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  • Question 1
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    Displacement \((x)\) of a particle is related to time \((t)\) as \(x=a t+b t^{2}-c t^{3},\) where \(a, b\) and \(c\) are constants of motion. The velocity of the particle, when its acceleration is zero, is given by:

  • Question 2
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    The temperature of equal masses of three different liquids \(x, y\) and \(\mathrm{z}\) are \(10^{\circ} \mathrm{C}, 20^{\circ} \mathrm{C}\) and \(30^{\circ} \mathrm{C}\), respectively. The temperature of mixture when \(\mathrm{x}\) is mixed with \(\mathrm{y}\) is \(16^{\circ} \mathrm{C}\) and that when \(\mathrm{y}\) is mixed with \(\mathrm{z}\) is \(26^{\circ} \mathrm{C}\). The temperature of mixture when \(\mathrm{x}\) and \(\mathrm{z}\) are mixed will be:

  • Question 3
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    The Electromagnetic Waves are:

  • Question 4
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    An electric dipole is placed at an angle of \(60^{\circ}\) with an electric field of intensity \(10^{5} \mathrm{NC}^{-1}\). It experiences a torque equal to \(8 \sqrt{3} \mathrm{Nm}\). If the dipole length is \(2 \mathrm{~cm}\) then the charge on the dipole is c.

  • Question 5
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    Electrical Inertia is the measure of:

  • Question 6
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    Calculate the force between an alpha particle and a proton separated by \(5.12 \times 10^{-15} \) m.

  • Question 7
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    The length of a simple pendulum is increased then the time period will:

  • Question 8
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    A cricket bat is cut at the location of its centre of mass as shown. Then,

  • Question 9
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    A person can see clearly only upto a distance of \(25 \mathrm{~cm}\). He wants to read a book placed at a distance of \(50 \mathrm{~cm}\) from his eyes. What is the power of the lens of his spectacles?

  • Question 10
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    Unpolarised light is incident from air on a plane surface of a material of refractive index \('\mu'\). At a particular angle of incidence \('i'\), it is found that the reflected and refracted rays are perpendicular to each other. Which of the following options is correct for this situation?

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