A strong magnetic field is applied along the direction of the velocity of an electron. The electron would move along:

1. a parabolic path
2. the original path
3. a helical path
4. a circular path

Subtopic:  Lorentz Force |
 65%
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A string is wrapped along the rim of a wheel of moment of inertia \(0.10\) kg-m2 and radius \(10\) cm. If the string is now pulled by a force \(10\) N, then the wheel starts to rotate about its axis from rest. The angular velocity of the wheel after \(2\) seconds is:
1. \(40\) rad/s
2. \(80\) rad/s
3. \(10\) rad/s
4. \(20\) rad/s

Subtopic:  Rotational Motion: Dynamics |
 78%
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A stone is thrown vertically downwards with an initial velocity of \(40\) m/s from the top of a building. If it reaches the ground with a velocity of \(60\) m/s, then the height of the building is: (Take \(g=10\) m/s2)
1. \(120\) m
2. \(140\) m
3. \(80\) m
4. \(100\) m

Subtopic:  Uniformly Accelerated Motion |
 82%
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Rain is falling vertically downward with a speed of \(35~\text{m/s}\). Wind starts blowing after some time with a speed of \(12~\text{m/s}\) in East to West direction. The direction in which a boy standing at the place should hold his umbrella is:

1. \(\text{tan}^{-1}\Big(\frac{12}{37}\Big)\) with respect to rain
2. \(\text{tan}^{-1}\Big(\frac{12}{37}\Big)\) with respect to wind
3. \(\text{tan}^{-1}\Big(\frac{12}{35}\Big)\) with respect to rain
4. \(\text{tan}^{-1}\Big(\frac{12}{35}\Big)\) with respect to wind
Subtopic:  Relative Motion |
 68%
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An electromagnetic wave is moving along negative \(\text{z (-z)}\) direction and at any instant of time, at a point, its electric field vector is \(3\hat j~\text{V/m}\). The corresponding magnetic field at that point and instant will be: (Take \(c=3\times10^{8}~\text{ms}^{-1}\) )

1. \(10\hat i~\text{nT}\) 2. \(-10\hat i~\text{nT}\)
3. \(\hat i~\text{nT}\) 4. \(-\hat i~\text{nT}\)
Subtopic:  Properties of EM Waves |
 53%
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In a photoelectric experiment, blue light is capable of ejecting a photoelectron from a specific metal while green light is not able to eject a photoelectron. Ejection of photoelectrons is also possible using light of the colour:
1. yellow
2. red
3. violet
4. orange

Subtopic:  Photoelectric Effect: Experiment |
 82%
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Three capacitors, each of capacitance \(0.3~\mu \text{F}\) are connected in parallel. This combination is connected with another capacitor of capacitance \(0.1~\mu \text{F}\) in series. Then the equivalent capacitance of the combination is:

1. \(0.9~\mu\text{F}\) 2. \(0.09~\mu\text{F}\)
3. \(0.1~\mu\text{F}\) 4. \(0.01~\mu\text{F}\)
Subtopic:  Combination of Capacitors |
 84%
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A string of length \(l\) is fixed at both ends and is vibrating in second harmonic. The amplitude at antinode is \(2\) mm. The amplitude of a particle at a distance \(l/8\) from the fixed end is:
        
1. \(2\sqrt2~\text{mm}\)
2. \(4~\text{mm}\)
3. \(\sqrt2~\text{mm}\)
4. \(2\sqrt3~\text{mm}\)

Subtopic:  Standing Waves |
 53%
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The circuit represents a full wave bridge rectifier when switch \(S\) is open. The output voltage \((\text V_0)\) pattern across \(R_L\) when \(S\) is closed:
 

1.   2.
3. 4.
Subtopic:  Rectifier |
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Given below are two statements:
Assertion (A): Gauss's law for magnetism states that the net magnetic flux through any closed surface is zero.
Reason (R): The magnetic monopoles do not exist. North and South poles occur in pairs, allowing vanishing net magnetic flux through the surface.
 
1. (A) is true but (R) is false.
2. (A) is false but (R) is true.
3. Both (A) and (R) are true and (R) is the correct explanation of (A).
4. Both (A) and (R) are true but (R) is not the correct explanation of (A).

Subtopic:  Analogy between Electrostatics & Magnetostatics |
 72%
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