A rigid wire loop of square shape having side of length L and resistance R is moving along the X-axis with a constant velocity v₀ in the plane of the paper. At t = 0, the right edge of the loop enters a region of length 3L where there is a uniform magnetic field B₀ into the plane of the paper, as shown in the figure. For sufficiently large v₀, the loop eventually crosses the region. Let x be the location of the right edge of the loop. Let v(x), I(x) and F(x) represent the velocity of the loop, current in the loop, and force on the loop, respectively, as a function of x. Counter-clockwise current is taken as positive.


Which of the following schematic plot(s) is (are) correct? (Ignore gravity)

While conducting the Young's double slit experiment, a student replaced the two slits with a large opaque plate in the XY-plane containing two small holes that act as two coherent point sources (S₁, S₂) emitting light of wavelength 600 mm. The student mistakenly placed the screen parallel to the XZ-plane (for z > 0) at a distance D = 3 m from the mid-point of S₁S₂, as shown schematically in the figure. The distance between the source d = 0.6003 mm. The origin O is at the intersection of the screen and the line joining S₁S₂.


Which of the following is(are) true of the intensity pattern on the screen?

In the circuit shown below, the key is pressed at time t = 0. Which of the following statement(s) is (are) true?

Light of wavelength $$\lambda$$_ph falls on a cathode plate inside a vacuum tube as shown in the figure. The work function of the cathode surface is $$\phi$$ and the anode is a wire mesh of conducting material kept at a distance d from the cathode. A potential difference V is maintained between the electrodes. If the minimum de-Broglie wavelength of the electrons passing through the anode is $$\lambda$$_e, which of the following statement(s) is (are) true?