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. \(100^\circ \mathrm{C}\)
70%
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 |
58%
Level 3: 35%-60%
NEET - 2023
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A bullet from a gun is fired on a rectangular wooden block with velocity \(u\). When bullet travels \(24\) cm through the block along its length horizontally, velocity of bullet becomes \(u/3\). Then it further penetrates into the block in the same direction before coming to rest exactly at the other end of the block. The total length of the block is:
| 1. | \(30\) cm | 2. | \(27\) cm |
| 3. | \(24\) cm | 4. | \(28\) cm |
Subtopic: Work Energy Theorem |
71%
Level 2: 60%+
NEET - 2023
Hints
An electric dipole is placed as shown in the figure.
The electric potential (in \(10^2~\text{V}\)) at the point \(P\) due to the dipole is:
(\(\varepsilon_0=\) permittivity of free space and \(\dfrac{1}{4 \pi \varepsilon_0}=k\))
The electric potential (in \(10^2~\text{V}\)) at the point \(P\) due to the dipole is:
(\(\varepsilon_0=\) permittivity of free space and \(\dfrac{1}{4 \pi \varepsilon_0}=k\))
| 1. | \(\left(\dfrac{8}{3}\right)qk\) | 2. | \(\left(\dfrac{3}{8}\right)qk \) |
| 3. | \(\left(\dfrac{5}{8}\right)qk\) | 4. | \(\left(\dfrac{8}{5}\right)qk\) |
Subtopic: Energy of Dipole in an External Field |
65%
Level 2: 60%+
NEET - 2023
Hints
In the figure shown here, what is the equivalent focal length of the combination of lenses?
(Assume that all layers are thin)
(Assume that all layers are thin)
| 1. | \(-50~\text{cm}\) | 2. | \(40~\text{cm}\) |
| 3. | \(-40~\text{cm}\) | 4. | \(-100~\text{cm}\) |
Subtopic: Lens Makers' Formula |
52%
Level 3: 35%-60%
NEET - 2023
Hints
A satellite is orbiting just above the surface of the earth with period \(T.\) If \(d\) is the density of the earth and \(G\) is the universal constant of gravitation, the quantity \(\dfrac{3 \pi}{G d}\) represents:
| 1. | \(\sqrt{T}\) | 2. | \(T\) |
| 3. | \(T^2\) | 4. | \(T^3\) |
Subtopic: Satellite |
71%
Level 2: 60%+
NEET - 2023
Hints
\(10\) resistors, each of resistance \(R\) are connected in series to a battery of \(E\) and negligible internal resistance. Then those are connected in parallel to the same battery, the current is increased \(n\) times. The value of \(n\) is:
| 1. | \(1000\) | 2. | \(10\) |
| 3. | \(100\) | 4. | \(1\) |
Subtopic: Combination of Resistors |
69%
Level 2: 60%+
NEET - 2023
Hints
A horizontal bridge is built across a river. A student standing on the bridge throws a small ball vertically upwards with a velocity \(4\) ms–1. The ball strikes the water surface after \(4\) s. The height of bridge above water surface is:
(Take \(g=10~ \text {ms}^{-2}\) )
(Take \(g=10~ \text {ms}^{-2}\) )
| 1. | \(68\) m | 2. | \(56\) m |
| 3. | \(60\) m | 4. | \(64\) m |
Subtopic: Uniformly Accelerated Motion |
70%
Level 2: 60%+
NEET - 2023
Hints
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