A \(12~\text{V},60~\text{W}\) lamp is connected to the secondary of a step down transformer, whose primary is connected to ac mains of \(220~\text{V}\). Assuming the transformer to be ideal, what is the current in the primary winding?
1. \(0.37~\text{A}\)
2. \(0.27~\text{A}\)
3. \(2.7~\text{A}\)
4. \(3.7~\text{A}\)
Subtopic: Transformer |
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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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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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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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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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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) |
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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. \(100^\circ \mathrm{C}\)
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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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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