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06/05/2024
Numerical on rotational motion without friction A hemispherical bowl of radius R is set into rotation about its axis of symmetry which is kept vertical. A small block kept in the bowl rotates with the bowl...
06/05/2024
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Numerical on simple collision Educational Video.Music Credit: Hideki Taniuchi from DeathNote
A capacitor has rectangular plates of length a and width b. The top plate is inclined at a small angle as shown. The plate separation varies d = y0 at the left to d = 2y0 at the right, were y0 is much less than a or b. calculate the capacitance of the system?
22/07/2017
1. A wave pulse is travelling along x axis on a string at 2 m/s. Displacement y (in cm) of the particle at x =0 at any time t is 2/(t2 + 1). Find the wave equation?
Let the x - y plane be the boundary between two transparent media. Medium 1 in z ≥ 0 has refractive index of √2 and medium 2 with z < 0 has a refractive index of √3. A ray of light in medium 1 given by the vector A = 6√3i + 8√3j - 10k in incident on the plane of separation. The angle of refraction in medium 2 is
a. 75°
b. 60°
c. 45°
d. 30°
A biconvex lens is made of glass with refractive index 1.5 and has radii of curvature 20 cm and 30 cm. If the 20 cm surface is silvered what is the effective focal length of the mirror formed?
The radius of the convex face of a plano-convex lens is 12 cm and its refractive index is 1.5.
a)Find the focal length of this lens. The plane surface of this lens is now silvered.
b) At what distance from the lens will parallel rays icident on the convex face converge?
19/06/2017
Two metal strips, each of length l are clamped parallel to each other on a horizontal floor with a separation b between them. A wire of mass m lies on them perpendicularly a s shown in the figure. A vertically upward magnetic field of strength B exists in the space. The metal strips are smooth but the coefficient of friction between the wire and the floor is u. A current i is established when the switch S is closed at the instant t=0. Discuss the motion of the wire after the switch is closed. How far away from the strips will the wire reach?
A stream of protons and deuterons in a vacuum chamber enters a magnetic field. Both protons and deuterons and have been subjected to the same accelerating potential, the kinetic energies of the particles are same. If the ion stream is perpendicular to the magnetic field and the protons move in a circular path of radius r, find the radius of the path traversed by the deuterons.
16/06/2017
A long insulated copper wire is closely wound as a spiral of N turns. The spiral has inner radius a and outer radius b. The spiral lies in the X–Y plane and a steady current I flows through the wire. The Z–component of the magnetic field at the centre of the spiral is
14/06/2017