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

Subtopic:  Properties of EM Waves |
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The incorrect statement about the property of a Zener diode is:
1.  zener voltage remains constant at breakdown
2.  it is designed to operate under reverse bias
3.  depletion region formed is very wide
4.  p and n regions of zener diode are heavily doped
Subtopic:  Applications of PN junction |
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A cell of emf 4 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 V
2.  4.25 V
3.  4 V
4.  0.375 V
Subtopic:  EMF & Terminal Voltage |
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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 $$\pi$$
In light of the above statements, choose the most appropriate answer from the options given below:
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 |
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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 |
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A cricket ball is thrown by a player at a speed of 20 m/s in a direction 30° above the horizontal. The maximum height attained by the ball during its motion is: (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 cm. If current carried by the wire of the coil is 1 A, the value of magnetic field produced at the centre of the coil will be:
(permeability of free space = 4$$\pi$$ × 10-7 H/m) nearly:
1.  10-1 T
2.  10-2 T
3.  102 T
4.  10-3 T
Subtopic:  Magnetic Field due to various cases |
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An inductor of inductance 2 mH is connected to a 220 V, 50 Hz ac source. Let the inductive reactance in the circuit is X1. If a 220 V dc source replaces the ac source in the circuit, then the inductive reactance in the circuit is X2. X1 and X2 , 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 |
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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 |
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The light rays having photons of energy 4.2 eV are falling on a metal surface having a work function of 2.2 eV. The stopping potential of the surface is:
1.  2 eV
2.  2 V
3.  1.1 V
4.  6.4 V
Subtopic:  Einstein's Photoelectric Equation |
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