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  • Question 1
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    The resistance \(R=\frac V I\) where \(V=(100 \pm 5) \mathrm{V}\) and \(I=(10 \pm 0.2) \mathrm{A}\). Find the percentage error in \(R\).

  • Question 2
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    Which of the following statement is correct regarding S.H.M?

  • Question 3
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    Which of the following substances has the least thermal conductivity?

  • Question 4
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    Which of the following statement is correct?

  • Question 5
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    Hooke's law states that within the elastic limit ________ is proportional to strain.

  • Question 6
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    In the circuit shown in the figure, the total charge is \(750 \mu \mathrm{C}\) and the voltage across capacitor \(\mathrm{C}_2\) is \(20 \mathrm{~V}\). Then the charge on capacitor \(\mathrm{C}_2\) is :

  • Question 7
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    A piece of glass of mass 100 g heated at \(350^{\circ}\) C is placed in 1 kg of water at \(23.6^{\circ}\) C. What is the final recorded temperature of the system? (The specific heat capacity of the glass = 0.8 J/g\(^{\circ}\) C and specific heat capacity of water = 4.0 J/g\(^{\circ}\) C).

  • Question 8
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    Two solenoids having lengths L and 2L and the number of loops N and 4N, both have the same current, then the ratio of the magnetic field will be:

  • Question 9
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    A nucleus with mass number 184 initially at rest emits an \(\alpha\) particle. If the \(\mathrm{Q}\) value of the reaction is \(5.5 \mathrm{M} \mathrm{eV}\), calculate the kinetic energy of the \(\alpha\) - particle.

  • Question 10
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    Four identical hollow cylindrical columns of mild steel support a big structure of mass \(50 \times 10^3 kg\). The inner and outer radii of each column are \(50 cm\) and \(100 cm\), respectively. Assuming, uniform local distribution, calculate the compression strain of each column.

    [Use, \(Y =2.0 \times 10^{11} Pa , g=9.8 m / s ^2\) ]. 

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