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Recent questions tagged difficult
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The studens of a class take a test having 10 questions of true or false objective type questions. No two students answer are same. None of the students has got all the answers correct. How many students are there in the class.
jeemain
math
class11
ch7
permutations-and-combinations
fundamental- principle-of- counting
difficult
asked
Aug 9, 2013
by
rvidyagovindarajan_1
1
answer
A block rests on an inclined plane. A spring is attached is a pulley and is pulled downward gradually with increasing force. $\mu $ is the coefficient of friction between block and inclined plane . Find the potential energy of the spring at the momentum when block begins to move for a force constant k of spring $[\theta= 30^{\circ}]$
jeemain
physics
class11
unit4
work-power-energy
q85
difficult
asked
Aug 7, 2013
by
meena.p
1
answer
A uniform chain of length l and mass m is placed as shown . Find the gravitational potential of chain
jeemain
physics
class11
unit4
work-power-energy
q84
difficult
asked
Aug 7, 2013
by
meena.p
1
answer
The given graph shows the motion of a particle of mass $10/7\; kg$ the action of an external agency with power. Its initial position is $x=0$ and initial velocity is $1 m/s$ . velocity at $x=10 m$ is (use the graph)
jeemain
physics
class11
unit4
work-power-energy
q83
difficult
asked
Aug 7, 2013
by
meena.p
1
answer
A partical is projected along a horizontal field whose co-efficient of friction varies $\mu = \large\frac{A}{x^2}$ where x is a distance from origin in meters and A is a positive constant. The initial distance of particle is 1m from orgin and its velocity is radially outwards. The minumum initial velocity at this point so that the particle never stops is
jeemain
physics
class11
unit4
work-power-energy
q82
difficult
asked
Aug 7, 2013
by
meena.p
1
answer
A smooth narrow tube in the form of an arc AB of a circle of center O and radius r is fixed so that A is vertically above O and OB is horizontal. Particles P and Q of mass m and 2m respectively. with a light in extensible string connecting them (length $\large\frac{\pi\;r}{2}$) are placed inside the tube with P at A and Q at B. and released from rest. Assuming that the string remains during motion, find speed of particles when P reaches B
jeemain
physics
class11
unit4
work-power-energy
q77
difficult
asked
Aug 7, 2013
by
meena.p
1
answer
A block of mass $0.80 kg $ is attached to a cord passing through a hole in a horizontal frictionless surface. The block is originally revolving at a distance of $0.30 m$ from the hole with a speed of $0.80 m/s$ The cord is pulled from below the hole, shortening the radius of circle in which the block revolves to $0.10 m$. At this new distance the speed of block is $2.40 m/s$. How much work is done by person who pulled the cord?
jeemain
physics
class11
unit4
work-power-energy
q75
difficult
asked
Aug 7, 2013
by
meena.p
1
answer
If $p,q\in \{1,2,3,4\},$ then the number of equations of the form $px^2+qx+1=0$ having real roots is?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
difficult
asked
Aug 6, 2013
by
rvidyagovindarajan_1
1
answer
Two blocks A and B of mass m and 2m are connected by a massless spring of force constant k. They are placed on smooth horizontal plane . Spring is streched by an amount x and then released . the relative velocity of the blocks when the spring come its natural length is
jeemain
physics
class11
unit4
work-power-energy
58
difficult
asked
Aug 6, 2013
by
meena.p
1
answer
A block of $2 kg$ is hanging over a smooth string. The other end of the string is pulled by a constant force $F=40N$.The kinetic energy of the particle increases $40 \;J$ in a given interval of time. then $(g=10 m/s^2)$
jeemain
physics
class11
unit4
work-power-energy
q55
difficult
asked
Aug 5, 2013
by
meena.p
1
answer
A particle moves in a straight line with constant acceleration under constant force F. Select the correct alternatives.
jeemain
physics
class11
unit4
work-power-energy
q54
difficult
asked
Aug 5, 2013
by
meena.p
1
answer
System shown in figure is released from rest. Pulley and spring is massless and friction is absent everywhere. The speed of 5kg block when 2 kg block leaves the contact with the ground is $(k=40 N/m;g=10 m/s^2)$
jeemain
physics
class11
unit4
work-power-energy
q53
difficult
asked
Aug 5, 2013
by
meena.p
1
answer
A hole is drilled from the surface of earth to its center. A particle is dropped from rest at the surface of earth . The speed of the particle when it reaches the center of the earth in terms of escape velocity of the surface of earth $v_e$ is
jeemain
physics
class11
unit4
work-power-energy
q52
difficult
asked
Aug 5, 2013
by
meena.p
1
answer
A particle is released from top of two inclined rough surfaces of height 'h' each. The angle of inclination of two planes are $30^{\circ}$ and $60^{\circ}$ respectively. All other factor (eg. coefficient of friction, mass of block etc) are same in both cases. Let $k_1$ and $k_2$ be kinetic energies of the particle at the bottom of the plane in two cases. Then
jeemain
physics
class11
unit4
work-power-energy
q51
difficult
asked
Aug 5, 2013
by
meena.p
1
answer
If $z$ is a complex number having non zero imaginary part and $z^2+z+1=a$ where $a$ is real, then $a$ cannot take which of the following values?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
mock
quadratic-equations
difficult
asked
Aug 5, 2013
by
rvidyagovindarajan_1
1
answer
If $\cos\theta+2\cos\alpha+3\cos\beta=\sin\theta+2\sin\alpha+3\sin\beta=0$, then $\sin\;3\theta+8\sin\;3\alpha+27\sin\;3\beta=?$
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
difficult
asked
Aug 2, 2013
by
rvidyagovindarajan_1
1
answer
For any complex number $z$, the minimum value of $|z|+|z-1|=?$
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
representation-of-complex-numbers
difficult
asked
Aug 1, 2013
by
rvidyagovindarajan_1
1
answer
If $z_r=cos(\large\frac{\pi}{3^r})$$+isin(\large\frac{\pi}{3^r})$, where $r=1,2,3...........then \:\:z_1.z_2.z_3.....................\infty=?$
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
difficult
asked
Aug 1, 2013
by
rvidyagovindarajan_1
1
answer
If $\omega$ is cube root of $1$ and $\alpha,\beta,\gamma$ are cube roots of $p$ , then for any real numbers $x,y,z$the value of $\large\frac{x\alpha+y\beta+z\gamma}{x\beta+y\gamma+z\alpha}$ is ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
difficult
asked
Jul 28, 2013
by
rvidyagovindarajan_1
1
answer
A man throws the brick to a height of 12 m with a speed of 12 m/s. If he throws the brick in such a way that they just reach that height , what percentage of energy will be saved
jeemain
physics
class11
unit4
work-power-energy
q39
difficult
asked
Jul 20, 2013
by
meena.p
1
answer
Ice cube of size $100\;cm$ and area of base $(500 m \times 50 m)$ is floating in a tank partially filled with water. The change in gravitational potential energy, when ice melts completely (density of Ice is $900\;kg/m^3$)
jeemain
physics
class11
unit4
work-power-energy
q38
difficult
asked
Jul 19, 2013
by
meena.p
1
answer
A particle of mass m is projected with velocity u at an angle $\alpha$ with horizontal. During the period when particle decends from highest point to the position where its velocity vector makes $\alpha/2$ angle with horizontal, work done by gravity force is
jeemain
physics
class11
unit4
work-power-energy
q36
difficult
asked
Jul 19, 2013
by
meena.p
1
answer
A particle is given an initial speed u inside a smooth spherical shell of radius $R=1m$ that it is just able to complete the circle. Acceleration of the particle when its velocity is vertical is
jeemain
physics
class11
unit4
work-power-energy
q35
difficult
asked
Jul 19, 2013
by
meena.p
1
answer
Hail storms are observed to strike the surface of frozen lake at $30^{\circ }$ with the vertical and rebound at $60^{\circ}$ with vertical, Assume contact to be smooth, the coefficient of restitution,
jeemain
physics
class11
unit4
work-power-energy
q30
difficult
asked
Jul 19, 2013
by
meena.p
1
answer
A fire hose has a diameter of 2.5 cm and is required to direct jet of water to height of at least 40 m. The minimum power of pump needed is
jeemain
physics
class11
unit4
work-power-energy
q29
difficult
asked
Jul 18, 2013
by
meena.p
1
answer
If $\alpha,\beta $ are real and $z$ is complex number and $z^2+\alpha z +\beta=0$ has two distinct roots on the line $R_e z=1,$ then the values of $\beta$=?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
difficult
asked
Jul 18, 2013
by
rvidyagovindarajan_1
1
answer
Two blocks are resting on a floor as shown. There is no friction between floor and lower block (M=3 kg) but frictional coefficient between both blocks is 0.2. Both blocks move together with initial speed V towards the spring ,compresses it and due to force exerted by spring moves in reverse direction of initial motion. What is maximum value of V in (m/s), so that during motion there is no slipping between the blocks.
jeemain
physics
class11
unit4
work-power-energy
q28
difficult
asked
Jul 18, 2013
by
meena.p
1
answer
If the complex numbers $sinx+icos2x$ and $cosx-isin2x$ are conjugate to each other, then $x=?$
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
difficult
asked
Jul 15, 2013
by
rvidyagovindarajan_1
1
answer
If $\omega$ is the cube root of unity then the value of $\large\frac{a\omega+b+c\omega^2}{a\omega^2+b\omega+c}+\frac{a\omega^2+b+c\omega}{a+b\omega+c\omega^2}=?$
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
difficult
asked
Jul 12, 2013
by
rvidyagovindarajan_1
1
answer
A block is placed on a rough horizontal plane attached with an elastic spring as shown.
jeemain
physics
class11
unit3
laws-of-motion
q47
difficult
asked
Jul 11, 2013
by
meena.p
1
answer
Two blocks of 100 kg and 50 kg connected by a massless string passing over a frictionless pulley rests on frictionless inclined plates inclined at angles $30^{\circ}$ and $60^{\circ}$ what is the acceleration and which way the system moves? $(g=10 m/s)$
jeemain
physics
class11
unit3
laws-of-motion
q46
difficult
asked
Jul 10, 2013
by
meena.p
1
answer
In the figure $A=10 kg,B=5 kg$ and coefficient of friction between A and table is $ \mu=0.2$ . find the minimum value of mass C which may stop A from slipping
jeemain
physics
class11
unit3
laws-of-motion
q45
difficult
asked
Jul 10, 2013
by
meena.p
1
answer
Two beads A and B move along a semicircular wire frame as shown. The beads are connected by an inelastic string which always remains tight. At an instant the speed of A is $u$ . $ \angle BAC=45^{\circ}$ and angle $BOC=75 ^{\circ}$ where O is center of the semicircular arc. The speed of bead B at that instant is
jeemain
physics
class11
unit3
laws-of-motion
q39
difficult
asked
Jul 9, 2013
by
meena.p
1
answer
If $(a_1+ib_1)(a_2+ib_2)......................(a_n+ib_n)=c+id$ then what is the value of $tan^{-1}\large\frac{b_1}{a_1}$+$tan^{-1}\large\frac{b_2}{a_2}$+............................$tan^{-1}\large\frac{b_n}{a_n}$?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
difficult
asked
Jul 9, 2013
by
rvidyagovindarajan_1
1
answer
A man is standing stationary with respect to a horizontal conveyor belt that is accelerating with $1 m/s^2$. What is the net force on the man if the coefficient of static friction between man's shoes and belt is 0.2, upto what acceleration of belt can the man continue to be stationary relative to the belt? Mass of man$=65 kg; g=9.8 m/s^2$
jeemain
physics
class11
unit3
laws-of-motion
q31
difficult
asked
Jul 8, 2013
by
meena.p
1
answer
All surfaces are smooth in the figure. Find F such that block of mass m resting on a wedge of mass M remains stationary with respect to wedge
jeemain
physics
class11
unit3
laws-of-motion
q30
difficult
asked
Jul 8, 2013
by
meena.p
1
answer
A body A of mass 1kg is resting on a table and connected to body B and C as shown. The surface are smooth and string and spring are massless. The string is inextensible. Find the extension in the spring if force constant of spring $=k=50 N/m$ take $(g=10 m/s^2)$
jeemain
physics
class11
unit3
laws-of-motion
q28
difficult
asked
Jul 8, 2013
by
meena.p
1
answer
The system as shown is released from rest. Neglecting friction and masses of pulleys, spring & rope the spring gets elongated if
jeemain
physics
class11
unit3
laws-of-motion
q24
difficult
asked
Jul 8, 2013
by
meena.p
1
answer
A horizontal force F is applied on a rod inserted between two identical blocks A and B placed over a rough surface as shown.Force F is gradually increased then which of the block will move first.
jeemain
physics
class11
unit3
laws-of-motion
q23
difficult
asked
Jul 8, 2013
by
meena.p
1
answer
If $z$ is a complex number where $1+z+z^2=0$, then the value of $(z+\large\frac{1}{z}$$)^2+(z^2+\large\frac{1}{z^2}$$)^2+(z^3+\large\frac{1}{z^3}$$)^2+.......................(z^6+\large\frac{1}{z^6}$$)^2$ = ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
difficult
asked
Jul 5, 2013
by
rvidyagovindarajan_1
1
answer
The area of the triangle with vertices $z,iz\:\:and\:\:-iz$ is ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
difficult
asked
Jul 4, 2013
by
rvidyagovindarajan_1
1
answer
An aircraf flies a $400 km/hr$ in still air. A wind of $200 \sqrt 2 km/hr$ is blowing from south. A pilot wishes to travel from A to a point B north east of A .Find the direction he must steer and time of journey if $AB=1000km$
jeemain
physics
class11
ch4
kinematics
motion-in-a-plane
vectors
scalars-and-vectors
difficult
asked
Jul 4, 2013
by
meena.p
1
answer
If initial velocity of projection is $10 m/s$ and angle of projection is $60 ^{\circ}$, find range R.
jeemain
physics
class11
unit2
kinematics
motion-in-a-plane
projectile-motion
difficult
asked
Jul 3, 2013
by
meena.p
1
answer
A ball rolls off top of a stair way with horizontal velocity $u\; m/s$ If height of each step is h and width of each step is b the ball will hit the edge of $n^{th}$ step if $n$ is equal to
jeemain
physics
class11
unit2
kinematics
motion-in-a-plane
projectile-motion
difficult
asked
Jul 3, 2013
by
meena.p
1
answer
Two trains each having speed $30 km/hr$ are leading towards each other on the same straight track. A bird can fly at $ 60 km/hr$ flies off one train when they are $60 km$ apart and heads directly for the other train. On reaching other train it files directly back to first and so on. How many trips can the bird fly from one train to another before the trains crash?
jeemain
physics
class11
unit2
kinematics
motion-in-a-straight-line
relative-velocity
difficult
asked
Jul 2, 2013
by
meena.p
1
answer
A partical A is projected with an initial velocity of $60 m/s$ at an angle $30 ^{\circ}$ to horizontal . At the same time a second particle B is projected in the opposite direction with initial speed of $50 m/s$ from a point at a distance of $100 m$ from A. If the particle collide in mid air. find the angle of projection $\alpha$ of particle B.$(g=10 m/s^2)$
jeemain
physics
class11
unit2
kinematics
motion-in-a-plane
projectile-motion
difficult
asked
Jul 2, 2013
by
meena.p
1
answer
There are two angles of projection for which the horizontal range is same. The sum of maximum heights for these two angles is
jeemain
physics
class11
unit2
kinematics
motion-in-a-plane
projectile-motion
difficult
asked
Jul 2, 2013
by
meena.p
1
answer
Ball A is dropped from top of a building. At same instant ball B is thrown vertically upwards from ground. When the balls collide, they were moving in opposite directions and speed of A is twice the speed of B. At what fraction of the height of building did the collision occur
jeemain
physics
class11
unit2
kinematics
motion-in-a-straight-line
kinematic-equation-for-accelerated-motion
difficult
asked
Jul 1, 2013
by
meena.p
1
answer
The trajectory of a projectile in a vertical plane is $y=ax-bx^2$ where $a$ and $b$ are constants. The maximum height attained by the particle and the angle of projection from horizontal are
jeemain
physics
class11
unit2
kinematics
motion-in-a-plane
projectile-motion
difficult
asked
Jul 1, 2013
by
meena.p
2
answers
Velocity versus displacement graph of a particle moving in a straight line is shown. corresponding acceleration versus velocity graph will be
jeemain
physics
class11
unit2
kinematics
q70
difficult
asked
Jul 1, 2013
by
meena.p
1
answer
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