# The magnetic field of a plane electromagnetic wave is given by,    $$\vec B=3\times10^{-8}\text{cos}(1.6\times10^3x+48\times10^{10}t)\hat j~\text{T}.$$ The associated electric field will be: 1. $$3 \times 10^{-8} \text{cos}\left(1.6 \times 10^3 x+48 \times 10^{10} t\right) \hat{i}~\text{ V/m}$$ 2. $$3 \times 10^{-8} \text{sin} \left(1.6 \times 10^3 {x}+48 \times 10^{10} {t}\right) \hat{{i}}~ \text{V} / \text{m}$$ 3. $$9 \text{sin} \left(1.6 \times 10^3 {x}-48 \times 10^{10} {t}\right) \hat{{k}} ~~\text{V} / \text{m}$$ 4. $$9 \text{cos} \left(1.6 \times 10^3 {x}+48 \times 10^{10} {t}\right) \hat{{k}}~~\text{V} / \text{m}$$

Subtopic:  Properties of EM Waves |
52%
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The incorrect statement about the property of a zener diode is:
 1 Zener voltage remains constant at the breakdown. 2 It is designed to operate under reverse bias. 3 The depletion region formed is very wide. 4 $$\mathrm{p}$$ and $$\mathrm{n}$$ regions of the Zener diode are heavily doped.
Subtopic:  Applications of PN junction |
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A cell of emf  $$4~\text{V}$$ and internal resistance $$0.5~\Omega$$ is connected to a $$7.5~\Omega$$ external resistance. The terminal potential difference of the cell is:
1. $$3.75~\text{V}$$
2. $$4.25~\text{V}$$
3. $$4~\text{V}$$
4. $$0.375~\text{V}$$
Subtopic:  EMF & Terminal Voltage |
69%
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NEET - 2022
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Given below are two statements:
 Statement I: In an AC circuit, the current through a capacitor leads the voltage across it. Statement II: In AC circuits containing pure capacitance only, the phase difference between the current and the voltage is $$\pi.$$

 1 Both Statement I and Statement II are correct. 2 Both Statement I and Statement II are incorrect. 3 Statement I is correct but Statement II is incorrect. 4 Statement I is incorrect but Statement II is correct.
Subtopic:  Different Types of AC Circuits |
66%
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The equivalent resistance of the infinite network given below is:

1. $$2~\Omega$$
2. $$(1+\sqrt2)~\Omega$$
3. $$(1+\sqrt3)~\Omega$$
4. $$(1+\sqrt5)~\Omega$$
Subtopic:  Combination of Resistors |
51%
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A cricket ball is thrown by a player at a speed of $$20$$ m/s in a direction $$30^\circ$$ above the horizontal. The maximum height attained by the ball during its motion is: (Take $$g=10$$ m/s2)
1. $$5$$ m
2. $$10$$ m
3. $$20$$ m
4. $$25$$ m
Subtopic:  Projectile Motion |
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A closely packed coil having $$1000$$ turns has an average radius of $$62.8 ~\mathrm{cm}$$. If the current carried by the wire of the coil is $$1~ \text{A},$$ the value of the magnetic field produced at the centre of the coil will be:
(permeability of free space = $$4 \pi \times 10^{-7}~ \text{H/m}$$) nearly:
 1 $$10^{-1}~\text{T}$$ 2 $$10^{-2}~\text T$$ 3 $$10^{2}~\text T$$ 4 $$10^{-3}~\text{T}$$
Subtopic:  Magnetic Field due to various cases |
60%
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An inductor of inductance $$2~\text{mH}$$ is connected to a $$220~\text{V}$$, $$50~\text{Hz}$$ ac source. Let the inductive reactance in the circuit is $$X_1$$. If a $$220~\text{V}$$ DC source replaces the AC source in the circuit, then the inductive reactance in the circuit is $$X_2$$. $$X_1$$ and $$X_2$$, respectively, are:
1. $$6.28~\Omega$$, zero
2. $$6.28~\Omega$$, infinity
3. $$0.628~\Omega$$, zero
4. $$0.628~\Omega$$, infinity
Subtopic:  Different Types of AC Circuits |
65%
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During a cloudy day, a primary and a secondary rainbow may be created. Which of the following statement is correct?
 1 primary rainbow is due to double internal reflection and is formed above the secondary one. 2 primary rainbow is due to double internal reflection and is formed below the secondary one. 3 secondary rainbow is due to double internal reflection and is formed above the primary one. 4 secondary rainbow is due to a single internal reflection and is formed above the primary one.
Subtopic:  Total Internal Reflection |
66%
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The light rays having photons of energy $$4.2~\text{eV}$$ are falling on a metal surface having a work function of $$2.2~\text{eV}$$ . The stopping potential of the surface is:
 1 $$2~\text{eV}$$ 2 $$2~\text{V}$$ 3 $$1.1~\text{V}$$ 4 $$6.4~\text{V}$$
Subtopic:  Einstein's Photoelectric Equation |
63%
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