# An energy of $$484$$ J is spent in increasing the speed of a flywheel from $$60$$ rpm to $$360$$ rpm. The moment of inertia of the flywheel is: 1. $$0.7$$ kg-m2 2. $$3.22$$ kg-m2 3. $$30.8$$ kg-m2 4. $$0.07$$ kg-m2

Subtopic:  Moment of Inertia |
57%
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NEET - 2022
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The magnetic flux linked to a circular coil of radius $$R$$ is;
$$\phi=2t^3+4t^2+2t+5$$ Wb.
The magnitude of induced emf in the coil at $$t=5$$ s is:
1. $$108$$ V
2. $$197$$ V
3. $$150$$ V
4. $$192$$ V
Subtopic:  Faraday's Law & Lenz Law |
85%
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NEET - 2022
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An observer is using an astronomical refracting telescope to observe planets in normal adjustment. The focal lengths of the objective and eyepiece used in the telescope construction are $$20$$ m and $$2$$ cm respectively. Consider the following statements about the telescope:
 (a) the distance between the objective and the eyepiece is $$20.02$$ m. (b) the magnification of the telescope is $$-1000$$. (c) the image of the planet is erect and diminished. (d) the aperture of the eyepiece is smaller than that of the objective.
The correct statements are:
 1 (a), (b), and (c) 2 (b), (c), and (d) 3 (c), (d), and (a) 4 (a), (b), and (d)
Subtopic:  Telescope |
64%
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NEET - 2022
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At any instant, two elements X1 and X2 have the same number of radioactive atoms. If the decay constant of X1 and X2 are 10 $$\lambda$$ and $$\lambda$$ respectively, then the time when the ratio of their atoms becomes $$\frac1e$$ will be:
1.  $$\frac{1}{11\lambda}$$
2.  $$\frac{1}{9\lambda}$$
3.  $$\frac{1}{6\lambda}$$
4.  $$\frac{1}{5\lambda}$$
72%
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NEET - 2022
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Six charges $$+q,$$ $$-q,$$ $$+q,$$ $$-q,$$ $$+q$$ and $$-q$$ are fixed at the corners of a hexagon of side $$d$$ as shown in the figure. The work done in bringing a charge $$q_0$$ to the centre of the hexagon from infinity is:
($$\varepsilon_0\text-$$permittivity of free space)
 1 zero 2 $$\dfrac{-q^2}{4\pi\varepsilon_0d}$$ 3 $$\dfrac{-q^2}{4\pi\varepsilon_0d}\Big(3-\dfrac{1}{\sqrt2}\Big)$$ 4 $$\dfrac{-q^2}{4\pi\varepsilon_0d}\Big(6-\dfrac{1}{\sqrt2}\Big)$$
Subtopic:  Electric Potential Energy |
82%
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NEET - 2022
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An organ pipe filled with a gas at $$27^\circ \text{C}$$ resonates at $$400$$ Hz in its fundamental mode. If it is filled with the same gas at $$90^\circ \text{C},$$ the resonance frequency at the same mode will be:
 1 $$420$$ Hz 2 $$440$$ Hz 3 $$484$$ Hz 4 $$512$$ Hz
Subtopic:  Standing Waves |
66%
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NEET - 2022
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The position-time $$(x\text-t)$$ graph for positive acceleration is:
 1 2 3 4
Subtopic:  Graphs |
79%
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NEET - 2022
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The collector current in a common base amplifier using n-p-n transistor is $$24$$ mA. If $$80\text{%}$$ of the electrons released by the emitter are accepted by the collector, then the base current is numerically:
1. $$6$$ mA and leaving the base.
2. $$3$$ mA and leaving the base.
3. $$6$$ mA and entering the base.
4. $$3$$ mA and entering the base.
Subtopic:  Applications of Transistor (OLD NCERT) |
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NEET - 2022
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Three vessels of equal capacity have gases at the same temperature and pressure. The first vessel contains helium (monoatomic), the second contains fluorine (diatomic) and the third contains sulfur hexafluoride (polyatomic). The correct statement, among the following, is:
 1 all vessels contain unequal number of respective molecules. 2 the root mean square speed of molecules is same in all the three cases. 3 the root mean square speed of helium is the largest. 4 the root mean square speed of sulfur hexafluoride is the largest.
Subtopic:  Types of Velocities |
72%
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NEET - 2022
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In a gravitational field, the gravitational potential is given by, $$V=-\frac{K}{x}~\text{J/kg}$$. The gravitational field intensity at point $$(2,0,3)$$ m is:
 1 $$+\frac K2$$ 2 $$-\frac{K}{2}$$ 3 $$-\frac{K}{4}$$ 4 $$+\frac K4$$
Subtopic:  Gravitational Field |
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NEET - 2022
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