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 |
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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 |
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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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