A parallel plate condenser is filled with two dielectrics as shown in the figure. The area of each plate is \(A~\text m^2\) and the separation is \(d\) meter. The dielectric constants are \(K_1\) and \(K_2\) respectively. Its capacitance in farad will be:
1. \(\frac{2\varepsilon_{_0}A}{d}\Big(\frac{K_1+K_2}{K_1K_2}\Big)\)
2. \(\frac{2\varepsilon_{_0}A}{d}\Big(\frac{K_1K_2}{K_1+K_2}\Big)\)
3. \(\frac{\varepsilon_{_0}A}{d}\Big(\frac{K_1+K_2}{2K_1K_2}\Big)\)
4. \(\frac{\varepsilon_{_0}AK_1K_2}{2(d_2K_1+d_1K_2)}\)
1. \(\frac{2\varepsilon_{_0}A}{d}\Big(\frac{K_1+K_2}{K_1K_2}\Big)\)
2. \(\frac{2\varepsilon_{_0}A}{d}\Big(\frac{K_1K_2}{K_1+K_2}\Big)\)
3. \(\frac{\varepsilon_{_0}A}{d}\Big(\frac{K_1+K_2}{2K_1K_2}\Big)\)
4. \(\frac{\varepsilon_{_0}AK_1K_2}{2(d_2K_1+d_1K_2)}\)
Subtopic: Dielectrics in Capacitors |
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A luminous object is placed at a distance of 30 cm from the convex lens of focal length 20 cm. On the other side of the lens, at what distance from the lens can a convex mirror of radius of curvature 10 cm be placed in order to have an upright image of the object coincident with it?
1. 30 cm
2. 60 cm
3. 50 cm
4. 12 cm
2. 60 cm
3. 50 cm
4. 12 cm
Subtopic: Lenses |
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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:
1. \(0.5~\Omega\)
2. \(1.000~\Omega\)
3. \(2.0 ~\Omega\)
4. \(0.25 ~\Omega\)
2. \(1.000~\Omega\)
3. \(2.0 ~\Omega\)
4. \(0.25 ~\Omega\)
Subtopic: EMF & Terminal Voltage |
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For a gas \(\frac{R}{C_v}=0.67.\) This gas is made up of molecules which are:
| 1. | monoatomic |
| 2. | polyatomic |
| 3. | mixture of diatomic and polyatomic molecules |
| 4. | diatomic |
Subtopic: Specific Heat |
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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:
1. \(6~\mathrm{m}\)
2. \(3~\mathrm{m}\)
3. \(4~\mathrm{ m}\)
4. \(2\mathrm{~m}\)
2. \(3~\mathrm{m}\)
3. \(4~\mathrm{ m}\)
4. \(2\mathrm{~m}\)
Subtopic: Total Internal Reflection |
58%
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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
2. \(1\) km/h
3. \(2\) km/h
4. \(3\) km/h
Subtopic: Collisions |
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A transverse wave is represented by the equation; \(y=y_0\sin\frac{2\lambda}{\lambda}(vt-k).\)
For what value of \(\lambda\) is the particle velocity equal to two times the wave velocity?
1. \(\lambda=\pi y_0\)
2. \(\lambda=\frac{\pi y_0}{2}\)
3. \(\lambda=\frac{\pi y_0}{3}\)
4. \(\lambda=2\pi y_0\)
For what value of \(\lambda\) is the particle velocity equal to two times the wave velocity?
1. \(\lambda=\pi y_0\)
2. \(\lambda=\frac{\pi y_0}{2}\)
3. \(\lambda=\frac{\pi y_0}{3}\)
4. \(\lambda=2\pi y_0\)
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
2. two
3. three
4. four
Subtopic: Bohr's Model of Atom |
56%
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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
2. 5 J/s
3. 0.42 J/s
4. 0.8 J/s
Subtopic: Heating Effects of Current |
60%
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