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  • Question 1
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    Two waves represented by \(\mathrm{y}_{1}=10 \sin (2000 \pi \mathrm{t})\) and \(\mathrm{y}_{2}=10 \sin (2000 \pi \mathrm{t}+\pi / 2)\) are superimposed at any point at a particular instant. The resultant amplitude is:

  • Question 2
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    Two coherent waves are \(y_{1}=a \cos (\omega t)\) and \(y_{2}=2 a \cos (\omega t)\). If the two waves undergo constructive interference, then the resultant amplitude will be:

  • Question 3
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    A circuit has a section \({AB}\) as shown in figure. The emf of the source equals \({E}=10 {~V}\), the capacitor capacitances are equal to \({C}_{1}=1.0 \mu {F}\) and \({C}_{2}=2.0 \mu {F}\) and the potential difference \({V}_{{A}}-{V}_{{B}}=5.0 {~V}\). Find the voltage across each capacitor.

  • Question 4
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    A balloon is rising with a velocity of 10 m/s. When it is at a height of 40 m above the earth, a packet is dropped from it. By what time it will take to reach the ground?

  • Question 5
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    A circular coil of radius \(10 ~cm, 500\) turns and resistance \(2 \Omega\) is placed with its plane perpendicular to the horizontal component of the earth's magnetic field. It is rotated about its vertical diameter through \(180^{\circ}\) in \(0.25 ~s\). Estimate the magnitudes of the emf and current induced in the coil. Horizontal component of the earth's magnetic field at the place is \(3.0 \times 10^{-5} ~T\):

  • Question 6
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    A particle moves on the circumference of a circle of radius r. Starting from one point particle reaches its diametric end in time t. The magnitude of the average velocity of the particle is:

  • Question 7
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    On giving 220 V to a resistor the power dissipated is 40 watt, then the value of resistance is:

  • Question 8
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    What is the magnitude of emf induced in a \(200\) turn coil with cross-sectional area of \(0.16\) m\(2\), if the magnetic field through the coil changes from \(0.1\) Wb/m\(2\) to \(0.5\) Wb/m\(2\) at a uniform rate over a period of \(0.02\) seconds?

  • Question 9
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    A moving coil galvanometer can be converted into a ammeter by connecting ___________ to the moving coil galvanometer.

  • Question 10
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    Two planets orbit the Sun in circular orbits, with their radius of orbit as \(\mathrm{R}_{1}=\mathrm{R}\) and \(\mathrm{R}_{2}=4 R\). Ratio of their periods \(\left(\frac{T_{1} }{ T_{2}}\right)\) around the Sun will be:

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