# 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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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.  $$\frac{1}{5\lambda}$$
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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 |
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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 |
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The position-time $$(x\text-t)$$ graph for positive acceleration is:
 1 2 3 4
Subtopic:  Graphs |
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