$, then the equation of the circumcircle of this triangle is :
jeemain
2015
maths
set f
asked
Oct 8, 2015
by
meena.p
1
answer
A straight line L through the point $(3,-1)$ is inclined at an angle of $60^{\circ}$ to the line $\sqrt 3 x+y=1$ . If L also intersects the x- axis then the equation of L is :
jeemain
2015
maths
set f
asked
Oct 8, 2015
by
meena.p
1
answer
The solution of the differential equation $ydx-(x+2y^2)dy=0$ is $x=f(0)$. If $f(-1)=1$ then $f(1)$ is equal to
jeemain
2015
maths
set f
asked
Oct 7, 2015
by
meena.p
1
answer
Let $f:(-1,1) \to R$ be a continuous function . If $\int\limits_0^{\sin x }f(t)dt =\large\frac{\sqrt 3}{2}$$x$ , then $f\bigg(\large\frac{\sqrt 3}{2} \bigg)$ is equal to
jeemain
2015
maths
set f
asked
Oct 7, 2015
by
meena.p
1
answer
Let $f: R \to R $ be a function such that $f(2-x)=f(2+x) $ and $f(4-x)=f(4+x) ,$ for all $x \in R$ and $\int \limits_0^2 f(x) dx =5$ Then the values of $\int \limits_{10}^{50} f(x) dx$ is
jeemain
2015
maths
set f
asked
Oct 7, 2015
by
meena.p
1
answer
If $\int \large\frac{\log(t+\sqrt{1+t^2})}{\sqrt {1+t^2}}$$dt= \large\frac{1}{2}$$(g(t))^2+C$, Where C is a constant , then $g(2)$ is equal to :
jeemain
2015
maths
set f
asked
Oct 7, 2015
by
meena.p
1
answer
From the top of a 64 meters high tower , a stone is thrown upwards vertically with the velocity of $48\;m/s$ The greatest height (in meters) attained by the stone, assuming the value of the gravitational acceleration $ g= 32\;m/s^2$ is :
jeemain
2015
maths
set f
asked
Oct 7, 2015
by
meena.p
1
answer
Let k and K be the minimum and the maximum values of the function $f(x)= \large\frac{(1+x)^{0.6}}{1+x^{0.6}}$ in $[0,1]$ respectively , then the ordered pair $(k,K)$ is equal to :
jeemain
2015
maths
set f
asked
Oct 7, 2015
by
meena.p
1
answer
The equation of a normal to the curve , $\sin y = x \sin \bigg( \large\frac{\pi}{3}+y\bigg)$ at $x=0$ is
jeemain
2015
maths
set f
asked
Oct 7, 2015
by
meena.p
1
answer
Let k be a non-zero real number . If $f(x) = \left\{ \begin{array} {1 1} \large\frac{ (e^x-1)^2 }{\sin(x/k) log(1+x/4)}, & \quad x \neq 0 \\ 12 ,& \quad x=0\\ \end{array} \right. $ is a continuous function, then the value of k is
jeemain
2015
maths
set f
asked
Oct 7, 2015
by
meena.p
1
answer
If $ \sum^5_{n=1} \large\frac{1}{n(n+1)(n+2)(n+3)}=\frac{k}{3}$, then $k$ to equal to :
jeemain
2015
maths
set f
asked
Oct 7, 2015
by
meena.p
1
answer
The Sum of the 3rd and the 4th terms of a G.P is 60 and the product of its first three terms is 1000. If the first term of this G.P is positive , then its 7th term is :
jeemain
2015
maths
set f
asked
Oct 6, 2015
by
meena.p
1
answer
The term independent of x in the binomial expansion of $ \bigg( 1- \large\frac{1}{x}$$+3x^5\bigg) \bigg(2x^2-\large\frac{1}{x}\bigg)^8$ is
jeemain
2015
maths
set f
asked
Oct 6, 2015
by
meena.p
1
answer
If in a regular polygon the number of diagonals is $54$ , then the number of sides of this polygon is :
jeemain
2015
maths
set f
asked
Oct 6, 2015
by
meena.p
1
answer
If $\begin{vmatrix} x^2+x & x+1 & x-2 \\2x^2+3x-1 & 3x & 3x-3 \\ x^2+2x+3 & 2x-1 & 2x-1 \end{vmatrix}=ax-12$ then 'a' is equal to :
jeemain
2015
maths
set f
asked
Oct 6, 2015
by
meena.p
1
answer
If A is a $3 \times 3 $ matrix such that $|5.adj A|=5,$ then $|A|$ is equal to :
jeemain
2015
maths
set f
asked
Oct 6, 2015
by
meena.p
1
answer
If the two roots of the equation, $(a-1)(x^4+x^2+1)+(a+1)(x^2+x+1)^2=0$ are real and distinct , then the set of all values of 'a' is :
jeemain
2015
maths
set f
asked
Oct 6, 2015
by
meena.p
1
answer
If z is a non-real complex number, then the minimum value of $ \large\frac{I_mz^5}{(I_mz)^5}$ is :
jeemain
2015
maths
set f
asked
Oct 6, 2015
by
meena.p
1
answer
Let $A=\{x_1,x_2....,x_7\}$ and $B= \{y_1,y_2,y_3\}$ be two sets contains seven and three distinct elements respectively. Then the total number of function $f:A \to B$ that are onto , if there exist exactly three elements x in A Such that $f(x)=y_2$ , is equal to :
jeemain
2015
maths
set f
asked
Oct 6, 2015
by
meena.p
1
answer
A pink coloured salt turns begin on heating . The presence of which cation is most likely ?
jeemain
2015
chemistry
set f
asked
Oct 6, 2015
by
meena.p
1
answer
Which artificial sweetener contains chlorine ?
jeemain
2015
chemistry
set f
asked
Oct 6, 2015
by
meena.p
1
answer
Accumulation of which of the following molecules in the muscles occurs as a result of vigorous exercise ?
jeemain
2015
chemistry
set f
asked
Oct 6, 2015
by
meena.p
1
answer
Which one of the following structure represents the neoprene ?
jeemain
2015
chemistry
set f
asked
Oct 6, 2015
by
meena.p
1
answer
Which compound exhibits maximum dipole moment among the following ?
jeemain
2015
chemistry
set f
asked
Oct 6, 2015
by
meena.p
1
answer
In the reaction sequence
jeemain
2015
chemistry
set f
asked
Oct 6, 2015
by
meena.p
1
answer
What is the major product expected from the following reaction ? Where $D$ is an isotope of Hydrogen ?
jeemain
2015
chemistry
set f
asked
Oct 6, 2015
by
meena.p
1
answer
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