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A light ray entering a right-angled prism undergoes refraction at the face AC as shown in Figure
(I) What is the refractive index of the material of the prism in Figure?
(II) (a) If the side AC of the above prism is now surrounded by a liquid of refractive index $\frac{2}{\sqrt{3}}$ as shown in Figure, determine if the light ray continues to graze along the interface AC or undergoes total internal reflection or undergoes refraction into the liquid.
(b) Draw the ray diagram to represent the path followed by the incident ray with the corresponding angle values.
(Given, $\sin ^{-1}\left(\frac{\sqrt{2}}{\sqrt{3}}\right)=54.6^{\circ}$ )
→(I) What is the refractive index of the material of the prism in Figure?
(II) (a) If the side AC of the above prism is now surrounded by a liquid of refractive index $\frac{2}{\sqrt{3}}$ as shown in Figure, determine if the light ray continues to graze along the interface AC or undergoes total internal reflection or undergoes refraction into the liquid.
(b) Draw the ray diagram to represent the path followed by the incident ray with the corresponding angle values.
(Given, $\sin ^{-1}\left(\frac{\sqrt{2}}{\sqrt{3}}\right)=54.6^{\circ}$ )
A horizontal straight wire 10m long extending from east to west is falling with a speed of 5.0ms–1, at right angles to the horizontal component of the earth’s magnetic field, 0.30 × 10–4Wbm–2.
- What is the instantaneous value of the emf induced in the wire?
- What is the direction of the emf?
- Which end of the wire is at the higher electrical potential?
Get the electric field due to a uniformly charged thin spherical shell.
You are given three lenses L1, L2 and L3 each of focal length 20 cm. An object is kept at 40 cm in front of L1, as shown. The final real image is formed at the focus I of L3. Find the separations between L1, L2 and L3.
Three identical metal plates with large surface areas are kept parallel to each other as shown in figure. The leftmost plate is given a charge Q, the rightmost a charge -2Q and the middle one remains neutral. Find the charge appearing on the outer surface of the rightmost plate.
Calculate the temperature at which the resistance of a conductor becomes 20% more than its resistance at 27°C. The value of the temperature coefficient of resistance of the conductor is $2.0 \times 10\frac{-4}{\text{K}}.$
→Two concentric circular coils, one of small radius $r_1$ and the other of large radius $r_2$, such that $r_1 \ll r_2$, are placed co-axially with centres coinciding. Obtain the mutual inductance of the arrangement.
→A narrow beam of light passes through a slab obliquely and is then received by an eye. The index of refraction of the material in the slab fluctuates slowly with time. How will it appear to the eye? The twinkling of stars has a similar explanation.
A tank is filled with water to a height of 12.5 cm. The apparent depth of a needle lying at the bottom of the tank is measured by a microscope to be 9.4 cm. What is the refractive index of water? If water is replaced by a liquid of refractive index 1.63 up to the same height, by what distance would the microscope have to be moved to focus on the needle again?
Two small bodies of masses 10kg and 20kg are kept a distance 1.0m apart and released, Assuming that only mutual gravitational forces are acting, find the speeds of the particles when the separation decreases to 0.5m.