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Write the relation between the refractive index and critical angle for a given pair of optical media.
The relation between the refractive index (n) and the critical angle (θ c ) for a given pair of optical media is: n = 1/sinθ c where θ c is the angle of incidence for total internal reflection. For more visit here: https://www.tiwariacademy.com/ncert-solutions/class-12/physics/chapter-9/
The relation between the refractive index (n) and the critical angle (θ c ) for a given pair of optical media is:
n = 1/sinθ c
where θ c is the angle of incidence for total internal reflection.
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When light travels from a rarer to a denser medium, the speed decreases. Does this decrease in speed imply a decrease in the energy carried by the light wave?
No, the decrease in speed does not imply a decrease in the energy carried by the light wave. The energy of light depends on its frequency, which remains unchanged when transitioning between media. Only the wavelength and speed are affected, not the energy. For more visit here: https://www.tiwariacadRead more
No, the decrease in speed does not imply a decrease in the energy carried by the light wave. The energy of light depends on its frequency, which remains unchanged when transitioning between media. Only the wavelength and speed are affected, not the energy.
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Name the physical principle on which the working of optical fibres is based.
The working of optical fibers is based on the principle of total internal reflection. When light travels through the core of the fiber, it is reflected entirely at the core-cladding interface, allowing efficient transmission over long distances. For more visit here: https://www.tiwariacademy.com/nceRead more
The working of optical fibers is based on the principle of total internal reflection. When light travels through the core of the fiber, it is reflected entirely at the core-cladding interface, allowing efficient transmission over long distances.
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For a satellite moving in an orbit around the earth, the ratio of kinetic energy to potential energy is
The relationship between a satellite's kinetic energy and potential energy is one that is unique for a stabilized Earth orbit. The motion of the satellite is controlled by gravitation, which gives the centripetal force to keep it curved along the path around the earth. In this system, the satelliteRead more
The relationship between a satellite’s kinetic energy and potential energy is one that is unique for a stabilized Earth orbit. The motion of the satellite is controlled by gravitation, which gives the centripetal force to keep it curved along the path around the earth.
In this system, the satellite contains two types of energy: one is kinetic due to its motion and the other is potential because of the Earth’s gravitational pull. A prominent result of orbital mechanics is that the kinetic energy of the satellite is always equal in magnitude to half of its potential energy but has opposite signs. This means that the ratio of kinetic energy to potential energy is always 1/2.
This bond ensures the satellite remains in orbit. The total energy of the system is negative, since it is the sum of the kinetic and potential energy, representing the bound state of the satellite. This concept is applicable for circular or elliptical orbits and plays a critical role in explaining the dynamics of satellites. In fact, this explains why the satellites remain stable in their orbits and do not drift away or spiral inward. The balance of these forms of energy is preserved.
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See lessWrite an expression for the kinetic energy of a body rolling without slipping.
The kinetic energy of a rolling body is a combination of translational and rotational. An object that rolls has a linear velocity at its center of mass, as well as rotation about that center. Translational kinetic energy depends on the mass of the object and its velocity. This energy is associated wRead more
The kinetic energy of a rolling body is a combination of translational and rotational. An object that rolls has a linear velocity at its center of mass, as well as rotation about that center. Translational kinetic energy depends on the mass of the object and its velocity. This energy is associated with the motion of the entire body through space.
In addition to translational kinetic energy, the object has rotational kinetic energy because it is rotating about its axis. The amount of rotational energy depends on the moment of inertia of the object, which is a function of the mass distribution and shape of the object and its angular velocity, which is a measure of how fast it is rotating.
When an object rolls without slipping, there is a relationship between its linear velocity and angular velocity. Specifically, the center of mass velocity is directly proportional to the angular velocity of the object. This relationship forms the basis of the understanding for the conservation of energy in rolling motion. Consequently, the total kinetic energy of a rolling body is the sum of its translational and rotational energies, reflecting the movement through space and the rotation about its axis. This total energy is vital in the analysis of the dynamics of rolling objects within different physical settings.
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