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[" (8) Let "8" ,and "varepsilon," be the...

[" (8) Let "8" ,and "varepsilon," be the angles made by "A" and "-A" with the "],[" pasitive "X" axis.Show that tany,= ther,Thus,giving "],[" iane does not miquely determine the dircetion of "A" ."]

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Let epsilon_1 and epsilon_2 be the angles made by vecA and -vecA with the positive X-axis. Show that tanepsilon_1 = tanepsilon_2 . Thus giving tanepsilon does not uniquely determine of vecA .

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The given figure shows the position of a medium particle at t=0, supporting a simple harmonic wave travelling either along or opposite to the positive x-axis. (a) write down the equation of the curve. (b) find the angle theta made by the tangent at point P with the x-axis. (c ) If the particle at P has a velocity v_(p) m//s , in the negative y-direction, as shown in figure, then determine the speed and direction of the wave. (d) find the frequency of the wave. (e) find the displacement equation of the particle at the origin as a function of time. (f) find the displacement equation of the wave.

shows the position of a medium particle at t=0, supporting a simple harmonic wave travelling either along or opposite to the positive x-axis. (a) write down the equation of the curve. (b) find the angle theta made by the tangent at point P with the x-axis. (c ) If the particle at P has a velocity v_(p) m//s , in the negative y-direction, as shown in figure, then determine the speed and direction of the wave. (d) find the frequency of the wave. (e) find the displacement equation of the particle at the origin as a function of time. (f) find the displacement equation of the wave.

A graph of electric current along the y-axis and potential difference along the x-axis gives a straight line passing through the origin. What does the slope determine?

Figure shows a sphere moving in a steady flow of air in the x -direction on a horizontal plane.The air stream exerts an essentially constant acceleration 1.8 m//sec^(2) on the sphere in the x -direction.If at t=0 the sphere is moving as shown in figure, determine the time t required for the sphere to cross the y -axis again.

An ideal gas is subjected to the following changes. Answer the following questions: (a) A curve showing the dependence of pressure on absolute temperature was obtained for a certain gas. Does compression or expansion takes place when the gas is being heated [constant moles]? {:("Code","Process"),(1,"Compression"),(2,"Expansion"):} (b) Use the volume temperature curve to find graphically the nature of change in the pressure of a gas during heating [constant moles.] {:("Code","Process"),(3,"Increases"),(4,"Decreases"),(5,"Remains constant"):} (c) The piston in a gas filled cylinder is lossely fitted aganist the wall of the cylinder and can slowly let the gas go past it. The volume temperature curve for the gas at constant pressure has the form shown in the figure. Use this curve to determine whether the amount of gas in the cylinder has increased or decreased. {:("Code","Amount of Gas"),(6,"Increases"),(7,"Decreases"),(8,"Remains constant"):} Write your answer as "abc", for example if your answer is code: 1,4,8 the, write your answer as 148.

Shows a conducitng loop abcdefa made of six segment ab, bc cd, de, ef and fa, each of length l. Each segment makes a right angle with the next so that abc is in the x-z plane, cda in the x-y plane and efa is in the y-z plane. A uniform magnetic field B exists along the x- axis. If the magnetic field changes at a rate (dB)/(dt), find the emf induced in the loop.

shows a conducitng loop abcdefa made of six segment ab, bc cd, de, ef and fa, each of length l. Each segment makes a right angle with the next so that abc is in the x-z plane, cda in the x-y plane and efa is in the y-z plane. A uniform magnetic field B exists along the x- axis. If the magnetic field changes at a rate (dB)/(dt), find the emf induced in the loop.