JEE-Main - Grade 11 - Physics - Motion in a Plane - Importance and Snapshot of Motion In A Plane - Study ref# 703

Introduction:
In Motion in a Straight Line chapter we developed the
concepts of position, displacement, velocity and acceleration that are needed
to describe the motion of an object along a straight line. We found that the
directional... read more

JEE-Main - Grade 12 - Physics - Moving Charges and Magnetism - Introduction and Snapshot of Moving Charges and Magnetism - Study ref# 815

Introduction:
Both Electrically and Magnetism have been
known for more than 2000 years. However, it was only about 200 years ago, in
1820, that it was realized that they were intimately related. During a
lecture demonstration in the su... read more

JEE-Main - Grade 12 - Physics - Ray Optics and Optical Instruments - Introduction and Snapshot of Ray Optics and Optical Instruments - Study ref# 830

Introduction:
Nature has endowed the human eye
(retinal) with the sensitivity to detect electromagnetic waves within a small
range of the electromagnetic spectrum. Electromagnetic radiation belonging to
this region of the spectrum (wav... read more

JEE-Main - Grade 12 - Mathematics - Matrices - Introduction and Snapshot of Matrices - Study ref# 905

Introduction
The knowledge of matrices is necessary in
various branches of mathematics. Matrices are one of the most powerful tools
in mathematics. This mathematical tool simplifies our work to a great extent
when compared with straight f... read more

JEE-Main - Grade 11 - Mathematics - Straight Lines - Importance and Snapshot of Straight Lines - Study ref# 629

Introduction:
We are familiar with two-dimensional coordinate geometry
from earlier classes. Mainly, it is a combination of algebra and geometry. A
systematic study of geometry by the use of algebra was first carried out by
celebrated ... read more

JEE-Main - Grade 11 - Mathematics - Straight Lines - Importance and Snapshot of Straight Lines - Study ref# 630

Following sections must be covered to understand the
Straight Lines:
1. Slope of a Line
2. Various Forms of the Equation of a Lines
3. General Equation of a Line
4. Distance of a Point from a Line... read more

JEE-Main - Grade 11 - Mathematics - Straight Lines - Target Setup for Straight Lines - Study ref# 631

Student requires to achieve the following milestones to get better grip over Straight Lines. The milestones / targets are as follows:-Starting Point: Days 0Test TypeAppear on TestTarget TestsScorePractice Test000%Chapter Test000%Subje... read more

JEE-Main - Grade 11 - Physics - Motion in a Straight Line - Importance and Snapshot of Motion In A Straight Line - Study ref# 700

Introduction:
Motion is common to everything in the universe. We walk,
run and ride a bicycle. Motion is change in position of an object with time.
In this chapter, we shall learn how to describe motion. For this, we develop
the concep... read more

JEE-Main - Grade 11 - Physics - Motion in a Straight Line - Target Setup for Motion In A Straight Line - Study ref# 702

Student requires to achieve the following milestones to get better grip over Motion In A Straight Line. The milestones / targets are as follows:- Starting Point: Days 0Test TypeAppear on TestTarget TestsScorePractice Test000%Chap... read more

JEE-Main - Grade 11 - Physics - Motion in a Straight Line - Study ref# 70

A ball is thrown vertically upward with a velocity of 20 m/s. Construct time–acceleration and time-displacement graph. Answer: Initial velocity Acceleration because, acceleration is downward. Time to reach max. height... read more

JEE-Main - Grade 11 - Physics - Motion in a Straight Line - Study ref# 71

Two parallel rail tracks run north-south. Train A moves due north with a speed of 54 km/h and train B moves due south with a speed of 90 km/h. What is the relative velocity of B with respect to A in m/s? Answer: VA = 54 km/hr VB = 90 k... read more

JEE-Main - Grade 11 - Physics - Motion in a Straight Line - Study ref# 72

The displacement (in meter) of a particle moving along x-axis is given by .Calculate:1. The instantaneous velocity at t = 2s2. Average velocity between t = 2s and t = 3s,3. Instantaneous acceleration. Answer: 1. At, &nbs... read more

JEE-Main - Grade 11 - Physics - Motion in a Straight Line - Study ref# 73

Suppose two straight lines are drawn at angle with time axis in the same displacement- time graph. Which straight line determines larger velocity? And find the ratio of their velocities. Answer: In displacement-time graph, The veloci... read more

JEE-Main - Grade 11 - Physics - Motion in a Straight Line - Study ref# 74

A body is thrown up with a velocity of . Find how high will it rises and how much time will it take to return to its point of projection. Answer: Let the point of projection O be taken as the origin.At t = 0, v(0) = 78.4 ms-1 Let t be the t... read more

JEE-Main - Grade 11 - Physics - Motion in a Straight Line - Study ref# 75

A car moving along a straight highway with speed of 126 km/h is brought to a stop within a distance of 200m. What is the retardation of the car (assumed uniform) and how long does it take for the car to stop? Answer: Initial speed of the car, &n... read more

JEE-Main - Grade 11 - Physics - Motion in a Straight Line - Study ref# 76

‘Displacement cannot be always equal to the distance traversed’ – explain it with example. Answer: Distance is the total path traversed by the particle but displacement is the shortest distance between the initial position and final position of motio... read more

JEE-Main - Grade 11 - Physics - Motion in a Straight Line - Study ref# 77

Establish the relation graphically. Answer: Slope of v-t graph is constant. So there is uniform acceleration. Area below the graph gives the displacement (x).Area = Area of trapezium Since We have, ... read more

JEE-Main - Grade 11 - Physics - Motion in a Straight Line - Study ref# 79

Define Instantaneous velocity. Answer: Velocity of body at a particular instant is called Instantaneous velocity. or, ... read more

JEE-Main - Grade 11 - Physics - Motion in a Straight Line - Study ref# 82

A train moves from one station to other station with a velocity 40 km/h and returns to the first station with velocity 60 km/h. Find average speed and average velocity of the train. Answer: Suppose, the distance between the stations is cm.... read more

JEE-Main - Grade 11 - Physics - Motion in a Straight Line - Study ref# 83

Find the average speed and average velocity of a particle moving a half circle of radius in time. Answer: Here, total distance travelled in time t is = Here, displacement = ... read more

JEE-Main - Grade 11 - Physics - Motion in a Straight Line - Study ref# 84

A jet plane travelling at the speed of 500 km/h ejects its product of combustion at the speed of 1500 km/h relative to the jet plane. What is the speed of the latter with respect to an observer on the ground? Answer: Suppose velocity of jet plane and... read more

JEE-Main - Grade 11 - Physics - Motion in a Straight Line - Study ref# 85

A cricketer hits a ball coming towards south with a velocity 30 m/s and gives it a velocity 20 m/s towards north. Find the change in velocity. Find also the acceleration if the time of contact is 0.02 sec. Answer: Here, initial velocity is ... read more

JEE-Main - Grade 11 - Physics - Motion in a Straight Line - Study ref# 86

The distance travelled by a particle in time t is given by the average speed of the particle during the time 0 to 5 sec, and (b) the instantaneous speed at t = 4 sec. Answer: (a) The distance travelled during time 0 ... read more

JEE-Main - Grade 11 - Physics - Motion in a Straight Line - Study ref# 87

A particle starts to fall from the highest point of a vertical circle along any one chord of that circle. Show that, the time required to reach the other end of the chord is independent of the length of the chord. Answer: Suppose, the radius of the c... read more

JEE-Main - Grade 11 - Physics - Motion in a Straight Line - Study ref# 88

Displacement and time t of a particle is related by the equation . After how much time the particle stops for a moment? Answer: When the particle stops, its velocity becomes zero So, By condition, So, ... read more

JEE-Main - Grade 11 - Physics - Motion in a Straight Line - Study ref# 89

A stone is dropped from the top of a tower of height 400 m. at the same instant another stone is thrown upward with velocity 100 m/s. when and where of their path will they meet? Answer: Suppose, after time t and at a distance h from the top of... read more

JEE-Main - Grade 11 - Physics - Motion in a Straight Line - Study ref# 90

Two particles of mass are dropped from height a and b respectively. Find the ratio of their time to reach ground. Answer: For particle of mass , ... read more

JEE-Main - Grade 11 - Physics - Motion in a Straight Line - Study ref# 91

A particle moves with a velocity . Find the distance travelled by the particle. Answer: Velocity of the particle at time t is The velocity-time graph of the particle is given below Now, distance travelled by the particle in time ... read more

JEE-Main - Grade 11 - Physics - Motion in a Straight Line - Study ref# 92

A train was moving with a speed 54 km/h. It applies break and comes to rest within 1 min. Find (a) the retardation and (b) the distance covered before come to rest. Answer: Initial velocity Final velocity = 0 Time&nb... read more

JEE-Main - Grade 11 - Physics - Motion in a Straight Line - Study ref# 93

Derive the relation graphically. Symbols have their usual meaning. Answer: ... read more

JEE-Main - Grade 11 - Physics - Motion in a Straight Line - Study ref# 94

A bullet travelling with a velocity of 16 m/s penetrates a tree trunk and comes to rest in 0.4m. Find the time taken during the retardation. Answer: Initial velocity Distance d = 0.4 m Final velocity Retardation = &nbs... read more

JEE-Main - Grade 11 - Physics - Motion in a Straight Line - Study ref# 95

Retardation of a particle moving along a straight line is , where the velocity of the particle at time t is and c is any positive constant. If the initial velocity of the particle is u then show that . Answer: Here the retardatio... read more

JEE-Main - Grade 11 - Physics - Motion in a Straight Line - Study ref# 96

A particle is dropped from a building of height 400m. How much distance will it cover in the last sec of its journey? (given g = 9.8 ms-2) Answer: Initial velocity Acceleration = Height Now, from equation &... read more

JEE-Main - Grade 11 - Physics - Motion in a Straight Line - Study ref# 97

A man walks on a straight road from his home to a market 2.5 km away with a speed of 5 km/h. finding the market closed, he instantly turns and walk back home with a speed of 7.5 km/h. What is the(a) Magnitude of average velocity, and(b) Ave... read more

JEE-Main - Grade 11 - Physics - Motion in a Straight Line - Study ref# 98

Give an example of uniform speed but different acceleration. Answer: When a particle moves along a circular path with uniform speed, then its speed is uniform. The acceleration of the particle is centripetal acceleration, which is directed towards th... read more

JEE-Main - Grade 11 - Physics - Motion in a Straight Line - Study ref# 99

A velocity-time graph of a particle is shown in fig. Find the (a) acceleration of the particle in time 0 to 4.5 sec. (b) total displacement covered by the particle and (c) total distance of the particle. Answer: (a) Accel... read more

JEE-Main - Grade 11 - Physics - Motion in a Straight Line - Study ref# 100

A car starts accelerating from rest for sometimes, maintains the velocity for sometimes and then comes to rest with uniform deceleration. Draw the v-t graph. Answer: The particle starts from rest and moves with a constant acceleration upto time t1 an... read more

JEE-Main - Grade 11 - Physics - Motion in a Straight Line - Study ref# 101

A ball is dropped from a height of 90 m on a floor. At each collision with the floor, the ball loses one-tenth of its speed. Plot the speed-time graph of its motion between t=0 to 12 sec. Answer: in upward direction, so +veTime required to go a... read more

JEE-Main - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 406

A particle is moving along a straight line parallel to x-axis with constant velocity. How does the angular momentum of the particle change about the origin? Answer: Suppose a particle of mass m is moving with velocity v parallel to x-axis from B, whe... read more

By using the concept of equation of a line, prove that the
three points (3,0) (-2,-2) and (8,2) are collinear. Answer: Let given points are A(3,0) , B(-2,-2) and C(8,2).
Equation of line AB is
... read more

Prove analytically that in a right angled triangle the
mid-point of the hypotenuse is equidistant from the three angular points. Answer: Choose the vertices of the right angled triangle as O (0, 0),
A (a, 0), B (0, b). Science the triangle is r... read more

Prove analytically the line joining the mid-points of two
sides of a triangle is half the third side. Answer: Let the base BC=2a be chosen along x-axis and its
mid-point be taken as origin so that the co-ordinates of the point B are (-a,
0) ... read more

The ends of a rod of lengthmove on two mutually
perpendicular lines. Find the locus of the point on the rod which divides it
in the ratio 1:2. Answer: Let the equation of the rod be read more

Prove that the points (a, b+ c), (b, c+ a), and (c, a+ b) are
collinear. Answer:
Apply and
take out a +b +c and ten two columns become indentical so that∆ =0.Since ∆ =0, ∴the points is
collinear.
You m... read more

The line x cos θ
+ y sin θ=p meets the
axes of co-ordinates at A and B respectively. Through A and B lines are drawn
parallel to axes so as to meet the perpendicular drawn from origin to given
line in P and Q respectively; then sh... read more

Which passes through the point (-3, 8) and cuts off +
ive intercepts on the axes whose sum is 7. Answer: Here a + b=7 and-3/a + 8/b = 1 as
x/a + y/b = 1 passes through (-3,8).
Since the intercepts are +ive;... read more

The vertices of a triangle are A (-1, -7), B (5, 1) and C
(1, 4). The equation of the bisector of the angle is ……………… Answer: The
bisector of wi... read more

Two consecutive sides of a parallelogram are 4x + 5y =0
and 7x + 2y = 0. If the equation to one diagonal is 11x + 7y = 9, find the
equation of other diagonal. Answer:
Both of them intersect at A (0, 0). Then diagonal does not pa... read more

JEE-Main - Grade 12 - Mathematics - Application of Integrals - Study ref# 9539

Find the area bounded by the curve and the line .
Hints – Find the points of intersection
of line and .
Find the proper limits, the required area
is given by area under the parabola w.r.t. X-axis subtracted from ar... read more

Represent graphically a displacement of
40 km, 30° east of north. Answer: The displacement is 30°
east of north so, we have to draw a straight line making 30°
with north.
Here, vector OP represent the
dis... read more

JEE-Main - Grade 12 - Chemistry - Chemical Kinetics - Study ref# 9753

Match the graph given in column I with
the order of reaction given in column II. More than one item in Column I may
link to the same item of column II.
read more

JEE-Main - Grade 12 - Chemistry - Chemical Kinetics - Study ref# 9758

Which of the following graph is correct
for a zero order reaction?
Hint: This problem includes graphical
representation of zero order reaction. To solve this problem.
(i) Write rate equation of zero order
reaction.
... read more

JEE-Main - Grade 12 - Chemistry - Chemical Kinetics - Study ref# 9762

For a general reaction A B, plot of
concentration of A vs time is given in figure. Answer the following questions
on the basis of this graph.
(i) What is the order of the reaction?
(ii) What is the slope of the curve?
(iii) What are th... read more

How do you explain the presence of all
the six carbon atoms in glucose in a straight chain? Answer: Glucose on heating with HI produces
n-hexane.
This suggests that all the six carbon
atoms of glucose are linked in a straight chain.... read more

JEE-Main - Grade 12 - Physics - Moving Charges and Magnetism - Study ref# 10507

A long straight wire carries a current of
35A. What is the magnitude of the field B at a point 20 cm away from the
wire?
Hints – Use the formula for magnetic
field produced by a current carrying infinite long wire. Here the length of
t... read more

JEE-Main - Grade 12 - Physics - Moving Charges and Magnetism - Study ref# 10508

A long straight wire in the horizontal
plane carries a current of 50A in north to south direction. Give the
magnitude and direction of B at a point 2.5 m east of the wire.
Hints- As the length of wire is not
mentioned in the question, so ... read more

JEE-Main - Grade 12 - Physics - Moving Charges and Magnetism - Study ref# 10515

A long straight wire carrying current of
25A rests on a table shown in figure. Another wire PQ of length 1m, mass 2.5
g carries the same current but in the opposite direction. The wire PQ is free
to slide up and down. To what height will PQ ... read more

A loop ,made of straight edges has six
corners at A(0,0,0), B(L,0,0) C(L,L,0),D(0,L,0),E(0,L,L) and F(0,0,L). A
magnetic field Tesla
is present in the region. The flux passing through the loop ABCDEFA (in that
order) is
(a) read more

A long straight current carrying wire
passes normally through the center of circular loop. If the current through
the wire increases, will there be an induced emf in the loop? Answer: No,
As the magnetic field due to current
carrying wire... read more

JEE-Main - Grade 12 - Physics - Dual Nature of Radiation and Matter - Study ref# 10692

Plot a graph showing the variation of
stopping potential with the frequency of incident radiation for two different
photosensitive material having work function and
( >).
On what fac... read more

JEE-Main - Grade 12 - Physics - Communication Systems - Study ref# 10729

(i) What is line of sight communication?
(ii) Why is it not possible to use sky
waves for transmission of TV signals? Upto what distance can a signal be
transmitted using an antenna of height ‘h’? Answer: (i) Communication, using waves whi... read more

JEE-Main - Grade 12 - Physics - Communication Systems - Study ref# 10734

What is space wave propagation? Which
systems of communication use space waves? What is ‘radio horizon’ of
transmitting antenna of height h? Why is space wave propagation suitable for
frequencies above 40 MHz? Answer: Propagation of waves, a... read more

JEE-Main - Grade 12 - Physics - Communication Systems - Study ref# 10737

What is space wave propagation? State the
factors which limit its range of propagation. Derive an expression for the
maximum line of sight distance between two antennas for space wave
propagation. Answer: Space Wave Propagation:
The mo... read more