Two identical point masses \(P\) and \(Q,\) suspended from two separate massless springs of spring constant \(k_1\) and \(k_2,\) respectively, oscillate vertically. If their maximum speeds are the same, the ratio \(\left(\dfrac{A_Q}{A_P} \right)\) of the amplitude \(A_Q\) of mass \(Q \) to the amplitude \(A_P\) of mass \(P\) is:
| 1. | \(\sqrt{\dfrac{k_2}{k_1}}\) | 2. | \(\sqrt{\dfrac{k_1}{k_2}}\) |
| 3. | \(\dfrac{k_2}{k_1}\) | 4. | \(\dfrac{k_1}{k_2}\) |
Subtopic: Spring mass system |
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Level 3: 35%-60%
NEET - 2025
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A pipe open at both ends has a fundamental frequency \(f \) in air. The pipe is now dipped vertically in a water drum to half of its length. The fundamental of the air column is now equal to:
| 1. | \(\dfrac{3f}{2}\) | 2. | \(2f\) |
| 3. | \(\dfrac{f}{2}\) | 4. | \(f\) |
Subtopic: Standing Waves |
Level 3: 35%-60%
NEET - 2025
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Two identical charged conducting spheres \(A\) and \(B\) have their centres separated by a certain distance. Charge on each sphere is \(q\) and the force of repulsion between them is \(F. \) A third identical uncharged conducting sphere is brought in contact with sphere \(A\) first and then with \(B \) and finally removed from both. New force of repulsion between spheres \( A\) and \(B \) (Radii of \(A\) and \(B \) are negligible compared to the distance of separation so that for calculating force between them they can be considered as point charges) is best given as:
| 1. | \(\dfrac{F}{2}\) | 2. | \(\dfrac{3 F}{8}\) |
| 3. | \(\dfrac{3 F}{5}\) | 4. | \(\dfrac{2 F}{3}\) |
Subtopic: Coulomb's Law |
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Level 2: 60%+
NEET - 2025
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An electric dipole with dipole moment \(5\times10^{-6}~\text{C-m} \) is aligned with the direction of a uniform electric field of magnitude \(4\times10^{5}~\text{N/C}. \) The dipole is then rotated through an angle of \(60^\circ\) with respect to the electric field. The change in the potential energy of the dipole is:
| 1. | \(1.2~\text{J}\) | 2. | \(1.5~\text{J}\) |
| 3. | \(0.8~\text{J}\) | 4. | \(1.0~\text{J}\) |
Subtopic: Energy of Dipole in an External Field |
53%
Level 3: 35%-60%
NEET - 2025
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The plates of a parallel plate capacitor are separated by \(d.\) Two slabs of different dielectric constant \(K_1\) and \(K_2\) with thickness \(\dfrac{3}{8} d\) and \(\dfrac{d}{2},\) respectively are inserted in the capacitor. Due to this, the capacitance become two times larger than when there is nothing between the plates.
If \(K_1=1.25 ~K_2,\) the value of \(K_1\) is:
1. \(1.60\)
2. \(1.33\)
3. \(2.66\)
4. \(2.33\)
If \(K_1=1.25 ~K_2,\) the value of \(K_1\) is:
1. \(1.60\)
2. \(1.33\)
3. \(2.66\)
4. \(2.33\)
Subtopic: Dielectrics in Capacitors |
Level 3: 35%-60%
NEET - 2025
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A wire of resistance \(R\) is cut into \(8\) equal pieces. From these pieces two equivalent resistance are made by adding four of these together in parallel. Then these two sets are added in series. The net effective resistance of the combination is:
| 1. | \(\dfrac{R}{16}\) | 2. | \(\dfrac{R}{8}\) |
| 3. | \(\dfrac{R}{64}\) | 4. | \(\dfrac{R}{32}\) |
Subtopic: Combination of Resistors |
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Level 3: 35%-60%
NEET - 2025
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The current passing through the battery in the given circuit, is:
1. \(2.5~\text{A}\)
2. \(1.5~\text{A}\)
3. \(2.0~\text{A}\)
4. \(0.5~\text{A}\)
1. \(2.5~\text{A}\)
2. \(1.5~\text{A}\)
3. \(2.0~\text{A}\)
4. \(0.5~\text{A}\)
Subtopic: Wheatstone Bridge |
Level 3: 35%-60%
NEET - 2025
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A constant voltage of \(50~\text{V}\) is maintained between the points \(A\) and \(B\) of the circuit shown in the figure. The current through the branch \(C D\) of the circuit is:
| 1. | \(2.5~\text{A}\) | 2. | \(3.0~\text{A}\) |
| 3. | \(1.5~\text{A}\) | 4. | \(2.0~\text{A}\) |
Subtopic: Kirchoff's Voltage Law |
Level 3: 35%-60%
NEET - 2025
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A \(2~\text{amp}\) current is flowing through two different small circular copper coils having radii ratio \(1:2.\) The ratio of their respective magnetic moments will be:
| 1. | \(2: 1\) | 2. | \(4: 1\) |
| 3. | \(1: 4\) | 4. | \(1: 2\) |
Subtopic: Magnetic Moment |
60%
Level 2: 60%+
NEET - 2025
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An electron (mass \(9\times10^{-31}~\text{kg}\) and charge \(1.6\times10^{-19}~\text C\)) moving with speed \(c/100\) (\(c\)=speed of light) is injected into a magnetic field \(\vec B\) of magnitude \(9\times10^{-4}~\text{T}\) perpendicular to its direction of motion. We wish to apply an uniform electric field \(\vec E\) together with the magnetic field so that the electron does not deflect from its path. Then (speed of light \(c=3\times10^8~\text{ms}^{-1}\))
| 1. | \(\vec E\) is parallel to \(\vec B\) and its magnitude is \(27\times10^{2}~\text{V m}^{-1}\) |
| 2. | \(\vec E\) is parallel to \(\vec B\) and its magnitude is \(27\times10^{4}~\text{V m}^{-1}\) |
| 3. | \(\vec E\) is perpendicular to \(\vec B\) and its magnitude is \(27\times10^{4}~\text{V m}^{-1}\) |
| 4. | \(\vec E\) is perpendicular to \(\vec B\) and its magnitude is \(27\times10^{2}~\text{V m}^{-1}\) |
Subtopic: Lorentz Force |
Level 3: 35%-60%
NEET - 2025
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