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  • Question 1
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    In a potentiometer, for a cell of emf \(1.5 {~V}\), the balance point is obtained at \(42.0 {~cm}\) length. If the cell is replaced by another cell, the balance point is obtained at \(63.0 {~cm}\) length. Find the emf of the second cell.

  • Question 2
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    A motor having an armature of resistance \(2 \Omega\) is designed to operate at \(220 ~V\) mains. At full speed, it develops a back emf of \(210 ~V\). What is the current in the armature when the motor is running at full speed?

  • Question 3
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    A particle of mass m is moving along the x-axis such that its velocity is given by \(v=k \sqrt{x}\). The work done by the force during the first t seconds is:

  • Question 4
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    Two wires of same length and radius are joined end to end and loaded. The Young's modulii of the materials of the two wires are \(Y_1\) and \(Y_2\). The combination behaves as a single wire then its Young's modulus is :

  • Question 5
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    Unit of magnetic flux is:

  • Question 6
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    A swimmer can swim in still water with the speed of \(5 m s^{-1} .\) While crossing a river his average speed is \(3 m s^{-1}\). If he crosses the river in the shortest possible time, what is the speed of the flow of water?

  • Question 7
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    A Proton and an alpha particle both are accelerated through the same potential difference. The ratio of corresponding de-Broglie wavelengths is:

  • Question 8
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    Which of the following statements is true/false regarding charged particle?

    A. An ion is a charged particle and can be negatively or positively charged. A negatively charged ion is called an anion and a positively charged ion, a cation

    B. An ion is a charged particle and can be negative or positively charged. A negatively charged ion is called a cation. And a positively charged ion, an anion.

  • Question 9
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    Two blocks of masses \(1 k g\) and \(2 k g\) are connected by a metal wire going over a smooth pulley. The breaking stress of metal is \(\frac{40}{3 \pi} \times 10^{6} N m^{-2} .\) What should be the minimum radius of wire used if it should not break? \(\left(g=10 m s^{-2}\right)\)

  • Question 10
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    If a simple pendulum is taken to a place where g decreases by \(2 \%\) then the time period:

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