Conservation of Energy in Case of Electrostatics
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Q.
There is a uniform electric field of strength of along the y−axis. A body of mass and charge is projected into the field from the origin along the positive−axis with a velocity of . Find its speed in after is (neglect gravitation).
Q. For the shown system of fixed charges, at what distance from 9 nC will electric field due to system of charges be zero.
- 0.67 m from 9 nC charge towards left
- 1 m from 9 nC charge towards left
- 0.27 m from 9 nC charge towards left
- 2.7 m from 9 nC charge towards left
Q. A bullet of mass m and charge q is fired towards a solid uniformly charged sphere of radius R and total charge +q. If it strikes the surface of sphere with speed u, find the minimum speed u so that it can penetrate through the sphere. (Neglect all resistance forces or friction acting on bullet except electrostatic forces)
- q√2πε0mR
- q√4πε0mR
- q√8πε0mR
- √3q√4πε0mR
Q. There exists a region of electric field with potential difference of 25 V as shown in figure. An electron enters this region at speed of v = 3 ×106 m/s at angle of α and emerges out of region at angle β. The sin αsin β is [Electric field exist in given region only]
e=1.6×10−19, m=9.1×10−31 (2 decimal places)
e=1.6×10−19, m=9.1×10−31
Q. The closest distance of approach of an alpha particle travelling with a velocity ‘v’ towards Al13 nucleus is ‘d’. The closest distance of approach of an alpha particle travelling with velocity ‘4v’ towards Fe26 nucleus is
- d8
- d4
- d8
- 8d
Q. In the figure below, 10 mC charge is fixed. A 50 μC charge having mass 10 g is projected from infinity towards the 10 mC charge. Calculate initial velocity of projection if minimum distance between the charges is 10 cm.
- 2000 ms−1
- 3000 ms−1
- 4000 ms−1
- 5000 ms−1
Q.
A solid sphere and sperical shell of same mass m and same radius R are given charges +Q and -Q. Both spheres are kept on rough surface where friction is sufficient to avoid sliding. Initial seperation between spheres is 10 R. If m = 126 kg, Q2=23×10−9C2 and R = 1m.
A solid sphere and sperical shell of same mass m and same radius R are given charges +Q and -Q. Both spheres are kept on rough surface where friction is sufficient to avoid sliding. Initial seperation between spheres is 10 R. If m = 126 kg, Q2=23×10−9C2 and R = 1m.
(A) | Speed of solid sphere just before collision is | 1) 35 m/s |
(B) | Speed of spherical shell just before collision is | 2) 0 m/s2 |
(C) | Speed of center of mass just before collision is | 3) 57 m/s |
(D) | Acceleration of center of mass | 4) Towards left |
5) Towards right |
- A → 3, B → 1, 4, C → 5, D → 5
- A → 1, B → 3, 4, C → 4, D → 5
- A → 1, B → 1, 4, C → 5, D → 4
- A → 3, B → 3, 4, C → 4, D → 4
Q. Electric field given by the vector x^i+y^i is present in the XY plane. A small ring carrying charge +Q, which can freely slide on a smooth non conducting rod, is projected along the rod from the point (0, L) such that it can reach the other end of the rod. What minimum velocity should be given to the ring?(Assume zero gravity)
- (QL2m)12
- 2(QL2m)12
- 4(QL2m)12
- (QL22m)12