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NCERT Solutions for Class 11 Maths Chapter 5 in PDF form for NCERT Solutions for Class 11 Maths Chapter 5- Complex Numbers and Quadratic Equations Miscellaneous Exercise The textbook of Class 11 contains an exercise at the end of each chapter. This exercise contains questions that cover all the topics in the chapter. NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations. The chapter discusses, in detail, about the need for complex numbers, especially v?1, to be motivated by the inability to solve some of the quadratic equations. The chapter also enables the students to learn about the algebraic properties of complex. RD Sharma Solutions for Class 7 Maths Chapter 11 Percentage In order to score high in Maths, RD Sharma Solutions is the best study material for the students. These materials can be downloaded easily by clicking the links provided here.
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Practice Test Multiple Choice Questions. Junior Class 5 Doubts and Solutions View more. Your question has been successfully posted. Please visit My Question Space for update. Go to my questions Close. Sign Up Now. Enter your valid mobile number below. Verification Code Sent Successfully. Please enter the verification code sent to your mobile number Change Mobile Number.

Class There are three sections of each class. How many trees will be planted by the students? A spiral is made up of successive semicircles, with centres alternately at A and B, starting with centre at A, of radii 0.

What is the total length of such a spiral made up of thirteen consecutive semicircles? In how many rows are the logs placed and how many logs are in the top row? In a potato race, a bucket is placed at the starting point, which is 5 m from the first potato, and the other potatoes are placed 3 m apart in a straight line. There are ten potatoes in the line A competitor starts from the bucket, picks up the nearest potato, runs back with it, drops it in the bucket, runs back to pick up the next potato, runs to the bucket to drop it in, and she continues in the same way until all the potatoes are in the bucket.

What is the total distance the competitor has to run? Solution: Ex 5. RD Sharma Class 12 Solutions. An object thrown at a certain angle to the ground moves in a curved path and falls back to the ground. The initial and the final points of the path of the object lie on the same horizontal line.

What is the work done by the force of gravity on the object? Since the body returns to a point which is on the same horizontal line through the point of projection, no displacement has taken place against the force of gravity, therefore, no work is done by the force due to gravity.

A battery lights a bulb. Describe the energy changes involved in the process. Within the electric cell of the battery the chemical energy changes into electrical energy. The electric energy on flowing through the filament of the bulb, first changes into heat energy and then into the light energy. Certain force acting on a 20 kg mass changes its velocity from 5 m s -1 to 2 m s Calculate the work done by the force. A mass of 10 kg is at a point A on a table. It is moved to a point B.

If the line joining A and B is horizontal, what is the work done on the object by the gravitational force? Explain your answer. The work done is zero. This is because the gravitational force and displacement are perpendicular to each other. The potential energy of a freely falling object decreases progressively.

Does this violate the law of conservation of energy? It does not violate the law Of conservation of energy. Whatever, is the decrease in PE due to loss of height, same is the increase in the KE due to increase in velocity of the body. What are the various energy transformations that occur when you are riding a bicycle? The chemical energy of the food changes into heat and then to muscular energy. On paddling, the muscular energy changes into mechanical energy. Does the transfer of energy take place when you push a huge rock with all your might and fail to move it?

Where is the energy you spend going? Energy transfer does not take place as no displacement takes place in the direction of applied force.

The energy spent is used to overcome inertia of rest of the rock. A certain household has consumed units of energy during a month. How much energy is this in joules? An object of mass 40 kg is raised to a height of 5 m above the ground. What is its potential energy? If the object is allowed to fall, find its kinetic energy when it is half-way down. What is the work done by the force of gravity on a satellite moving round the earth?

Justify your answer. When a satellite moves round the Earth, then at each point of its path, the direction of force of gravity on the satellite along the radius is perpendicular to the direction of its displacement along the tangent. Hence, the work done on the satellite by the force of gravity is zero. Can there be displacement of an object in the absence of any force acting on it? Discuss this question with your friends and teacher.

The answer is both Yes and No. Yes because when an object moves in deep space from one point to another point in a straight line, the displacement takes place, without the application of force.

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