Uncategorised (JEE Advanced Physics by BM Sharma + GMP Solutions)
Two uniformly charged spherical drops at potential V coalesce to form a large drop. If capacity of each smaller drop is C then find the capacity and potential of larger drop.
01
Sep
Two uniformly charged spherical drops at potential V coalesce to form a large drop. If capacity of each smaller drop is C then find the capacity and potential of larger drop. Two uniformly charged spherical drops at potential V coalesce to form a large drop. If capacity of each smaller drop is C then find [...]
A particle of mass m=0.1kg and having positive charge q=75μC is suspended from a point by a thread of length l=10cm. In the space, a uniform horizontal electric field E=104NC−1 exists. The particle is drawn aside so that the thread becomes vertical and then it is projected horizontally with velocity v such that the particle starts to move along a circle with the same constant speed V. Calculate the radius of the circle and speed v(g=10 ms^−2).
01
Sep
A particle of mass m=0.1kg and having positive charge q=75μC is suspended from a point by a thread of length l=10cm. In the space, a uniform horizontal electric field E=104NC−1 exists. The particle is drawn aside so that the thread becomes vertical and then it is projected horizontally with velocity v such that the particle [...]
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A particle of mass m=0.1kg and having positive charge q=75μC is suspended from a point by a thread of length l=10cm. In the space ,
each of radius r and supported on insulating stands ,
the net electrostatic potential created by these charges is V. Find the separation r between the charges. ,
Two point like charges q1 and q2 are fixed in free space. At every point on the curve shown ,
Two small metal spheres A and B ,
Two small metal spheres A and B, each of radius r and supported on insulating stands, located at a distance a(a>>r) from each other are connected by a thin conducting wire. A point charge q is brought near the spheres at distance l(l>>r) on the line joining the centers of the spheres. What are the moduli of charge induced on the spheres ?
01
Sep
Two small metal spheres A and B, each of radius r and supported on insulating stands, located at a distance a(a>>r) from each other are connected by a thin conducting wire. A point charge q is brought near the spheres at distance l(l>>r) on the line joining the centers of the spheres. What are the [...]
Two point like charges q1 and q2 are fixed in free space. At every point on the curve shown, the net electrostatic potential created by these charges is V. Find the separation r between the charges.
01
Sep
Two point like charges q1 and q2 are fixed in free space. At every point on the curve shown, the net electrostatic potential created by these charges is V. Find the separation r between the charges. the net electrostatic potential created by these charges is V. Find the separation r between the charges. Two point [...]
A positive charge +Q is fixed at a point A. Another positively charged particle of mass m and charge +q is projected from a point B with velocity u as shown in (Fig. 3.103). Point B is at a large distance from A and at distance d from the line A C. The initial velocity is parallel to the line A C. The point C is at a very large distance from A. Find the minimum distance (in meter) of +q from +Q during the motion. Take Qq=4πε0mu2d and d(2–√−1)m.
01
Sep
A positive charge +Q is fixed at a point A. Another positively charged particle of mass m and charge +q is projected from a point B with velocity u as shown in (Fig. 3.103). Point B is at a large distance from A and at distance d from the line A C. The initial velocity [...]
The potential in the electric field varies as V = -ax^2 + b with respect to x-coordinate, where a and b are constants. Find the charge density p(x) in a space.
01
Sep
The potential in the electric field varies as V = -ax^2 + b with respect to x-coordinate, where a and b are constants. Find the charge density p(x) in a space. The potential in the electric field varies as V = -ax^2 + b with respect to x-coordinate where a and b are constants. Find [...]
Two isolated metallic solid spheres of radii R and 2R are charged such that both of these have same charge density σ. The spheres are located far away from each other and connected by a thin conducting wire. Find the new charge density on the bigger sphere.
01
Sep
Two isolated metallic solid spheres of radii R and 2R are charged such that both of these have same charge density σ. The spheres are located far away from each other and connected by a thin conducting wire. Find the new charge density on the bigger sphere. b and c are shown in (Fig. 3.100). [...]
A conducting sphere S1 of radius r is attached to an insulating handle. Another conduction sphere S2 of radius R is mounted on an insulating stand. S2 is initially uncharged. S1 is given a charge Q brought into contact with S2 and removed. S1 is recharge such that the charge on it is again Q and it is again brought into contact with S2 and removed. This procedure is repeated n times. a. Find the electrostatic energy of S2 after n such contacts with S1. b. What is the limiting value of this energy as n→∞ ?
01
Sep
A conducting sphere S1 of radius r is attached to an insulating handle. Another conduction sphere S2 of radius R is mounted on an insulating stand. S2 is initially uncharged. S1 is given a charge Q brought into contact with S2 and removed. S1 is recharge such that the charge on it is again Q [...]
Three concentric conducting shells of radii a, b and c are shown in (Fig. 3.100). Charge on the shell of radius b is Q. If the key K is closed, find the charges on the innermost and outermost shells and the radio of charge densities of the shells. Given that a:b:c=1:2:3.
01
Sep
Three concentric conducting shells of radii a, b and c are shown in (Fig. 3.100). Charge on the shell of radius b is Q. If the key K is closed, find the charges on the innermost and outermost shells and the radio of charge densities of the shells. Given that a:b:c=1:2:3. b and c are [...]
A non-conducting disc of radius a and uniform positive surface charge density σ is placed on the ground, with its axis vertical. A particle of mass m and positive charge q is dropped, along the axis of the disc, from a height H with zero initial velocity. The particle has q/m=4∈0g/σ (a) Find the value of H if the particle just reaches the disc. (b) Sketch the potential energy of the particle as a function of its height and find its equilibrium position.
01
Sep
A non-conducting disc of radius a and uniform positive surface charge density σ is placed on the ground, with its axis vertical. A particle of mass m and positive charge q is dropped, along the axis of the disc, from a height H with zero initial velocity. The particle has q/m=4∈0g/σ (a) Find the value [...]
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a charge q is imparted to the inner shells. Now ,
A non-conducting disc of radius a and uniform positive surface charge density σ is placed on the ground ,
along the axis of the disc ,
B ,
C ,
find the potential difference between the shells. Note that finally key K2 remains closed. ,
Four charge the particles each having charge Q are fixed at the comers of the base (at A ,
key K1 is closed and opened and then key K2 is closed and opened. After the keys K1andK2 are alterbately closed n times each ,
Two concentric shells of radii R and 2R are shown in (Fig. 3.115). Initially ,
with its axis vertical. A particle of mass m and positive charge q is dropped ,