A box of mass \(5 ~\text{kg}\) is pulled by a cord, up along a frictionless plane inclined at \(30^\circ\) with the horizontal. The tension in the cord is \(30~\text N.\) The acceleration of the box is: (take \(g=10~\text{ms}^{-2}\))
| 1. | \(2~\text{ms}^{-2}\) | 2. | zero |
| 3. | \(0.1~\text{ms}^{-2}\) | 4. | \(1~\text{ms}^{-2}\) |
Subtopic: Tension & Normal Reaction |
73%
Level 2: 60%+
NEET - 2024
Hints
If the ratio of relative permeability and relative permittivity of a uniform medium is \(1 : 4.\) The ratio of the magnitudes of electric field intensity \((E)\) to the magnetic field intensity \((H)\) of an EM wave propagating in that medium is:\(\left(\text{Given that}\sqrt{\frac{\mu_0}{\varepsilon_0}}=120\pi\right)\)
| 1. | \(30\pi:1\) | 2. | \(1:120\pi\) |
| 3. | \(60\pi:1\) | 4. | \(120\pi:1\) |
Subtopic: Properties of EM Waves |
Level 3: 35%-60%
NEET - 2024
Hints
The value of the electric potential at a distance of \(9~\text{cm}\) from the point charge \(4\times10^{-7}~\text{C}\) is:
\(\left[\mathrm{Given}\dfrac{1}{4\pi\varepsilon_{0}}=9\times10^{9}~\text{N m}^{2}~\text{C}^{-2}\right]\)
\(\left[\mathrm{Given}\dfrac{1}{4\pi\varepsilon_{0}}=9\times10^{9}~\text{N m}^{2}~\text{C}^{-2}\right]\)
| 1. | \(4\times10^2~\text V\) | 2. | \(44.4~\text V\) |
| 3. | \(4.4\times10^5~\text V\) | 4. | \(4\times10^4~\text V\) |
Subtopic: Electric Potential |
78%
Level 2: 60%+
NEET - 2024
Hints
The displacement of a traveling wave is given by \(y=C\sin\dfrac{2\pi}{\lambda}({at}-x)\) where \(t\) is time, \(x\) is distance and \(\lambda\) is the wavelength, all in SI units. The frequency of the wave is:
| 1. | \(\dfrac{2\pi\lambda}{a}\) | 2. | \(\dfrac{2\pi a}{\lambda}\) |
| 3. | \(\dfrac{\lambda}{a}\) | 4. | \(\dfrac{a}{\lambda}\) |
Subtopic: Wave Motion |
79%
Level 2: 60%+
NEET - 2024
Hints
An object of mass \(100 ~\text{kg}\) falls from point \(A\) to \(B\) as shown in the figure. The change in its weight, corrected to the nearest integer (\(R_E\) is the radius of the Earth), is:
1. \(49~\text N\)
2. \(89~\text N\)
3. \(5~\text N\)
4. \(10~\text N\)
1. \(49~\text N\)
2. \(89~\text N\)
3. \(5~\text N\)
4. \(10~\text N\)
Subtopic: Acceleration due to Gravity |
60%
Level 2: 60%+
NEET - 2024
Hints
The potential energy of a particle moving along the \(x\text-\)direction varies as \({V}=\dfrac{{A}x^{2}}{\sqrt{x}+{B}}.\) The dimensions of \(\dfrac{A^2}{B}\) are:
| 1. | \([{M}^{3/2}{L}^{1/2}{T}^{-3}]\) | 2. | \([M^{1/2}LT^{-3}]\) |
| 3. | \([{M}^2{L}^{1/2}{T}^{-4}]\) | 4. | \([ML^{2}T^{-4}]\) |
Subtopic: Dimensions |
74%
Level 2: 60%+
NEET - 2024
Hints
The two-dimensional motion of a particle, described by \(\vec{r}=(\hat{i}+2\hat{j}) A~\text{cos}(\omega t) \) is a/an:
Choose the correct answer from the options given below:
| (A) | parabolic path |
| (B) | elliptical path |
| (C) | periodic motion |
| (D) | simple harmonic motion |
Choose the correct answer from the options given below:
| 1. | (B), (C), and (D) only |
| 2. | (A), (B), and (C) only |
| 3. | (A), (C), and (D) only |
| 4. | (C) and (D) only |
Subtopic: Types of Motion |
52%
Level 3: 35%-60%
NEET - 2024
Hints
A beam of unpolarised light of intensity \(I_0\) is passed through a polaroid \(A,\) through another polaroid \(B,\) oriented at \(60^\circ\) and finally through another polaroid \(C,\) oriented at \(45^\circ\) relative to \(B\) as shown in the figure. The intensity of the emergent light is:
| 1. | \(\dfrac{{I}_0}{16}\) | 2. | \(\dfrac{{I}_0}4\) |
| 3. | \(\dfrac{{I}_0}2\) | 4. | \(\dfrac{{I}_0}{32}\) |
Subtopic: Polarization of Light |
78%
Level 2: 60%+
NEET - 2024
Hints
Select the correct statements among the following:
Choose the most appropriate answer from the options given below:
| A. | slow neutrons can cause fission in \(\mathrm U_{92}^{235}\) than fast neutrons. |
| B. | \(\text{α-rays}\) are helium nuclei. |
| C. | \(\text{β-rays}\) are fast-moving electrons or positrons. |
| D. | \(\gamma\text-\text{rays}\) are electromagnetic radiations of wavelengths larger than \(X\text-\)rays. |
| 1. | A, B, and C only | 2. | A, B, and D only |
| 3. | A and B only | 4. | C and D only |
Subtopic: Nuclear Energy |
68%
Level 2: 60%+
NEET - 2024
Hints
Let \(\omega_{1},\omega_{2}\) and \(\omega_{3}\) be the angular speeds of the second hand, minute hand, and hour hand of a smoothly running analog clock, respectively. If \(x_{1},x_{2}\) and \(x_{3}\) are their respective angular distance in \(1~\text{minute},\) then the factor that remains constant \((k)\) is:
| 1. | \(\dfrac{\omega_1}{x_1}=\dfrac{\omega_2}{x_2}=\dfrac{\omega_3}{x_3}={k}\) |
| 2. | \(\omega_{1}x_{1}=\omega_{2}x_{2}=\omega_{3}x_{3}={k}\) |
| 3. | \(\omega_{1}x_{1}^{2}=\omega_{2}x_{2}^{2}=\omega_{3}x_{3}^{2}={k}\) |
| 4. | \(\omega_{1}^{2}x_{1}=\omega_{2}^{2}x_{2}=\omega_{3}^{2}x_{3}={k}\) |
Subtopic: Rotational Motion: Kinematics |
55%
Level 3: 35%-60%
NEET - 2024
Hints
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