Identify the function which represents a non-periodic motion?
1. \(e^{-\omega t}\) 2. \(\text{sin}\omega t\)
3. \(\text{sin}\omega t+\text{cos}\omega t\) 4. \(\text{sin}(\omega t+\pi/4)\)

Subtopic:  Types of Motion |
 79%
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Match List-I with List-II
List-I List-II
(a) Cellular barrier (i) Interferons
(b) Cytokine barrier (ii) Mucus
(c) Physical barrier (iii) Neutrophils
(d) Physiological barrier  (iv) HCI in gastric juice

Choose the correct answer from the options given below :
(a) (b) (c) (d)
1. (ii) (iii) (iv) (i)
2. (ii) (iii) (i) (iv)
3. (iii) (iv) (ii) (i)
4. (iii) (i) (ii) (iv)
Subtopic:  Details of Immunity |
 87%
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If A and C make 30% and 20% of DNA, respectively, what will be the percentage composition of T and G ?
1. T : 20%, G : 30%
2. T : 30%, G : 20%
3. T : 30%, G : 30%
4. T : 20%, G : 20%
Subtopic:  Nucleic Acid: Nucleotides |
 82%
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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 |
 50%
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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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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 |
 71%
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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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