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Questions and Answers
What is the value of the magnetic field B inside the cavity?
What is the value of the magnetic field B inside the cavity?
- $0.8 \times 10^{-6}$ T
- $0.4 \times 10^{-6}$ T
- $0.2 \times 10^{-6}$ T (correct)
- $0.6 \times 10^{-6}$ T
At what velocity should a particle be moving to avoid collision at point A?
At what velocity should a particle be moving to avoid collision at point A?
- $v_0 < 2\pi^2 \, \text{m/s}$
- $v_0 < \frac{\pi^2}{2} \, \text{m/s}$
- $v_0 < \pi^2 \, \text{m/s}$
- $v_0 < \frac{\pi^2}{4} \, \text{m/s}$ (correct)
What is the value of the time when a particle collides at point A if it collides at time $t = 3T$?
What is the value of the time when a particle collides at point A if it collides at time $t = 3T$?
- $t = 4T$
- $t = 5T$
- $t = 3T$ (correct)
- $t = 6T$
What is the relationship between the magnetic field B and the current density J inside the cavity?
What is the relationship between the magnetic field B and the current density J inside the cavity?
What is the condition for no collision at point A in terms of velocity and angle of collision?
What is the condition for no collision at point A in terms of velocity and angle of collision?
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Study Notes
JEE Advanced 2024 Part Test II Physics
Induced Current in a Coil
- Magnetic flux linked with a coil is zero during the motion of a ball, resulting in no induced current in the ring.
Capacitor with a Dielectric
- Potential difference between the inner and outer surfaces of a capacitor is the same everywhere.
- Net charge density at each point of the inner surface is the same.
- Induced charge on the inner surface, near the medium, is of opposite nature to the free charge.
- Free charge density at point X (σf) is greater than free charge density at point Y (σ'f).
- σf = kσ'f, where k is a constant.
- σi (induced charge density) = σf / (1 - k), derived from equation (i).
Electric Field in a Capacitor
- Electric field in a capacitor with a dielectric is given by: (σf + σi) / (4πε0r^2).
- In the air gap, the electric field is given by: σ'f / (4πε0r^2).
Note: ε0 is the permittivity of free space, and r is the radial distance from the center of the capacitor.
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