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हम आपके सपनो को साकार करेंगे III
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A pane electromagnetic wave travelling along the positive x-direction has a wavelength of 3mm . The variation in the electric field occurs in the y – direction with an amplitude 66 V/m . The equations for the electric and magnetic fields as a function of x and t are respectively . 𝐸_𝑦 = 66 cos 𝜋 x 〖10〗^11(t - 𝑥/𝑐 ) , 𝐵_𝑧 = 1.1x 〖10〗^(−7) cos 𝜋 x 〖10〗^11(t - 𝑥/𝑐 ) 𝐸_𝑦 =11 cos 2𝜋 x 〖10〗^11(t - 𝑥/𝑐 ) , 𝐵_𝑦 = 11x 〖10〗^(−7) cos 2𝜋 x 〖10〗^11(t - 𝑥/𝑐 ) 𝐸_𝑥 = 66 cos 𝜋 x 〖10〗^11(t - 𝑥/𝑐 ) , 𝐵_𝑥 = 2.2 x 〖10〗^(−7) cos 𝜋 x 〖10〗^11(t - 𝑥/𝑐 ) 𝐸_𝑦 = 66 cos 2𝜋 x 〖10〗^11(t - 𝑥/𝑐 ) , 𝐵_𝑧 = 2.2 x 〖10〗^(−7) cos 2𝜋 x 〖10〗^11(t - 𝑥/𝑐 )
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The χ - 1/𝑇 graph for an alloy of paramagnetic nature is shown in fig . The curie constant is nearly 57k 2.8 X 〖10〗^(−3) k 570k 17.5 x 〖10〗^(−3) k
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Assertion : A current I flows along the length of an infinitely long straight and thin walled pipe . Then the magnetic field at any point inside the pipe is zero Reason : ∮1▒〖(𝐵.) ⃗(𝑑𝑙.) ⃗ 〗 = 〖𝜇" " 〗_𝑜 I Read the assertion and reason carefully to mark the correct option out of the options given below : Both assertion and reason are true and the reason is the correct explanation of the assertion Both assertion and reason are true but reason is not the correct explanation of the assertion Assertion is true but reason is false Assertion and reason both are false
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Three large plates are arranged as shown . How much charge will flow through the key when it is closed ? A) 5𝑄/6 B) 4𝑄/3 C) 3𝑄/2 D)Q
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A particle free to move along the x-axis has potential energy given by U(x) = K(1-〖 𝑒〗^(−𝑥^2 )) for −∞ ≤x≤ +∞ where k is a positive constant of appropriate dimensions . Then At point away from the origin ,the particle is in unstable equilibrium For any finite non zero value of x , there is a force directed away from the origin If its total mechanical energy is k/2 , then kinetic energy at the origin is k For small displacements from x=0 the motion is simple harmonic
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Two rigid boxes containing different ideal gases are placed on a table . Box A contains one mole of nitrogen at temperature 𝑇_𝑜 , while box B contains one mole of helium at temperature 7/3 𝑇_𝑜 . The boxes are then put into thermal contact with each other and heat flows between them until the gases reach a common final temperature (ignore the heat capacity of boxes and heat exchange will happen only between boxes ) . Then the final temperature of the gases in terms of 𝑇_𝑜 is 7/3 𝑇_𝑜 3/2 𝑇_𝑜 5/2 𝑇_𝑜 3/7 𝑇_𝑜
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Two moles of ideal helium gas are in a rubber balloon at 30°C . The balloon is fully expandable and can be assumed to required no energy in its expansion . The temperature of the gas in the balloon is slowly changed to 35℃ . The amount of heat required in raising the temperature is nearly (take R=8.31 j/mol.K ) 62 J 104J 125J 208J
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