# A biconvex lens has radii of curvature, $$20~\text{cm}$$ each. If the refractive index of the material of the lens is $$1.5,$$ the power of the lens is: 1. infinity 2. $$+2~\text{D}$$  3. $$+20 ~\text{D}$$  4. $$+5~\text{D}$$

Subtopic:  Lenses |
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Given below are two statements:
 Statement I: Biot-Savart's law gives us the expression for the magnetic field strength of an infinitesimal current element $$I(dl)$$ of a current-carrying conductor only. Statement II: Biot-Savart's law is analogous to Coulomb's inverse square law of charge $$q,$$ with the former being related to the field produced by a scalar source, $$Idl$$ while the latter being produced by a vector source, $$q.$$

 1 Statement I is incorrect but Statement II is correct. 2 Both Statement I and Statement II are correct. 3 Both Statement I and Statement II are incorrect. 4 Statement I is correct but Statement II is incorrect.
Subtopic:  Biot-Savart Law |
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A square loop of side $$1$$ m and resistance $$1$$ $$\Omega$$ is placed in a magnetic field of $$0.5$$ T. If the plane of the loop is perpendicular to the direction of the magnetic field, the magnetic flux through the loop is:
 1 $$0$$ 2 $$2$$ weber 3 $$0.5$$ weber 4 $$1$$ weber
Subtopic:  Magnetic Flux |
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An electric lift with a maximum load of $$2000$$ kg (lift+passengers) is moving up with a constant speed of $$1.5$$ ms–1. The frictional force opposing the motion is $$3000$$ N. The minimum power delivered by the motor to the lift in watts is:
(Take $$g=10$$ ms–2)
1. $$23500$$
2. $$23000$$
3. $$20000$$
4. $$34500$$
Subtopic:  Power |
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A light ray falls on a glass surface of refractive index $$\sqrt{3}$$, at an angle of $$60^\circ.$$ The angle between the refracted and reflected rays would be:
 1 $$120^\circ$$ 2 $$30^\circ$$ 3 $$60^\circ$$ 4 $$90^\circ$$
Subtopic:  Refraction at Plane Surface |
60%
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A copper wire of length $$10$$ m and radius $$\left({10^{-2}/\sqrt{\pi}}\right)$$ m has an electrical resistance of $$10~\Omega.$$ The current density in the wire for an electric field strength of $$10$$ (V/m) is:
1. $$10^{5}$$ A/m2
2. $$10^{4}$$ A/m2
3. $$10^{6}$$ A/m2
4. $$10^{-5}$$ A/m2
Subtopic:  Current & Current Density |
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In the given circuits (a), (b) and (c), the potential drop across the two $${\mathrm{p\text-n}}$$ junctions are equal in:

 1 both circuits (a) and (c) 2 circuit (a) only 3 circuit (b) only 4 circuit (c) only
Subtopic:  PN junction |
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If the initial tension on a stretched string is doubled, then the ratio of the initial and final speeds of a transverse wave along the string is:
1. $$1:2$$
2. $$1:1$$
3. $$\sqrt{2}:1$$
4. $$1:\sqrt{2}$$
Subtopic:  Travelling Wave on String |
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The ratio of the radius of gyration of a thin uniform disc about an axis passing through its centre and normal to its plane to the radius of gyration of the disc about its diameter is:
 1 $$1:\sqrt{2}$$ 2 $$2:1$$ 3 $$\sqrt{2}:1$$ 4 $$4:1$$
Subtopic:  Moment of Inertia |
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In Young's double-slit experiment, a student observes $$8$$ fringes in a certain segment of the screen when a monochromatic light of $$600$$ nm wavelength is used. If the wavelength of light is changed to $$400$$ nm, then the number of fringes he would observe in the same region of the screen is:
1. $$12$$
2. $$6$$
3. $$8$$
4. $$9$$
Subtopic:  Young's Double Slit Experiment |
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