Identify the function which represents a non-periodic motion.
1.  $$e^{-\omega t}$$
2.  $$sin\omega t$$
3.  $$sin\omega t+cos\omega t$$
4.  $$sin(\omega t+\pi/4)$$  Subtopic:  Types of Motion |
77%
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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 |
68%
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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 |
63%
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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 $$30^\circ$$ 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 |
69%
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A closely packed coil having 1000 turns has an average radius of $$62.8 ~\mathrm{cm}$$. 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 = $$4 \pi \times 10^{-7}~ \mathrm{H/m}$$ ) nearly:
 1 $$10^{-1}~\mathrm T$$ 2 $$10^{-2}~\mathrm T$$ 3 $$10^{2}~\mathrm T$$ 4 $$10^{-3}~\mathrm T$$  Subtopic:  Magnetic Field due to various cases |
58%
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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 |
62%
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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 |
65%
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