In a series \({LCR}\) circuit, the inductance \({L}\) is \(10~\text{mH}\), capacitance \({C}\) is \(1~\mu\text{F}\) and resistance \({R}\) is \(100~\Omega\). The frequency at which resonance occurs is:
1. \(1.59~\text{kHz}\)
2. \(15.9~\text{rad/s}\)
3. \(15.9~\text{kHz}\)
4. \(1.59~\text{rad/s}\)

Subtopic:  Different Types of AC Circuits |
 67%
From NCERT
NEET - 2023
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Two bodies of mass \(m\) and \(9m\) are placed at a distance \(R.\) The gravitational potential on the line joining the bodies where the gravitational field equals zero, will be:
(\(G=\) gravitational constant)
1. \(-\dfrac{20~Gm}{R}\)

2. \(-\dfrac{8~Gm}{R}\)

3. \(-\dfrac{12~Gm}{R}\)

4. \(-\dfrac{16~Gm}{R}\)
Subtopic:  Gravitational Potential |
 57%
From NCERT
NEET - 2023
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Light travels a distance \(x\) in time \(t_1\) in air and \(10x\) in time \(t_2\) in another denser medium. What is the critical angle for this medium?
1. \(\sin ^{-1}\left(\frac{10 t_1}{t_2}\right) \) 2. \(\sin ^{-1}\left(\frac{ t_2}{t_1}\right) \)
3. \(\sin ^{-1}\left(\frac{10 t_2}{t_1}\right) \) 4. \(\sin ^{-1}\left(\frac{ t_1}{10t_2}\right) \)
Subtopic:  Total Internal Reflection |
 66%
From NCERT
NEET - 2023
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The amount of energy required to form a soap bubble of radius \(2~\text{cm}\) from a soap solution is nearly:
\((\)the surface tension of soap solution \(0.03~\text{Nm}^{-1})\)
1. \(50.1 \times 10^{-4}~\text{J}\)
2. \(30.16 \times 10^{-4}~ \text{J}\)
3. \(5.06 \times 10^{-4} ~\text{J}\)
4. \(3.01\times 10^{-4} ~\text{J}\)
Subtopic:  Surface Tension |
 62%
From NCERT
NEET - 2023
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The minimum wavelength of X-rays produced by an electron accelerated through a potential difference of \(V\) volts is proportional to:
1. \(V^2\)
2. \(\sqrt{V}\)
3. \(1/V\)
4. \(\frac{1}{\sqrt{V}}\)
From NCERT
NEET - 2023
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If the galvanometer \(G\) does not show any deflection in the circuit shown, the value of \(R\) is given by;
1. \(400~\Omega\) 2. \(200~\Omega\)
3. \(50~\Omega\) 4. \(100~\Omega\)
Subtopic:  Kirchoff's Voltage Law |
 55%
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NEET - 2023
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A Carnot engine has an efficiency of \(50\%\) when its source is at a temperature \(327^\circ \mathrm{C}\). The temperature of the sink is:
1. \(200^\circ \mathrm{C}\)
2. \(27^\circ \mathrm{C}\)
3. \(15^\circ \mathrm{C}\)
4. \(100^\circ \mathrm{C}\)
 69%
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NEET - 2023
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The errors in the measurement which arise due to unpredictable fluctuations in temperature and voltage supply are:
1. Random errors 2. Instrumental errors
3. Personal errors 4. Least count errors
Subtopic:  Errors |
 71%
From NCERT
NEET - 2023
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A wire carrying a current \(I\) along the positive \(x\)-axis has length \(L\). It is kept in a magnetic field \(\overrightarrow{B}=(2 \hat{i}+3 \hat{j}-4 \hat{k})~\text{T}\). The magnitude of the magnetic force acting on the wire is:
1. \(\sqrt{3}IL\)
2. \(3IL\)
3. \(\sqrt{5}IL\)
4. \(5IL\)
Subtopic:  Lorentz Force |
 64%
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NEET - 2023
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A very long conducting wire is bent in a semi-circular shape from \(A\) to \(B\) as shown in the figure. The magnetic field at the point \(P\) for steady current configuration is given by:
      
1. \(\dfrac{\mu_0 i}{4 R}\left[1-\dfrac{2}{\pi}\right]\) pointed into the page
2. \(\dfrac{\mu_0 i}{4 R}\) pointed into the page
3. \(\dfrac{\mu_0 i}{4 R}\) pointed away from the page
4. \(\dfrac{\mu_0 i}{4 R}\left[1-\dfrac{2}{\pi}\right]\) pointed away from the page
Subtopic:  Magnetic Field due to various cases |
 57%
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NEET - 2023
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