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Class 11 Physics | कणों के निकाय तथा घूर...

Class 11 Physics | कणों के निकाय तथा घूर्णी गति One Shot |Systems of Particles and Rotational Motion

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Two strange particles A and B in space, exert no force on each other when they are at a separation greater than x_(0) = 1.0 m. When they are at a distance less than x_(0) , they repel one another along the line joining them. The repulsion force is constant and does not depend on the distance between the particles. This repulsive force produces an acceleration of 6 ms^(–2) in A and 2 ms^(–2) in B when the particles are at separation less than x_(0) . In one experiment particle B is projected towards A with a velocity of 2 ms^(–1) from a large distance so as to hit A head on. The particle A is originally at rest and the system of two particles do not experience any external force. (a) Find the ratio of mass of A to that of B. (b) Find the minimum distance between the particles during subsequent motion. (c) Find the final velocity of the two particles.

A particle of mass m is attached to one end of a weightless and inextensible string of length L. The particle is on a smooth horizontal table. The string passes through a hole in the table and to its other and is attached a small particle of equal mass m. The system is set in motion with the first particle describing a circle on the table with constant angular velocity omega_(1) and the second particle moving in the horizontal circle as a conical pendulum with constant angular velocity omega_(2) Show that the length of the portions of the string on either side of the hole are in the ratio omega_(2)^(2): omega_(1)^(2)

In a class , 22 studets offered Mathematics , 18 students offered Chemistry and 24 students offered Physics . All of them have to offer atleast one of these . 11 are in both Mathematics and Chemistry ,13 in Chemistry and Physics and 14 in Mathematics and Physics and 7 have offered all the three subjects Find : (i) how many students are there in the class ? (ii) how many students offered only Mathematics ?

Assertion One end of a massless rod of length l is hinged so that it is free to rotate in vertical plane about a horizontal axis. If a particle is attached to the other end of the rod, then the minimum speed at lower most position of the particle is sqrt(5gl) to complete the circular motion. Reason Work done by cnetripetal force on the particle is always zero.

Collision is a physical process in which two or more objects, either particle masses or rigid bodies, experience very high force of interaction for a very small duration. It is not essential for the objects to physically touch each other for collision to occur. Irrespective of the nature of interactive force and the nature of colliding bodies, Newton's second law holds good on the system. Hence, momentum of the system before and after the collision remains conserved if no appreciable external force acts on the system during collision. The amount of energy loss during collision, if at all, is indeed dependent on the nature of colliding objects. The energy loss is observed to be maximum when objects stick together after collision. The terminology is to define collision as 'elastic' if no energy loss takes place and to define collision as 'plastic' for maximum energy loss. The behaviour of system after collision depends on the position of colliding objects as well. A unidirectional motion of colliding objects before collision can turn into two dimensional after collision if the line joining the centre of mass of the two colliding objects is not parallel to the direction of velocity of each particle before collision. Such type of collision is referred to as oblique collision which may be either two or three dimensional. According to the definition of collision in paragraph I, which of the following physical process is not a collision?

Collision is a physical process in which two or more objects, either particle masses or rigid bodies, experience very high force of interaction for a very small duration. It is not essential for the objects to physically touch each other for collision to occur. Irrespective of the nature of interactive force and the nature of colliding bodies, Newton's second law holds good on the system. Hence, momentum of the system before and after the collision remains conserved if no appreciable external force acts on the system during collision. The amount of energy loss during collision, if at all, is indeed dependent on the nature of colliding objects. The energy loss is observed to be maximum when objects stick together after collision. The terminology is to define collision as 'elastic' if no energy loss takes place and to define collision as 'plastic' for maximum energy loss. The behaviour of system after collision depends on the position of colliding objects as well. A unidirectional motion of colliding objects before collision can turn into two dimensional after collision if the line joining the centre of mass of the two colliding objects is not parallel to the direction of velocity of each particle before collision. Such type of collision is referred to as oblique collision which may be either two or three dimensional. Which of the following collisions is one-dimensional?

Collision is a physical process in which two or more objects, either particle masses or rigid bodies, experience very high force of interaction for a very small duration. It is not essential for the objects to physically touch each other for collision to occur. Irrespective of the nature of interactive force and the nature of colliding bodies, Newton's second law holds good on the system. Hence, momentum of the system before and after the collision remains conserved if no appreciable external force acts on the system during collision. The amount of energy loss during collision, if at all, is indeed dependent on the nature of colliding objects. The energy loss is observed to be maximum when objects stick together after collision. The terminology is to define collision as 'elastic' if no energy loss takes place and to define collision as 'plastic' for maximum energy loss. The behaviour of system after collision depends on the position of colliding objects as well. A unidirectional motion of colliding objects before collision can turn into two dimensional after collision if the line joining the centre of mass of the two colliding objects is not parallel to the direction of velocity of each particle before collision. Such type of collision is referred to as oblique collision which may be either two or three dimensional. For which of the following collisions, the external force acting on the system during collision is not appreciable as mentioned in paragraph 1.