An energy of \(484~\text J\) is spent in increasing the speed of a flywheel from \(60~\text{rpm}\) to \(360~\text{rpm}.\) The moment of inertia of the flywheel is:
1.
\(0.7~\text{kg-m}^2\)
2.
\(3.22~\text{kg-m}^2\)
3.
\(30.8~\text{kg-m}^2\)
4.
\(0.07~\text{kg-m}^2\)
Subtopic: Moment of Inertia |
59%
Level 3: 35%-60%
NEET - 2022
Hints
The magnetic flux linked to a circular coil of radius \(R\) is given by:
\(\phi=2t^3+4t^2+2t+5\) Wb.
What is the magnitude of the induced EMF in the coil at \(t=5\) s?
| 1. | \(108\) V | 2. | \(197\) V |
| 3. | \(150\) V | 4. | \(192\) V |
Subtopic: Faraday's Law & Lenz Law |
87%
Level 1: 80%+
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 \(20\text{m}\) and \(2\text{cm}\) respectively. Consider the following statements about the telescope:
The correct statements are:
| (A) | the distance between the objective and the eyepiece is \(20.02\text{m}.\) |
| (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 |
68%
Level 2: 60%+
NEET - 2022
Hints
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. \(\frac{1}{5\lambda}\)
1. \(\frac{1}{11\lambda}\)
2. \(\frac{1}{9\lambda}\)
3. \(\frac{1}{6\lambda}\)
4. \(\frac{1}{5\lambda}\)
71%
Level 2: 60%+
NEET - 2022
Hints
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 |
84%
Level 1: 80%+
NEET - 2022
Hints
An organ pipe filled with a gas at \(27^\circ \text{C}\) resonates at \(400~\text{Hz}\) 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. | \(420~\text{Hz}\) | 2. | \(440~\text{Hz}\) |
| 3. | \(484~\text{Hz}\) | 4. | \(512~\text{Hz}\) |
Subtopic: Standing Waves |
70%
Level 2: 60%+
NEET - 2022
Hints
Subtopic: Graphs |
81%
Level 1: 80%+
NEET - 2022
Hints
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.
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.
Level 3: 35%-60%
NEET - 2022
Hints
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 an unequal number of respective molecules. |
| 2. | The root mean square speed of molecules is the same in all 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 |
75%
Level 2: 60%+
NEET - 2022
Hints
In a gravitational field, the gravitational potential is given by; \(V=-\frac{K}{x}~\text{J/kg}.\) The gravitational field intensity at the point \((2,0,3)~\text m\) is:
| 1. | \(+\dfrac K2\) | 2. | \(-\dfrac{K}{2}\) |
| 3. | \(-\dfrac{K}{4}\) | 4. | \(+\dfrac K4\) |
Subtopic: Gravitational Field |
Level 3: 35%-60%
NEET - 2022
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