# 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 |
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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 |
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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. $$\sin ^{-1}\left(\dfrac{10 t_1}{t_2}\right)$$
2. $$\sin ^{-1}\left(\dfrac{ t_2}{t_1}\right)$$
3. $$\sin ^{-1}\left(\dfrac{10 t_2}{t_1}\right)$$
4. $$\sin ^{-1}\left(\dfrac{ t_1}{10t_2}\right)$$
Subtopic:  Total Internal Reflection |
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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:
$$($$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 |
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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. $$\frac{1}{\sqrt{V}}$$
Subtopic:  X-Ray (OLD NCERT) |
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 |
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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. $$100^\circ \mathrm{C}$$
Subtopic:  Heat Engine & Refrigerator (OLD NCERT) |
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From NCERT
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 |
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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 |
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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 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 |
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NEET - 2023
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