# A long solenoid of radius $$1~\text{mm}$$ has $$100$$ turns per mm. If $$1~\text{A}$$ current flows in the solenoid, the magnetic field strength at the centre of the solenoid is: 1. $$6.28 \times 10^{-4} ~\text{T}$$ 2. $$6.28 \times 10^{-2}~\text{T}$$ 3. $$12.56 \times 10^{-2}~\text{T}$$ 4. $$12.56 \times 10^{-4} ~\text{T}$$

Subtopic:  Magnetic Field due to various cases |
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A shell of mass m is at rest initially. It explodes into three fragments having masses in the ratio $$2:2:1$$. If the fragments having equal masses fly off along mutually perpendicular directions with speed $$v,$$ the speed of the third (lighter) fragment is:
 1 $$3 \sqrt{2} v$$ 2 $$v$$ 3 $$\sqrt{2} v$$ 4 $$2 \sqrt{2} v$$
Subtopic:  Linear Momentum |
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As the temperature increases, the electrical resistance:
 1 decreases for conductors but increases for semiconductors 2 increases for both conductors and semiconductors 3 decreases for both conductors and semiconductors 4 increases for conductors but decreases for semiconductors
Subtopic:  Energy Band theory |
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A biconvex lens has radii of curvature, $$20$$ cm each. If the refractive index of the material of the lens is $$1.5,$$ the power of the lens is:
 1 infinity 2 $$+2$$ D 3 $$+20$$ D 4 $$+5$$ 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 |
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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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