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A quarter wave plate introduces a path difference of 𝜆/4 between the two components of polarization parallel and perpendicular to the optic axis. An electromagnetic wave with 𝐸⃗ =(𝑥̂+𝑦̂) 𝐸0 𝑒𝑖(𝑘𝑧−𝜔𝑡) is incident normally on a quarter wave plate which has its optic axis making an angle 135° with the 𝑥-axis as shown.0 AnswerA quarter wave plate introduces a path difference of 𝜆/4 between the two components of polarization parallel and perpendicular to the optic axis. An electromagnetic wave with 𝐸⃗ =(𝑥̂+𝑦̂) 𝐸0 𝑒𝑖(𝑘𝑧−𝜔𝑡) is incident normally on a quarter wave plate which has its optic axis making an angle 135° with the 𝑥-axis as shown.1 AnswerThe electric field of an electromagnetic wave is given by E⃗ = 3 sin(kz − ωt) x̂ + 4 cos(kz − ωt) ŷ. The wave is (A) linearly polarized at an angle tan−1 ( 4/3 ) from the x-axis (B) linearly polarized at an angle tan−1 ( 3/4 ) from the x-axis (C) elliptically polarized in clockwise direction when seen travelling towards the observer (D) elliptically polarized in counter-clockwise direction when seen travelling towards the observer0 AnswerAn oblique shock wave with a wave angle β is generated from a wedge angle of θ GATE-Aerospace Engineering-Question-20121 AnswerA long straight wire, having radius 𝑎 and resistance per unit length 𝑟, carries a current 𝐼. The magnitude and direction of the Poynting vector on the surface of the wire is2 AnswerIdentify the CORRECT sequence of the electromagnetic waves in their increasing frequency -gate Geology & Geophysics 2017 1 AnswerA wave progresses up an estuary of decreasing water depth. If friction is neglected, then1 AnswerThe electric field of a uniform plane electromagnetic wave is -GATE EC 20151 AnswerThe electric field of an electromagnetic wave in vacuum is given by E⃗ = E0 cos(3y + 4z − 1.5 × 10^9 t) x̂. The wave is reflected from the z = 0 surface. If the pressure exerted on the surface is αε0E0^2 , the value of α (rounded off to one decimal place) is ___________0 Answer Interlimb angle and shape of a fold is best studied in a -gate Geology & Geophysics 2017 1 AnswerLet the signal f t 0 outside the interval T ,T , where T and T 1 2 1 2 are finite. -GATE EC 20151 AnswerA uniform circular disc of mass 𝑚 and radius 𝑅 is rotating with angular speed 𝜔 about an axis passing through its center and making an angle 𝜃=30∘ with the axis of the disc. If the kinetic energy of the disc is 𝛼𝑚𝜔2𝑅2, the value of 𝛼 is ________ (up to 2 decimal places).1 AnswerWhat is the electric flux (∫ E⃗ ∙ dâ) through a quarter-cylinder of height H (as shown in the figure) due to an infinitely long line charge along the axis of the cylinder with a charge density of Q ?0 AnswerA plane electromagnetic (EM) wave travelling vertically downwards with a frequency of 1000 Hz in a homogeneous medium has a skin depth of 100 m. The ratio of the amplitude of the EM wave at a depth of 75 m with respect to the amplitude at the Earth’s surface is ___________.0 AnswerA student traces the path of a ray of light through a triangular glass prism for different values of angle of incidence. On analyzing the ray diagrams, which one of the following conclusions is he likely to draw? CBSE- class10- Science 20151 AnswerThe equation of a straight line which cuts off an intercept of 5 units on the negative direction of the y-axis and makes an angle 120⁰ with the positive direction of the x-axis is0 AnswerA n ideal square wave with period of 20 ms shown in the figure, is passed through an ideal low pass filter with cut-off frequency 120 Hz. Which of the following is an accurate description of the output?1 AnswerT he distance (in meters) a wave has to propagate in a medium having a skin depth of 0.1 m so that the amplitude of the wave attenuates by 20 dB, is1 AnswerAn infinitely long thin cylindrical shell has its axis coinciding with the z-axis. It carries a surface charge density σ0cosφ, where φ is the polar angle and σ0 is a constant. The magnitude of the electric field inside the cylinder is:0 AnswerA sphere (diameter 50 mm) is placed centrally on the top hexagonal face of a hexagonal prism (base edge 30 mm and height 40 mm). Two base edges of the prism are parallel to V.P. The common axis is perpendicular to H.P. Draw the isometric projection of the combination of solids. Show the common axis and indicate the direction of viewing. Give all dimensions. (ENGG-GRAPHICS-CBSE-12-2018)1 Answer
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