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 |
68%
Level 2: 60%+
NEET - 2023
Hints
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)
(\(G=\) 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 |
59%
Level 3: 35%-60%
NEET - 2023
Hints
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 |
67%
Level 2: 60%+
NEET - 2023
Hints
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. \(3.01\times 10^{-4} ~\text{J}\)
\((\)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 |
63%
Level 2: 60%+
NEET - 2023
Hints
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. \(\frac{1}{\sqrt{V}}\)
1. \(V^2\)
2. \(\sqrt{V}\)
3. \(1/V\)
4. \(\frac{1}{\sqrt{V}}\)
Level 3: 35%-60%
NEET - 2023
Hints
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 |
56%
Level 3: 35%-60%
NEET - 2023
Hints
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. \(100^\circ \mathrm{C}\)
1. \(200^\circ \mathrm{C}\)
2. \(27^\circ \mathrm{C}\)
3. \(15^\circ \mathrm{C}\)
4. \(100^\circ \mathrm{C}\)
69%
Level 2: 60%+
NEET - 2023
Hints
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%
Level 2: 60%+
NEET - 2023
Hints
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. \(5IL\)
1. \(\sqrt{3}IL\)
2. \(3IL\)
3. \(\sqrt{5}IL\)
4. \(5IL\)
Subtopic: Lorentz Force |
65%
Level 2: 60%+
NEET - 2023
Hints
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 |
59%
Level 3: 35%-60%
NEET - 2023
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