JEE-Main - Grade 11 - Physics - Gravitation - Importance and Snapshot of Gravitation - Study ref# 712

Introduction:
Early in our lives, we become aware of tendency of all
material objects to be attracted towards the earth, going uphill is lot more
tiring than going downhill and there are many other such phenomena.
Historically it was t... read more

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 11 - Physics - Motion in a Plane - Importance and Snapshot of Motion In A Plane - Study ref# 704

Following sections must be covered to understand Motion in
a Plane:
1. Introduction
2. Scalars and Vectors
3. Multiplications of vectors by real numbers
4. Addition and Subtraction of vectors – graphical methods
5. Resolution of ... read more

JEE-Main - Grade 11 - Physics - Motion in a Plane - Target Setup for Motion In A Plane - Study ref# 705

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

JEE-Main - Grade 11 - Physics - System of Particles and Rotational Motion - Importance and Snapshot of System Of Particles And Rotational Motion - Study ref# 710

Introduction:
Any real body which we encounter in daily life has a finite
size. In dealing with the motion of extended bodies (bodies of finite size)
often the idealized model of a particle is inadequate. In this chapter, we
shall try ... read more

JEE-Main - Grade 11 - Mathematics - Conic Sections - Importance and Snapshot of Conic Sections - Study ref# 632

Introduction
In this Chapter, we shall study about some curve, viz.,
circle, ellipse, parabolas and hyperbolas. The names parabola and hyperbola
are given by Apollonius. These curves are in fact, known as conic sections or
more commonly c... 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 Plane - Study ref# 152

A body is dropped from the window of a train. Will its time of fall remain the same if the train is stationary, moving with uniform speed or moving with uniform acceleration? Answer: The time of fall in each case will be same.In each case, velocity o... read more

JEE-Main - Grade 11 - Physics - Motion in a Plane - Study ref# 153

Can the resultant of two unequal vectors be zero? Answer: The resultant of two equal and opposite vectors be zero.Now, suppose, the angle between two vectors P and Q be α. So, the magnitude of resultant is When ... read more

JEE-Main - Grade 11 - Physics - Motion in a Plane - Study ref# 154

If A is a vector of constant magnitude, then show that are perpendicular to each other. Answer: = constant = constantSo, &nb... read more

JEE-Main - Grade 11 - Physics - Motion in a Plane - Study ref# 155

Find the magnitude of vector . And also find angles with x-, y-, z- axes. Answer: Suppose A = .magnitude = A = Suppose, the vector A makes angle with x-, y- and z-axes respectively.So, &n... read more

JEE-Main - Grade 11 - Physics - Motion in a Plane - Study ref# 156

Given that, Answer: let angle between A and B is ... read more

JEE-Main - Grade 11 - Physics - Motion in a Plane - Study ref# 157

Given that A = , B = . Find the unit vector along A×B. Answer: A×B ... read more

JEE-Main - Grade 11 - Physics - Motion in a Plane - Study ref# 158

Find the angle between two vectors A= and B = . Answer: To find the angle between two vectors, we use the formulaA. B = A B ... read more

JEE-Main - Grade 11 - Physics - Motion in a Plane - Study ref# 159

If two vectors A= and B = are parallel, then find the values of a and b. Answer: If two vectors are parallel then the ratio of their x-, y-, z- components are equal i.e.So, And ... read more

JEE-Main - Grade 11 - Physics - Motion in a Plane - Study ref# 160

If , then show that vectors A and B are perpendicular to each other. Answer: Given that, ... read more

JEE-Main - Grade 11 - Physics - Motion in a Plane - Study ref# 161

Two equal force of magnitude acts on a body with an angle between them. Show that, their resultant bisects the angle . Answer: Suppose the magnitude of two forces are F and FAnd the angle between them is So the resultant is R =&n... read more

JEE-Main - Grade 11 - Physics - Motion in a Plane - Study ref# 162

Rain is falling vertically with a speed of m/s. Wind is flowing horizontally with a speed of 2 m/s. In which direction the rain seems to fall and with what velocity? Answer: Velocity of rain is Velocity of wind ... read more

JEE-Main - Grade 11 - Physics - Motion in a Plane - Study ref# 163

Two boats are crossing a rives of width 800 m with speed 8 km/h. Velocity of river is 5 km/h. one of them crosses with minimum distance and other crosses with minimum time. Find the separation of time to cross the river if they start together. Answer... read more

JEE-Main - Grade 11 - Physics - Motion in a Plane - Study ref# 164

Rain is falling vertically down with velocity 4 km/h. A person is walking on a horizontal road with 3 km/h. Find the magnitude of velocity and direction of rain with respect to the person. Answer: Velocity of rain is km/hAnd velocity of th... read more

JEE-Main - Grade 11 - Physics - Motion in a Plane - Study ref# 165

A ship is moving due west at speed 40 km/h. another ship is moving with 30 km/h due south. Find the relative velocity of the second sheep with respect to the first one. Answer: Velocity of first ship is Velocity of second ship is So, relati... read more

JEE-Main - Grade 11 - Physics - Motion in a Plane - Study ref# 166

Two particles are dropped from top of a tower with an interval of 2 sec. Find the relative velocity and relative acceleration of the particles. Gravitational acceleration is g m/s2 Answer: When the first particle moves downward by 2 sec, the second p... read more

JEE-Main - Grade 11 - Physics - Motion in a Plane - Study ref# 167

Derive the equation of motion of a particle which is projected with velocity u and at an angle with horizontal. Answer: Suppose that, the particle is launched with velocity u that makes angle with the x-axis. So, compo... read more

JEE-Main - Grade 11 - Physics - Motion in a Plane - Study ref# 168

If two particles are projected at an angle , then find the ratio of their range. Answer: Range of a projectile is given by, R Where u is the projectile velocity of the particleand is the angle of projection with x-axisso, R1... read more

JEE-Main - Grade 11 - Physics - Motion in a Plane - Study ref# 169

Water is spreading around a water-fountain on a floor. Find the area of wet surface around the fountain if water emerges with velocity v making an angle 45 with the floor. Answer: Horizontal range of water is R So, area of th... read more

JEE-Main - Grade 11 - Physics - Motion in a Plane - Study ref# 170

Range of a particle projected with same velocity and with two different angle is same. are the time of flight for these two projectile. Then find the relation between R, . Answer: Suppose the velocity of projection of two projectile i... read more

JEE-Main - Grade 11 - Physics - Motion in a Plane - Study ref# 171

A stone is projected with 28 m/s at an angle with the ground. Find (a) the maximum height the stone will reach and (b) the range of the stone. Answer: (a) Maximum height the stone will reach is &nb... read more

JEE-Main - Grade 11 - Physics - Motion in a Plane - Study ref# 172

A ball is thrown horizontally with 18 m/s from the top of a mountain. If the ball touches the ground at 90 m away from the bottom of mountain, then find the height of the mountain. Answer: Here the horizontal component of velocity is = 18 ... read more

JEE-Main - Grade 11 - Physics - Motion in a Plane - Study ref# 173

Two stones are dropped together from top of a tower. First stone is dropped and second one moves with a horizontal velocity. Explain which one will touch the ground first. Answer: Suppose, height of the tower is hFor first stone, downward velocity is... read more

JEE-Main - Grade 11 - Physics - Motion in a Plane - Study ref# 174

If the angle between two vectors increases gradually from , then how does the resultant value change? Answer: Suppose, the resultant of vectors A and B is R. A is along positive x-axis and is fixed, B is rotating co... read more

JEE-Main - Grade 11 - Physics - Motion in a Plane - Study ref# 175

If the resultant of two vectors is equal in magnitude with a vector R and perpendicular to R, then find the value of other vector. Answer: one vector is R and suppose the other vector is Q.magnitude of resultant of these two vectors is... read more

JEE-Main - Grade 11 - Physics - Motion in a Plane - Study ref# 176

Two forces P = 1 dyne and Q = dyne are perpendicular to each other. Determine the angle between (P+Q) and (P-Q). Answer: Suppose P = And Q = So, (P+Q) = And (P-Q) = the angle between these two vectors is... read more

JEE-Main - Grade 11 - Physics - Motion in a Plane - Study ref# 177

When the angle between P and Q is , the value of resultant is . And when the angle is then value of resultant is prove that, . Answer: When angle is , resultant &nbs... read more

JEE-Main - Grade 11 - Physics - Motion in a Plane - Study ref# 178

Two vectors and represents two sides of a triangle. Find the angle between these two sides and also the length of third side. Answer: Suppose, A = And B =... read more

JEE-Main - Grade 11 - Physics - Motion in a Plane - Study ref# 179

A boat and a motor launch move together from a point making angle with each other. Velocity of motor launch is m times to that of boat. It seems to a passenger of boat that motor launch is moving with angle 45 to the boat. Prove that,... read more

JEE-Main - Grade 11 - Physics - Motion in a Plane - Study ref# 180

A steamer is moving due east with velocity u. a second steamer is moving with speed 2u towards north making an angle of with the east. The second one is moving towards north-east with respect to the first steamer. Show that . Answer: ... read more

JEE-Main - Grade 11 - Physics - Motion in a Plane - Study ref# 181

The equation of a projectile in vertical plane is and b are constant and x, y are the horizontal and vertical distance respectively from point of projection. Determine the maximum height of projectile and also determine the projection angl... read more

JEE-Main - Grade 11 - Physics - Laws of Motion - Study ref# 248

Define (i) angle of friction (ii) coefficient of friction and (iii) angle of repose. Establish a relation between them. Answer: (i) Angle of friction: The angle of friction between any two surfaces in contact is defined as the angle whic... read more

JEE-Main - Grade 11 - Physics - Laws of Motion - Study ref# 249

Calculate the amount of work done in moving a body up a rough inclined plane. Answer: Suppose m is the mass of a body that has to be moved up a rough plane AB, inclined to the horizontal at an angle .The various forces involved are:i) Weight ... read more

JEE-Main - Grade 11 - Physics - Laws of Motion - Study ref# 253

Derive an expression for acceleration of a body down a rough inclined plane. Answer: When a plane is inclined to the horizontal at an angle , which is greater than the angle of repose, the body placed on the inclined plane slides down with an ac... read more

JEE-Main - Grade 11 - Physics - Laws of Motion - Study ref# 254

A body of mass m is released from the top of a rough inclined plane of length l and height h. if f is the force of friction prove that the body will reach the bottom with a velocity Answer: When the body moves down the inclined planeThe acceler... read more

JEE-Main - Grade 11 - Physics - Work, Energy and Power - Study ref# 325

Can mechanical energy be negative? What does negative energy signify? Give an example. Answer: As mechanical energy = Kinetic energy + Potential energyFor mechanical energy is negative, potential energy should be negative and magnitude will be g... read more

JEE-Main - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 405

An isolated particle of mass m is moving in a horizontal (x-y) plane along x-axis at a certain height above the ground. It explodes suddenly into two fragments of masses . An instant later, the smaller fragment is at What is the posit... read more

JEE-Main - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 411

i) State parallel axis theorem of moment of inertia. ii) Find the moment of inertia of a ring of mass M and radius R about the axis tangent to that ring and resides in the plane of ring. Answer: i) Parallel axis theorem: ... read more

JEE-Main - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 412

i) State perpendicular axis theorem of moment of inertia. ii) Find the moment of inertia of a circular disc of mass M and radius R about an axis passing through its centre and perpendicular to its plane. Given, moment o... read more

JEE-Main - Grade 11 - Physics - System of Particles and Rotational Motion - Study ref# 422

Calculate the kinetic energy of rotation of a circular disc of mass 1 kg and radius 0.2 m rotating about an axis passing through its centre and perpendicular to its plane. The disc is completing rotations per minute. Answer: Here &nbs... read more

Write down four properties of geostationary satellites? Answer: 1) period of revolution is same as that of the earth’s spinning motion. 2) It moves from west to east with the orbiting velocity about 3.1km/s 3) The... read more