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  • Question 1
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    In the circuit shown in the figure, the input voltage \(\mathrm{V_{i}}\) is \(20 \mathrm{~V}, \mathrm{~V}_{\mathrm{BE}}=0\) and \(\mathrm{V}_{\mathrm{CE}}=0 .\) The values of \(\mathrm{I_{B}, I_{C}}\) and \(\beta\) are given by:
     

  • Question 2
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    Mass spectroscopy is performed ____________ for a sample.

  • Question 3
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    A cricket bat is cut at the location of its center of mass as shown. Then,

  • Question 4
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    A pole is vertically submerged in swimming pool, such that it gives a length of shadow \(2.15 \mathrm{~m}\) within water when sunlight is incident at an angle of \(30^{\circ}\) with the surface of water. If swimming pool is filled to a height of \(1.5 \mathrm{~m}\), then the height of the pole above the water surface in centimeters is \(\left(\mathrm{n}_{\mathrm{w}}=4 / 3\right)\)_____________.

  • Question 5
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    In the relation \(p=\frac{\alpha}{\beta} \mathrm{e}^{-\frac{\alpha z}{k \theta}}, p\) is the pressure, \(z\) the distance, \(k\) is Boltzmann constant and \(\theta\) is the temperature, the dimensional formula of \(\beta\) will be:

  • Question 6
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    The figure below shows three identical springs A, B, and C. When a \(4\; kg\) mass is hung on A, it descends by \(1 \;cm\). When a \(6\; kg\) mass is hung on C, it will descend by:

  • Question 7
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    Two batteries A and B connected in given circuit have equal emfs E and internal resistances r1 and r2, respectively (r1 > r2).

    The switch S is closed at t = 0. After a long time, it was found that terminal potential difference across battery A is zero. Find the value of R.

  • Question 8
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    Two satellites of Earth, S1and S2, are moving in the same orbit. The mass of S1 is four times the mass of S2. Which of the following statements is true?

  • Question 9
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    A stainless steel chamber contains Ar gas at a temperature \(T\) and pressures \(P\). The total number of Ar atoms in the chamber is \(n\). Now Ar gas in the chamber is replaced by \(CO _{2}\) gas and the total number of \(CO _{2}\) molecules in the chamber is \(\frac{n}{2}\) at the same temperature \(T\). The pressure in the chamber now is \(P ^{\prime}\). Which one of the following relations holds true? (Both the gases behave as ideal gases.)

  • Question 10
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    A liquid flows through pipes of different diameters. Velocity of liquid is \(2\)\(\mathrm{ms}^{-1}\).At the point where the diameter of the pipe is \(6\) cm.The velocity of liquid at a point where the diameter of the pipe is\(3\) cm will be

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