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  • Question 1
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    The electron in a hydrogen atom makes a transition of \(n_1\) to \(n_2\), where \(n_1\) and \(n _2\) are the principal quantum number of the two states. The time period of the electron in the initial state is eight times that in the final state. Then according to Bohr's atomic model, the possible value of \(n _1\) and \(n _2\) are:

  • Question 2
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    In the series L−C−R circuit shown, the impedance is:


  • Question 3
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    The thermal conductivities of brick and pine word are, respectively 0.6 and 0.13 W/(m.°C). What thickness of brick has the same insulating ability at 5 cm of pine?

  • Question 4
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    Direction: In the given figure, a hollow spherical capacitor is shown. The electric field will not be zero at


  • Question 5
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    A transformer is used to light a 100 W and 110 V lamp from a 220 V mains. If the current is 0.5 amp, the efficiency of the transformer is approximate:

  • Question 6
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    Speed of sound at constant temperature depends on ______.

  • Question 7
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    It is observed that only \(6.25 \%\) of a given radioactive sample is left undecayed after a period of \(16\) days. What is the decay constant of this sample in days\(^{-1}\)?

  • Question 8
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    A mass m moves with a velocity \(v\) and collides inelastically with another identical mass. After the collision, the first mass moves with velocity \(\frac{v}{\sqrt{3}}\) in a direction perpendicular to the initial direction of motion. Find the speed of the second mass after the collision.

  • Question 9
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    Moment of inertia of an equilateral triangular lamina \(A B C\), about the axis passing through its centre \(O\) and perpendicular to its plane is \(I_{0}\) as shown in the figure. A cavity DEF is cut out from the lamina, where \(D, E\) and \(F\) are the mid points of the sides. Moment of inertia of the remaining part of lamina about the same axis is:

  • Question 10
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    The ionization energy of hydrogen atom in excited state is:

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