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  • Question 1
    4 / -1

    The galvanometer deflection, when key \({K}_{1}\) is closed but \({K}_{2}\) is open, equals \(\theta_{0}\) (see figure). On closing \({K}_{2}\) also and adjusting \({R}_{2}\) to \(5 \Omega,\) the deflection in galvanometer becomes \(\frac{\theta_{0}}{5} .\) The resistance of the galvanometer is, then, given by [Neglect the internal resistance of battery]:

  • Question 2
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    Due to an acceleration of \(2 \mathrm{~m} / \mathrm{s}^{2}\), the velocity of a body increases from \(20\) \(\mathrm{m} / \mathrm{s}\) to \(30 \mathrm{~m} / \mathrm{s}\) in a certain period. Find the displacement (in \(\mathrm{m}\) ) of the body in that period.

  • Question 3
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    The empty space between the plates of a capacitor is filled by a liquid of dielectric constant K, the capacitance of capacitor:

  • Question 4
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    A wooden box of mass \(0.2\) kg is suspended from the ceiling by a light string. A second wooden box of mass \(0.3\) kg is suspended from the first box by another string. Find the tensions in both the strings. Take \(g=10\) m/s.

  • Question 5
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    A modulated signal \(\mathrm{C}_{\mathrm{m}}(\mathrm{t})\) has the form \(\mathrm{C}_{\mathrm{m}}(\mathrm{t})=30 \sin 300 \pi \mathrm{t}+10(\cos 200 \pi \mathrm{t}-\cos 400 \pi \mathrm{t})\)The carrier frequency \(c\), the modulating frequency (message frequency) \(\mathrm{f}_{\omega}\), and the modulation index \(\mu\) are respectively given by:

  • Question 6
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    When a beam of light passes through a prism, which of the following color(s) deviates more?

  • Question 7
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    Where does a body has the maximum weight?

  • Question 8
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    The motion of a body in \(x-y\) plane is represented by \(x=4-9 t\) and \(y=t^{2}\) where \(x, y\) are in metre. Find the magnitude of its absolute velocity on \(t=6\) sec.

  • Question 9
    4 / -1

    Two particles \(A\) and \(B\) have a phase difference of \(\pi\) when a sine wave passes through the region.

    (I) \(A\) oscillates at half the frequency of \(B\)

    (II) \(A\) and \(B\) move in opposite directions.

    (III) \(A\) and \(B\) must be separated by half of the wavelength.

    (IV) The displacements at \(A\) and \(A\) have equal magnitudes

    Select the correct option:

  • Question 10
    4 / -1

    One oscillation of a swinging pendulum occurs when the bob moves from X to Y and back to X again.

    Which of the following method would be the most accurate way to measure the time for one oscillation of the pendulum using a stopwatch?

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