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  • Question 1
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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 2
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    A wire in the form of a circular loop of radius \(10cm\) lies with its plane normal to a magnetic field \(100T\). If the wire is pulled to take a square shape in the same plane in time \(0.1 s\), then the emf induced in the loop is given by:

  • Question 3
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    A point charge \(+10 \mu C\) is at a distance of \(5 cm\) directly above the centre of a square of side \(10 cm\), as shown in Fig. What is the magnitude of the electric flux through the square? (Hint: Think of the square as one face of a cube with edge \(10 cm\) ).

  • Question 4
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    ___________ are those which gets strongly magnetised whenplaced in an external magnetic field.

  • Question 5
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    An insulating thin rod of length I has a linear charge density \(\rho(x)=\rho_{0}\left(\frac{x}{l}\right)\) on it. The rod is rotated about an axis passing through the origin \((x=0)\) and perpendicular to the rod. If the rod makes \(\mathrm{n}\) rotations per second, then the time averaged magnetic moment of the rod is-

  • Question 6
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    A nucleus at rest splits into two nuclear parts having radii in the ratio \(1 : 2\). Their velocities are in the ratio:

  • Question 7
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    Two similar thin equi-convex lenses, of focal length \(f\) each, are kept coaxially in contact with each other such that the focal length of the combination is \(F_1\). When the space between the two lenses is filled with glycerine (which has the same refractive index \((\mu=1.5)\) as that of glass) then the equivalent focal length is \(F_2\) - The ratio \(F_1: F_2\) will be:

  • Question 8
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    In the figure below, P and Q are two equally intense coherent sources emitting radiation of wavelength 20 m. The separation between P and Q is 5 m and the phase of P is ahead of that of Q by 90º. A, B and C are three distinct points of observation, each equidistant from the midpoint of PQ. The intensities of radiation at A, B, C will be in the ratio :

  • Question 9
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    The maximum velocity of the photoelectrons emitted from the surface is \(v\) when light of frequency \(n\) falls on a metal surface. If the incidence frequency is increased in \(3 n\). The maximum velocity of the ejected photoelectron will be:

  • Question 10
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    A point charge \(+\mathrm{q}\) is placed at a distance \(\mathrm{d}\)  from an isolated conducting plane. The field at a point \(\mathrm{P}\) on the other side of the plane is:

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