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A bat emitting an ultrasonic wave of frequency 4.5 × 104 Hz at speed of 6 m/s between two parallel walls. The two frequencies heard by the bat will be:
1. 4.67 × 104 Hz, 4.34 × 104 Hz
2. 4.34 × 104 Hz, 4.67 × 104 Hz
3. 4.5 × 104 Hz, 5.4 × 104 Hz
4. 4.67 × 103 Hz, 4.34 × 104 Hz

Subtopic:  Speed of Sound |
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The charges on two spheres are \(+7~\mu C\) and \(-5~\mu C\) respectively. They experience a force \(F.\) If each of them is given an additional charge of \(-2~\mu C,\) then the new force of attraction will be:
1. \(F\)
2. \(\frac{F}{2}\)
3. \(\frac{F}{\sqrt3}\)
4. \(2F\)

Subtopic:  Coulomb's Law |
 67%
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A rod made up of metal is 1.2 m long and 0.8 cm in diameter. Its resistance is 3.5 × 10-3 \(\Omega.\) Another disc made of the same metal is 2.0 cm in diameter and 1.25 mm thick. What is the resistance between the round faces of the disc?
1. 1.35 × 10-8 \(\Omega\)
2. 2.70 × 10-7 \(\Omega\)
3. 5.82 × 10-7 \(\Omega\)
4. 8.10 × 10-5 \(\Omega\)

Subtopic:  Derivation of Ohm's Law |
 50%
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A body is moving along a rough horizontal surface with an initial velocity of 10 ms-1 If the body comes to rest after travelling a distance of 12 m, then the coefficient of sliding friction will be:
1.  0.5
2.  0.2
3.  0.4
4.  0.6
Subtopic:  Friction |
 61%
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The magnification produced by an astronomical telescope for normal adjustment is \(10\) and the length of the telescope is \(1.1~\mathrm{m}\). The magnification, when the image is formed at least distance of distinct vision is:
1. \(6\)
2. \(18\)
3. \(16\)
4. \(14\)
Subtopic:  Telescope |
 51%
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A circular current-carrying coil has a radius \(R.\) The distance from the centre of the coil, on the axis, where \(B\) will be \(\frac18\) of its value at the centre of the coil is:
1. \(\frac{R}{\sqrt3}\)
2. \(\sqrt3R\)
3. \(2\sqrt3R\)
4. \(\frac{2R}{\sqrt3}\)

Subtopic:  Magnetic Field due to various cases |
 54%
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Angular width of central maximum in the Fraunhofer diffraction pattern of a slit is measured. The slit is illuminated by light of wavelength \(6000~\mathring{\mathrm{A}}\). When the slit is illuminated by light of another wavelength, then the angular width decreases by \(30\%\). The same decrease in angular width of the central maximum is obtained when the original apparatus is immersed in a liquid. The refractive index of the liquid will be:
1. \( 1.25 \)
2. \( 1.42 \)
3. \( 1.67 \)
4. \( 1.5\)

Subtopic:  Diffraction |
 53%
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An energy of \(68.0~\mathrm{eV}\) is required to excite a hydrogen-like atom in its second Bohr energy level to third energy level the charge of a nucleus is The wavelength of radiation required to eject the electron from first orbit to infinity is:
1. \(2.2 \mathrm{~nm} \)
2. \(2.85 \mathrm{~nm} \)
3. \(3.2 \mathrm{~nm} \)
4. \(2.5 \mathrm{~nm}\)
Subtopic:  Bohr's Model of Atom |
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A current carrying loop is placed in a uniform magnetic field in four different orientations \(\mathrm{I,II,III}\) and \(\mathrm{IV}\) as shown in the figure. Arrange them in decreasing order of potential energy. 

1. \( \mathrm{ I>I I I>I I>I V } \)
2. \(\mathrm{ I>I I>I I I>I V }\)
3. \( \mathrm{ I>I V>I I>I I I }\)
4. \(\mathrm{I I I > I V>I>I I}\)

Subtopic:  Analogy between Electrostatics & Magnetostatics |
 54%
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Two different isotherms representing the relationship between pressure \(P\) and volume \(V\) at a given temperature of the same ideal gas are shown for masses \(m_1\) and \(m_2,\) then:

1. nothing can be predicted
2. \(m_1 < m_2\)
3. \(m_1 = m_2\)
4. \(m_1 > m_2\)


 

Subtopic:  Ideal Gas Equation |
 59%
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