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  • Question 1
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    A battery of emf \(10 \mathrm{~V}\) and internal resistance \(3 \Omega\) is connected to a resistor. If the current in the circuit is \(0.5 \mathrm{~A}\), what is the resistance of the resistor? What is the terminal voltage of the battery when the circuit is closed?

  • Question 2
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    Lenz law is consequence of the law of conservation of:

  • Question 3
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    Which one of the following is not correct statement?

  • Question 4
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    An electromagnetic wave going through vacuum is described by 

    \(E = E _{0} \sin ( kx -\omega t), B = B _{0} \sin ( kx -\omega t)\) Then:

  • Question 5
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    The velocity of a freely falling body depends on \(g^{p} h^{q}\), where \(g\) is acceleration due to gravity and \(h\) is the height. The values of \(p\) and \(q\) are:

  • Question 6
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    A particle moves in a straight line with a retardation proportional to its displacement. Its loss of kinetic energy for any displacement x is proportional to:

  • Question 7
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    An inductor and a capacitor are connected in an A.C. circuit inductance and capacitance are 1 H and 25μF then for maximum current, the angular frequency will be (the circuit is connected in series):

  • Question 8
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    Mayank is doing an experiment in the lab with a bob of mass 10 Kg and a string of 6 m. He tied a string with the laboratory roof and another end with the bob. He then tied another string at 3 m below the roof with the previous one as shown in the figure. Find the tension T1 in the string? g =10 m/s2

  • Question 9
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    According to Kepler's law of motion, the planets orbit around the sun in a/an orbit.

  • Question 10
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    A bullet fired into a fixed target loses half of its velocity after penetrating \(3 {~cm}\). How much further will it penetrate before coming to rest assuming that it faces constant resistance to motion?

  • Question 11
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    Calculate the heat required to convert \(3 \mathrm{~kg}\) of ice at \(-12^{\circ} \mathrm{C}\) kept in a calorimeter to steam at \(100^{\circ} \mathrm{C}\) at atmospheric pressure. Given specific heat capacity of ice \(=2100 \mathrm{~J} \mathrm{~kg}^{-1} \mathrm{~K}^{-1}\), specific heat capacity of water \(=4186 \mathrm{~J} \mathrm{~kg}^{-1} \mathrm{~K}^{-1}\), latent heat of fusion of ice \(=3.35 \times 10^{5}\) J \(\mathrm{kg}^{-1}\) and latent heat of steam \(=2.256 \times 10^{6} \mathrm{~J} \mathrm{~kg}^{-1}\).

  • Question 12
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    A free electron is placed in the path of a plane electromagnetic wave. The electron will start moving:

  • Question 13
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    A silicon diode has a threshold voltage of \(0.7 \mathrm{~V}\). If an input voltage, given by \(2 \sin (\pi \mathrm{t})\), is supplied to a half-wave rectifier circuit using this diode, the rectified output has a peak value of:

  • Question 14
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    Vector A has a magnitude of 10 units and makes an angle of 30° with the positive \(x\)−axis. Vector B has a magnitude of 20 units and makes an angle of 30° with the negative \(x\)−axis. What is the magnitude of the resultant between these two vectors?

  • Question 15
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    A point charge \(+10 \mu C\) is a distance \(5 \mathrm{~cm}\) directly above the centre of a square of side \(10 \mathrm{~cm}\), as shown in the figure. What is the magnitude of the electric flux through the square?

    (Hint: Think of the square as one face of a cube with edge \(10 \mathrm{~cm}\).)

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