A standard filament lamp consumes \(100\) W when connected to \(200\) V AC mains supply. The peak current through the bulb will be:
1. \(0.707\) A
2. \(1\) A
3. \(1.414\) A
4. \(2\) A

Subtopic:  RMS & Average Values |
 70%
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Let \(R_1\) be the radius of the second stationary orbit and \(R_2\) be the radius of the fourth stationary orbit of an electron in Bohr's model. The ratio \(\frac{R_1}{R_2}\) is:
1. \(0.25\)
2. \(0.5\)
3. \(2\)
4. \(4\)
Subtopic:  Bohr's Model of Atom |
 78%
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The physical quantity that has the same dimensional formula as pressure is:
1. Force
2. Momentum
3. Young's modulus of elasticity
4. Coefficient of viscosity
Subtopic:  Dimensions |
 80%
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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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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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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.  \(\frac{1}{5\lambda}\)
Subtopic:  Radioactivity (OLD NCERT) |
 72%
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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:
(\(\varepsilon_0-\)permittivity of free space)
           
1. zero
2. \(\frac{-q^2}{4\pi\varepsilon_0d}\)
3. \(\frac{-q^2}{4\pi\varepsilon_0d}\Big(3-\frac{1}{\sqrt2}\Big)\)
4. \(\frac{-q^2}{4\pi\varepsilon_0d}\Big(6-\frac{1}{\sqrt2}\Big)\)
Subtopic:  Electric Potential Energy |
 82%
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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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The position-time \((x\text-t)\) graph for positive acceleration is:
1. 2.
3. 4.
Subtopic:  Graphs |
 79%
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