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Recent questions tagged difficult
Questions
A very broad elevator is going up vertically with a constant acceleration of $2 m/s^2$. At the instant when its velocity is $4m/s$ a ball is projeted from the floor of the lift with a speed of $4 m/s$ relative to the floor at an elevation of $30 ^{\circ}$. The time taken by the ball to return to the floor is $(g=10 m/s^2)$
jeemain
physics
class11
unit2
kinematics
q69
difficult
asked
Jul 1, 2013
by
meena.p
1
answer
A swimmer crosses a flowing stream of width 'w' to and fro in time $t_1$. The time taken to cross the same distance up and down the stream in $t_2.$ If $t_3$ is the time the swimmer would take to swim a distance $2w$ in still water. Then
jeemain
physics
class11
unit2
kinematics
q68
difficult
asked
Jun 29, 2013
by
meena.p
1
answer
A particle moves in xy plane. The position vector of particle at any time t is $\overrightarrow r=\{(2t) i+(2t^2)j\}\; m$. The rate of change of $\theta$ at time $t= 2\;$ seconds is ( $\theta$ is the angle which its velocity vector makes with positive x-axis )
jeemain
physics
class11
unit2
kinematics
q67
difficult
asked
Jun 29, 2013
by
meena.p
1
answer
A bullet fired into a plank loses half of its velocity after penetrating a thickness of $3 cm$. assuming that it has constant force of resistance, how much further does it penetrate before coming to rest
jeemain
physics
class11
unit2
kinematics
q62
difficult
asked
Jun 28, 2013
by
meena.p
1
answer
A train starts from station A with uniform acceleration $\alpha$ for some distance and then goes with uniform retardation $\beta$ for some more time to come to rest at station B.The distance between station A and B is 4 km. and the train takes 4 minutes to complete this journey. If $\alpha$ and $\beta$ are in $km/min^2$ then
jeemain
physics
class11
unit2
kinematics
motion-in-a-straight-line
acceleration
difficult
asked
Jun 28, 2013
by
meena.p
1
answer
Rain is falling vertically with a speed of $20\;ms^{-1}$. A person is running in rain (from east) with a velocity of $5 ms^{-1}$ and a wind is blowing with speed of $15ms ^{-1}$ (from west).The angle with the vertical at which the person should hold his umbrella is
jeemain
physics
class11
unit2
kinematics
motion-in-a-plane
relative-velocity-in-two-dimensions
difficult
asked
Jun 28, 2013
by
meena.p
1
answer
A car starts with constant acceleration $ a=2 m/s^2$ at $t=0$ Two coins are released from the car at $t=3$ and $t=4$. Each coin takes 1 second to reach the ground.Then distance between two coins is (assume the coin stick to ground)
jeemain
physics
class11
unit2
kinematics
motion-in-a-plane
difficult
asked
Jun 27, 2013
by
meena.p
1
answer
Starting from rest, a particle rotates in a circle of radius $R=\sqrt 2 m$ with an angular acceleration $a=\large\frac{\pi}{4} $$rad/s^2$. The magnitude of average velocity of particle over time when it rotates quarter circle is
jeemain
physics
class11
unit2
kinematics
motion-in-a-plane
uniform-circular-motion
difficult
asked
Jun 27, 2013
by
meena.p
1
answer
An elevator car whose floor to ceiling distance is 2.7 m starts ascending with constant acceleration of $1.2 m/s^2$ after 2 seconds of the start a bolt begins falling from ceiling of elevator. What is the time after which the bolt hits the floor of the elevator.
jeemain
physics
class11
unit2
kinematics
motion-in-a-straight-line
relative-velocity
difficult
asked
Jun 27, 2013
by
meena.p
1
answer
A ball of mass m is attached to one end of a light rod of length $l$, other end of which is hinged . What minimum velocity 'v' should be imparted to the ball downwards so that it can complete the circle
jeemain
physics
class11
unit2
kinematics
motion-in-a-plane
uniform-circular-motion
difficult
asked
Jun 27, 2013
by
meena.p
1
answer
To a man walking at the rate of 3 km/hr the rain appears to fall vertically. When he increases the speed to 6 km/hr it appears to meet him at an angle of $45^{\circ}$ with vertical. Find the speed of rain.
jeemain
physics
class11
unit2
kinematics
motion-in-a-plane
relative-velocity-in-two-dimensions
difficult
asked
Jun 26, 2013
by
meena.p
1
answer
A particle A is projected from the ground with an initial velocity of 10 m/s at an angle $60 ^{\circ}$ with horizontal. From what height h should another particle B be projected horizontally with velocity 5 m/s. so both the particle collide in the ground at point C if both are projected simultaneously $(g=10 m/s^2)$
jeemain
physics
class11
unit2
kinematics
motion-in-a-plane
projectile-motion
difficult
asked
Jun 26, 2013
by
meena.p
1
answer
Time taken to reach A to B for a projectile is 't'. Then the distance AB is equal to
jeemain
physics
class11
unit2
kinematics
motion-in-a-plane
projectile-motion
difficult
asked
Jun 26, 2013
by
meena.p
1
answer
At a height 0.4 m from the ground the velocity of particle projected in angle $\theta$ is $\hat v=(6 i+ 2 j)m/s$ The angle of projection $\theta$ is $(g=10 m/s^2)$
jeemain
physics
class11
unit2
kinematics
motion-in-a-plane
projectile-motion
difficult
asked
Jun 26, 2013
by
meena.p
1
answer
A juggler maintains four balls in motion making each of them raise to a height of 20m from his hand.What time interval should he maintain, for the proper distance between them $(g=10 m/s^2)$
jeemain
physics
class11
unit2
kinematics
motion-in-a-straight-line
kinematic-equation-for-accelerated-motion
difficult
asked
Jun 26, 2013
by
meena.p
1
answer
In a car race, car A takes less time to finish than car B and passes finishing point with a velocity $v_0$ more than velocity of car B and $t_0$ time earlier than car B. The cars starts from rest and travel with acceleration $a_1$ and $a_2$ respectively. Then ratio of $\large\frac{v_0}{t_0}$ is
jeemain
physics
class11
unit2
kinematics
motion-in-a-straight-line
kinematic-equation-for-accelerated-motion
difficult
asked
Jun 26, 2013
by
meena.p
1
answer
Two particles start moving from the same point in a straight line. The first moves with constant velocity v and second moves with constant acceleration a. During the time that elapses before the second catches the first, the greatest distance between the particle is
jeemain
physics
class11
unit2
kinematics
motion-in-a-straight-line
kinematic-equation-for-accelerated-motion
difficult
asked
Jun 26, 2013
by
meena.p
1
answer
A particle is projected vertically from a point A on ground. It takes time $t_1$ to reach point B but still continous to move up. It takes further $t_2$ time to reach the ground from point B. Height of point B from the ground is
jeemain
physics
class11
unit2
kinematics
motion-in-a-straight-line
kinematic-equation-for-accelerated-motion
difficult
asked
Jun 26, 2013
by
meena.p
1
answer
A particle is moving in x-y plane with $y=\large\frac{x}{2}$ and $v_x=4-2t$. The displacement versus time of the particle would be
jeemain
physics
class11
unit2
kinematics
motion-in-a-straight-line
acceleration
difficult
asked
Jun 25, 2013
by
meena.p
1
answer
A 2m wide truck is moving with a uniform speed of $v_0=8 m/s$ along a staright horizontal road. A pedestrian starts to cross the road with a uniform speed of v when the truck is 4m away from him. The minimum value of 'v' so that he can cross the road safely is
jeemain
physics
class11
unit2
kinematics
motion-in-a-straight-line
speed-and-velocity
difficult
asked
Jun 25, 2013
by
meena.p
1
answer
A body travelling along a straight line traversed one third of the total distance with velocity 4 m/s. The remaining part of distance was covered with a velocity $2 m/s$ for half the time and with velocity 6 m/s for other half of time. the mean velocity averaged over whole time of motion.
jeemain
physics
class11
unit2
kinematics
motion-in-a-straight-line
speed-and-velocity
difficult
asked
Jun 25, 2013
by
meena.p
1
answer
A ball is projected horizontaly with a speed v from top of a plane inclined at an angle $45^{\circ}$ with the horizontal. How far from the point of projection will the ball strike the plane
jeemain
physics
class11
unit2
kinematics
motion-in-a-plane
projectile-motion
difficult
asked
Jun 24, 2013
by
meena.p
1
answer
A ball is dropped vertically from a height 'd' above the ground. it hits the ground and bounces up vertically to a height $d/2$ neglecting air resistance its velocity 'v' varies with height 'h' above the ground as
jeemain
physics
class11
unit2
kinematics
motion-in-a-straight-line
speed-and-velocity
difficult
asked
Jun 24, 2013
by
meena.p
1
answer
The time taken by a particle to slide down a smooth inclined plane is double the time it would take in falling down along a height equal to vertical height of the plane. The inclination of the plane with horizontal is
jeemain
physics
class11
unit2
kinematics
motion-in-a-plane
difficult
asked
Jun 24, 2013
by
meena.p
1
answer
A man holds four balls 180 m above the ground and drops them at regular intervals of time so that when the first ball hits ground, fourth ball is just leaving his hand. At this time the second and third balls from the ground are at the positions.
jeemain
physics
class11
unit2
kinematics
motion-in-a-straight-line
kinematic-equation-for-accelerated-motion
difficult
asked
Jun 24, 2013
by
meena.p
1
answer
A river is flowing with a speed of 1km/hr. A swimmer wants to go to point 'C'. Starting from 'A', he swims with a speed of 5 km/hr at an angle $ \theta$ w.r.t the river. If $AB=BC=400 m$. Then
jeemain
physics
class11
unit2
kinematics
motion-in-a-plane
difficult
asked
Jun 24, 2013
by
meena.p
1
answer
Two fixed frictionless inclined planes making angle $30 ^{\circ}$ and $60 ^{\circ}$ with the vertical are shown. Two blocks A and B are placed on the two planes. What is the relative vertical acceleration of A with respect to B
jeemain
physics
class11
unit2
kinematics
motion-in-a-plane
relative-velocity-in-two-dimensions
difficult
asked
Jun 24, 2013
by
meena.p
1
answer
A particle starts from rest from top of an inclined plane of a given base. The time of fall is least when the inclination of the plane to the horizon is
jeemain
physics
class11
unit2
kinematics
motion-in-a-straight-line
kinematic-equation-for-accelerated-motion
difficult
asked
Jun 23, 2013
by
meena.p
1
answer
If $2^x+2^{f(x)}=2$, then find the domain of $f(x)$
jeemain
math
class11
ch2
relations-and-functions
functions
difficult
asked
May 30, 2013
by
rvidyagovindarajan_1
1
answer
If $f(x) $ is polynomial and $f(x).f(\large\frac{1}{x})$$=f(x)+f(\large\frac{1}{x})$ and $f(3)=28 $ then find $f(4)$
jeemain
math
class11
ch2
relations-and-functions
functions
difficult
asked
May 30, 2013
by
rvidyagovindarajan_1
1
answer
If $f:R\rightarrow R$ is defined as $f(x)=[x]^2+[x+1]-3$ where $[x]$ is greatest integer of $x$, then what type of function is $f$?
jeemain
math
class12
ch1
relations-and-functions
types of functions
difficult
asked
May 28, 2013
by
rvidyagovindarajan_1
1
answer
The value of $a\:\:and\:\:b$ for which $f:R\rightarrow R$ is defined as $f(x)=ax+b$ where $a,b\in R $ is bijection with $fof$ as its identity is ?
jeemain
math
class12
ch1
relations-and-functions
types of relations
difficult
asked
May 28, 2013
by
rvidyagovindarajan_1
1
answer
Find the linear functions that maps $[-1,1]$ onto $[0,2]$.
jeemain
math
class12
ch1
relations-and-functions
types of functions
difficult
asked
May 28, 2013
by
rvidyagovindarajan_1
1
answer
If $g(x)=1+x-[x]$ where $[x]$ is greatest integer $x$ and $f(x)=\left\{\begin{array}{111}-1,\:\:\:\:x<0\\0,\:\:\:\:\:x=0\\1,\:\:\:\:\:x>0\end{array}\right.$ then $fog(x)=?$
jeemain
math
class12
ch1
relations-and-functions
difficult
asked
May 12, 2013
by
rvidyagovindarajan_1
1
answer
If $f(x)=log\bigg(\large\frac{1+x}{1-x}\bigg)$, then $f(x)+f(y)$ = ?
jeemain
math
class11
ch2
relations-and-functions
function
difficult
asked
May 8, 2013
by
rvidyagovindarajan_1
1
answer
If $f(x)$ is a real valued function satisfying $f(x+1)+f(x-1)=2f(x)$ $\forall x\in R$ and $f(0)=0$, then for any $n\in N,\:f(n)$ = ?
jeemain
math
class12
ch1
relations-and-functions
composition
of
functions
difficult
asked
May 7, 2013
by
rvidyagovindarajan_1
1
answer
If $f:R\rightarrow R$ is a function defined as $f(2x+3)+f(2x+7)=2$ $\forall x\in R$ then the period of $f(x)$ is
jeemain
math
class11
ch2
relations-and-functions
functions
difficult
asked
May 7, 2013
by
rvidyagovindarajan_1
1
answer
The range of the real valued function $f(x)=\large\frac{x^2+x+2}{x^2+x+1}$ is
jeemain
math
class11
ch2
relations-and-functions
functions
difficult
asked
May 7, 2013
by
rvidyagovindarajan_1
1
answer
If $f:R\rightarrow S$ defined by $\:f(x)=\sin x-\sqrt3\; \cos x+1\;$ is onto function then $S$ = ?
jeemain
math
class12
ch1
relations-and-functions
types
of
functions
difficult
asked
May 4, 2013
by
rvidyagovindarajan_1
1
answer
If $f$ is a real values function satisfying $f(x+y)=f(x)\;f(y)$ and $f(1)=a$ where $x,y\in R$, then $f(x)$ =
jeemain
math
class12
ch1
relations-and-functions
composition of functions
difficult
asked
May 4, 2013
by
rvidyagovindarajan_1
1
answer
The inverse of $f(x)=x-[x],$ where $[x]$ is greatest integer function is
jeemain
math
class12
ch1
relations-and-functions
composition
of
functions
difficult
asked
May 2, 2013
by
rvidyagovindarajan_1
2
answers
The domain of $sin^{-1}\big[log_3(\large\frac{x}{3})\big]$ is
jeemain
math
class11
ch2
relations-and-functions
functions
difficult
asked
Apr 29, 2013
by
rvidyagovindarajan_1
1
answer
If the set $S={1,2,3...........12}$ is to be partitioned into $3$ sets $A,B,C$ of equal size so that $A\cup B\cup C=S$ and $A\cap B=B\cap C=C\cap A=\phi$, then the no. of ways the partition can be done is
jeemain
math
class11
ch1
sets
venn
diagram
operation
on
difficult
asked
Apr 26, 2013
by
rvidyagovindarajan_1
1
answer
If $\large\overrightarrow a\:and\:\overrightarrow b$ are unit vectors then prove that $ \large\frac{1}{2}|\overrightarrow a-\overrightarrow b|=sin\frac{\theta}{2}.$
class12
ch10
kvquestionbank2012
q8
b
difficult
sec-b
asked
Apr 19, 2013
by
rvidyagovindarajan_1
1
answer
A cup of coffee at temperature $100^{\circ}$$C$ is placed in a room whose temperature is $15^ {\circ}$$C$ and it cools to $60^{\circ}$$C$ in $5$ minutes . Find its temperature after a further interval of $5$ minutes.
tnstate
class12
math
bookproblem
ch8
sec-1
exercise8-6
p155
q3
jeemain
difficult
modelpaper
oct-2009
asked
Apr 17, 2013
by
poojasapani_1
1
answer
If a,b,c are positive and unequal,show that the value of the determinant $\Delta=\begin{vmatrix}a & b & c\\b & c & a\\c & a & b\end{vmatrix}$ is negative.
cbse
class12
additionalproblem
ch4
sec-c
difficult
math
asked
Apr 5, 2013
by
sreemathi.v
1
answer
The sum of three numbers is 6.If we multiply the third number by 2 and add the first number to the result,we get 7.By adding second and third numbers to three times the first number we get 12.Use determinants to find the numbers.
cbse
class12
additionalproblem
ch4
sec-c
difficult
math
asked
Apr 5, 2013
by
sreemathi.v
1
answer
Without expanding evaluate the determinent $\begin{vmatrix} (a^x+a^{-x})^2 & (a^x-a^{-x})^2 & 1 \\ (a^y+a^{-y})^2 & (a^y-a^{-y})^2 & 1 \\ (a^z+a^{-z})^2 & (a^z-a^{-z})^2 & 1 \end{vmatrix}$ where $a>0$ ,and $x,y,z \in R$
cbse
class12
ch4
sec-b
q11
additionalproblem
difficult
math
asked
Apr 3, 2013
by
meena.p
1
answer
Examine the consistency of the following system of equation. If it is consistent than solve the same. $x+y-z=1\;,2x+2y-2z=2\;,-3x-3y+3z=-3$
tnstate
class12
bookproblem
ch1
sec-1
exercise1-5
p45
q1
q1-5
jun-2009
modelpaper
sec-c
difficult
asked
Mar 30, 2013
by
poojasapani_1
1
answer
Examine the consistency of the following system of equation. If it is consistent than solve the same. $x-3y-8z=-10\;,3x+y-4z=0\;,2x+5y+6z-13=0 $
tnstate
class12
bookproblem
ch1
sec-1
exercise1-5
p45
q1
q1-2
sec-c
difficult
asked
Mar 30, 2013
by
poojasapani_1
1
answer
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