Total reflecting prism are right angled isosceles prisms. Explain.

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A total reflecting prism is a prism made of a high refractive index material such as glass or plastic, with one of the faces coated with a highly reflective material such as aluminum or silver. When light enters the prism, it is totally reflected at the coated face and exits the prism through the other face, without any refraction or transmission.

A right-angled isosceles prism is a prism with a triangular cross-section, where two of the sides are of equal length, and the third side is perpendicular to them. The angles between the sides are 45 degrees and 90 degrees.

A total reflecting prism can be made by using a right-angled isosceles prism and coating the hypotenuse face with a highly reflective material. When light enters the prism at an angle greater than the critical angle, it is totally reflected at the hypotenuse face and exits the prism through the other face, without any loss of energy due to transmission or absorption.

The critical angle is the angle of incidence at which the refracted angle becomes 90 degrees. For a right-angled isosceles prism, the critical angle can be calculated using Snell's law and the geometry of the prism. The critical angle depends on the refractive index of the prism material and the angle of incidence of the light.

Total reflecting prisms have many applications in optics, such as in binoculars, cameras, and laser devices. They are used to direct light without any loss of energy, to change the direction of light, and to create optical illusions.

right angled isosceles prism

Right-angled Isosceles Prism

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CBSE CLASS XII Related Questions

  • 1.

    A circular coil of 100 turns and radius $\left(\frac{10}{\sqrt{\pi}}\right)$ cm carrying current of $5.0\,\text{A}$ is suspended vertically in a uniform horizontal magnetic field of $2.0\,\text{T}$. The field makes an angle $30^\circ$ with the normal to the coil. Calculate:

    (I) the magnetic dipole moment of the coil, and

    (II) the magnitude of the counter torque that must be applied to prevent the coil from turning.


      • 2.
        A wire of length \(L\) is bent round into (i) a square coil having \(N\) turns and (ii) a circular coil having \(N\) turns. The coil in both cases is free to turn about a vertical axis coinciding with the plane of the coil, in a uniform, horizontal magnetic field and carry the same currents. Find the ratio of the maximum value of the torque acting on the square coil to that on the circular coil.


          • 3.

            A magnet held vertically, with its north pole down, is dropped along the axis of a closed solenoid placed vertically on a table. If the observer looks down from the top,

              • the induced current will flow in the anticlockwise direction.
              • the induced current will flow in the clockwise direction.
              • no induced current will flow in the solenoid.
              • the magnet will fall with a constant velocity.

            • 4.

              A parallel beam of monochromatic light falls normally on a single slit of width $a$ and a diffraction pattern is observed on a screen placed at distance $D$ from the slit. Explain:

              (I) the formation of maxima and minima in the diffraction pattern, and

              (II) why the maxima go on becoming weaker and weaker with its increasing number $n$.


                • 5.
                  Two point charges -Q and Q are located at points (d, 0) and (0, d) respectively, in x-y plane. The electric field E at the origin will be:

                    • \(\frac{1}{4\pi\epsilon_0} \frac{\sqrt{2}Q}{d^2} (\hat{i} - \hat{j})\)
                    • \(\frac{1}{4\pi\epsilon_0} \frac{\sqrt{2}Q}{d^2} (-\hat{i} - \hat{j})\)
                    • \(\frac{1}{4\pi\epsilon_0} \frac{Q}{d^2} (\hat{i} - \hat{j})\)
                    • \(\frac{1}{4\pi\epsilon_0} \frac{Q}{d^2} (-\hat{i} - \hat{j})\)

                  • 6.
                    Draw the plot of potential energy of a pair of nucleons as a function of their separation. Write two important conclusions that can be drawn from this plot.

                      CBSE CLASS XII Previous Year Papers

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