A battery of emf \(10~\text V\) and internal resistance of \(0.5~\Omega\) is connected across a variable resistance \(R.\) The maximum value of \(R\) is given by:
A point source of light is placed \(4~\mathrm{m}\) below the surface of the water of refractive index \(\frac{5}{3}.\) The minimum diameter of a disc that should be placed over the source on the surface of the water to cut off all light coming out of the water is:
A moving body of mass \(m\) and velocity \(3\) km/h collides with a rest body of mass \(3\) m and stick to it. Now the combined mass starts to move. What will be the combined velocity?
1. \(4\) km/h
2. \(1\) km/h
3. \(2\) km/h
4. \(3\) km/h
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Subtopic: Collisions |
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A transverse wave is represented by the equation; \(y=y_0~\text{sin}\dfrac{2\pi}{\lambda}(vt-x).\)
For what value of the wavelength, \(\lambda,\) does the maximum particle velocity become twice the wave velocity?
1.
\(\lambda=\pi y_0\)
2.
\(\lambda=\dfrac{\pi y_0}{2}\)
3.
\(\lambda=\dfrac{\pi y_0}{3}\)
4.
\(\lambda=2\pi y_0\)
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Subtopic: Types of Waves |
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Ionization potential of hydrogen atom is \(13.6\) eV. Hydrogen atoms on the ground state are rarely excited by monochromatic radiation of photon \(12.1\) eV. The special line emitted by a hydrogen atom according to Bohr’s theory will be:
1. one
2. two
3. three
4. four
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Subtopic: Bohr's Model of Atom |
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The internal resistance of a primary cell is 4 \(\Omega.\) It generates a current of 0.2 A in an external resistance of 21 \(\Omega.\) The rate at which chemical energy to consumed in providing current is:
1. 1 J/s
2. 5 J/s
3. 0.42 J/s
4. 0.8 J/s
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Subtopic: Heating Effects of Current |
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Two rigid bodies \(A\) and \(B\) rotate with rotational kinetic-energies \(E_A\) and \(E_B\) respectively. The moments of inertia of \(A\) and \(B\) about the axis of rotation are \(I_A\) and \(I_B\) respectively. If \(I_A=\frac{I_B}{4}\) and \(E_A=100=E_0,\) the ratio of angular momentum \((L_A)\) of \(A\) to the angular momentum \((L_B)\) of \(B\) is:
1. \(25\)
2. \(5/4\)
3. \(5\)
4. \(1/4\)
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Subtopic: Angular Momentum |
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