Electrostatics. 4πε 2) + Q / 2 4) 4 Q


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1 Two spheres A and B of radius a and b respectively are at the same potential The ratio of the surface charge density of A to B is: ) a / b ) b / a a / b b / a Two free protons are separated by a distance of 0 A If they are released, the kinetic energy of each proton when at infinite separation is: ) x 0 9 J ) 5 x 09 J 46 x 09 J 56 x 0  J A charge q is placed at the centre of the line joining of two equal charges each The system of three charges will be in equilibrium if q is equal to: ) / / 4 ) + / 4 4 A uniform wire of length 5m is carrying a steady current The electric field inside it is 0 V/m The potential difference across the ends of the wire is ) volt ) 05 volt 0 volt 5 volt 5 The electric potential due to an electric dipole at an axial point distant r from the dipole is related to r as: ) r ) r  r r  6 A charge q is divided into two parts q and (q q ) What is the ratio q / q so that the force between the two parts placed a given distance apart is maximum? ) : ) : : :4 7 The electric potential at the surface of an atomic nucleus (Z=50) of radius 9 0 x 0 5 m : ) 80 volt ) 8 x 0 6 volt 9 volt 9 x 0 5 volt 8 Two point charges placed at a certain distance r in air exert a force of F on each other Then the distance r at which these charges will experience the same force in a medium of dielectric constant K is: ) r ) r / K r / K r K 9 An oil drop carrying a charge of 4 electrons has a mass of x 07 kg It is falling freely in air with terminal speed The electric field required to make the drop move upwards with the same speed is ( g = 0 m s ) ) x 0 V m  ) x0 V m  x 0 V m  8 x 0 V m  0 Six charges + each are placed at the corners of the regular hexagon of side a The electric field at the centre of hexagon is ) Zero 6 ) 0 a 0 a 6 0 a An isolated metal sphere of radius r is given a total charge q The potential energy of the sphere is: ) q / 4 π ε ) q / 4 π ε 9 r q / 8 π ε q / 8 π ε Charges +q, 4q and +q are arranged at the corners of an equilateral triangle of side 0 5 m If q = µ C ; their mutual potential energy is: ) 04 J ) 05 J 06 J 08 J Point charges 4 q,  q, + q and  q are placed at the corners of a square of side a The potential at point 0 ( the point of inter section of diagonals ) is: ) Zero 0 q ) 0q 0 5q 4 A bullet of mass g is moving with a speed of 0 ms  If the bullet has a charge of µc, through what potential must it be accelerated, starting from rest to acquire the same speed? ) 5 k V ) 5 V 50 V 50 k V 0
2 5 A hollow sphere of copper is having a uniform charge density of 05µC/m Its radius is 0m The potential at the centre of the sphere is: ) Zero ) 800 π volt 80 π volt 45 k V 6 An electron moving along positive xaxis with a speed of x 0 6 ms  enters the region of a uniform electric field The electron stops after traveling a distance of 90mm in the field The electric field strength is: (charge on electron = 6 x 0 9 C mass of electron = 9 x 0  kg) ) 84 k V m , along ve x  axis ) 0 84 k V m , along ve x  axis 0 84 k V m , along + ve x axis 8 4 k V m , along + ve x axis 7 ABC is an equilateral triangle of side m Charges of + µc and  µc respectively are placed at points B and C The electric field at A is: ) 9 x 0 NC  ) 8 x 0 NC  9 x 0 NC  parallel to BC 9 x 0 NC  parallel to CB 8 Two metal plates having a potential difference of 800V are cm apart It is found that a particle of mass 96 x 05 kg remain suspended in the region between the plates The charge on the particle must be (e = elementary charge): ) e ) 4 e 6 e 8 e 9 Total electric flux coming out of a unit positive charge put in air is: ) ε 0 ) ε 0  (4 π ε 0 )  4 π ε 0 0 An electric dipole of moment p is placed normal to the lines of force of electric field E, then the work done in deflecting it through an angle of 80 degrees is: ) p E ) + p E  p E Zero The ratio of momentum of an electron and an alpha particle which are accelerated from rest by a potential difference of 00V is: ) m ) e m α m α m e m e mα A region surrounding a stationary electric dipole has: ) Magnetic field only ) Electric field only Both electric and magnetic fields No electric and magnetic fields Two pith balls each of mass m and charge q are suspended from a point by weightless threads of length l Both the threads are separated by an angle θ with the vertical If the value of θ is negligible, the distance between two pith balls will be ) q l 0mg ql 4 0mg ) q l 4 0mg ql 0mg 4 The dielectric constant K of an insulator cannot be: ) 4 ) When the distance between two charged particles is halved, the coulomb force between them becomes: ) onehalf ) onefourth double four times 6 The minimum charge on an object is ) One coulomb ) One stat coulomb 6 x 00 coulomb 6 x 09 coulomb
3 7 Two charges q and q are placed in vacuum at a distance d, and the force acting between them is F If a medium of dielectric constant 4 is introduced around them, the force now will be: ) 4 F ) F F F 4 8 A solid metallic sphere has a charge + Concentric with this sphere is a conducting spherical shell having charge The radius of the sphere is a and that of the spherical shell is b (b>a) What is the electric field at a distance R (a < R < b) from the centre? ) ) πε 0 R πε 0 R 4 πε 0 R 4 πε 0 R 9 In a region of space having an uniform electric field E, a hemispherical bowl of radius r is placed The electric flux φ through the bowl is: ) πr E ) πr E πre 4πr E 0 A hollow spherical conductor of radius m carries a charge of 500µC Then the electric field strength at its surface is: ) Zero ) 5 x 0 6 N/C 5 x 0 6 N / C 4 5 x 0 6 N / C The electric field intensity on the surface of a charged conductor is: ) Zero ) Directed normally to the surface Directed tangentially to the surface Directed along 45º to the surface A proton is released from rest at a distance of 04 A 0 from the nucleus of a mercury atom (Z=80) The kinetic energy of the proton when it is far away from the nucleus is: ) e V ) k e V M e V M e V Two thin concentric hollow conducting spheres of radii R and R bears charges and respectively If R > R, then the potential at a point distant r such that: R > r > R is ) + ) 0 r 0 r R 0 R R 0 R r 4 Two thin concentric hollow conducting spheres of radii R and R bears charges and respectively If R > R, then the electric field strength at a point distant r such that R > r > R is: ) Zero ) + 5 Two small spheres carry charge of + n C and n C respectively The charges are distance d apart The force they exert on one another is F The spheres are made to touch one another and then separated to distance d apart The force they exert on one another now is F Then F / F is: ) ) / 6 : 9 6 A cylinder of radius R and length L is placed in the region of a uniform electric field E such that its axis is along the direction of electric field The electric flux linked with cylinder is: ) R/L ) R /L Zero Infinity 7 Two metallic spheres of radii cm and cm are given charges 0  C and 5x0  C respectively If they are connected by a conducting wire, the final charge on the smaller sphere is: ) x 0  C ) x 0  C 4 x 0  C x 0  C
4 4 8 If the dielectric constant and dielectric strength be denoted by K and X respectively, then a material suitable for use as a dielectric in a capacitor must have ) high K and high X ) high K and low X low K and high X low K and low X 9 An electric dipole consists of two opposite charges each of magnitude 6x09 coulomb at separation 0 A The dipole moment is: ) 6 x 09 coulmetre ) 6 x 09 coulmetre x 09 coulmetre 0 8 x 09 coulmetre 40 A is a spherical conductor placed concentrically inside a hollow spherical conductor B + charge is given to A and B is earthed The electric intensity is not zero ) inside A ) outside B on the surface of B between A and B 4 Electron and proton are accelerated from rest by a potential of V volt Mass of proton is 840 times the mass of electron v e, K e and K p, stand for the speed and kinetic energy of electron and proton respectively Then: ) v e = v p ; K e = K p ) v e < v p ; K e < K p v e < v p ; K e > K p v e > v p ; K e = K p 4 The work done in carrying a charge of 5 µc from a point A to B is 8mJ The difference of potential between A and B is: ) 60 V ) 6 V 6 k V 6 k V 4 Compare electrons accelerated through a certain potential difference and protons accelerated through the same pd If initial velocities are negligible, then the emergent; ) electrons have smaller kinetic energy ) protons have larger velocity electrons have larger momentum protons have larger momentum 44 The fact that electric charges are integral multiples of the fundamental electronic charge was proved experimentally by: ) Planck ) JJ Thomson Einstein Millikan 45 An electron enters with a velocity of 5x0 6 m/sec along the positive direction of an electric field of intensity 0 newton per coulomb If mass of electron is 9 x 0  kg, then the time taken by the electron to come temporarily to rest, is: ) 5 8 x 08 sec ) 45 x 08 sec 9 x 08 sec 46 There are 7 drops of a conducting fluid Each has a radius a and they are charged to a potential V 0 These are combined to form a bigger drop Its potential will be: ) V 0 ) V 0 9 V 0 7 V 0 47 A particle having a charge 0x09 coulomb experiences a downward force of 5x06 newton when placed in a field of electric intensity (in Newton per coulomb), is: ) 5 x 0 horizontally ) 5 x 0 vertically downward 5 x 0 vertically upward 5 x 05 vertically upward 48 Charges of + ( 0 / ) x 0 9 C are placed at each of the four corners of a square of side 8 cm The potential at the intersection of the diagonals is: ) 50 volt ) 500 volt 900 volt d) 900 volt 49 An electron placed at a distance of 05m from a charge placed at origin, experiences a force of 9 6 x 06 N along positive x  axis The electric field at the position of electron is: ) 6 x 0 NC  along + ve x  axis ) 6 x 0 NC  along ve x  axis 5 6 x 04 NC  along + ve x  axis 5 6 x 04 NC  along ve x  axis
5 5 50 A rectangle of crosssectional area A is placed in a uniform electric field The normal to the area of the coil makes an angle of 90º with the electric field The electric flux, φ, through the rectangle is: ) E ) A E A E / Zero 5 The number of electric lines of force crossing the surface of an arbitrary curve of surface area S and enclosing a charge q is: ) 0 ) q 0 S q / 0 q V / 0 Where q is the charge inside the closed surface 5 Equal charges q are placed at the four corners A, B, C, D of a square of length a The magnitude of the force on the charge at D will be: q 4q ) ) 0a 0a + q q + 0a 0a 5 Two charges are 40µC and 0µC They are some distance apart Now they are touched and kept at the same distance The ratio of the initial to the final force between them is: ) 8 : ) 4 : : 8 : 54 Charges of µc and µc are placed respectively at two points A and B distant m The distance of the point from A, where net potential is zero, is: ) m ) 0 5 m 0 4 m 0 6 m 55 Charges q and q are placed respectively at points A and B The net force on a unit positive charge placed at a distance of: 56 Electric potential V at some point in space is zero This means: ) Electric field at that point is necessarily zero ) Electric field at that point is necessarily nonzero Electric field at that point may or may not be nonzero The point is on the surface 57 Equal charges q are placed at the three corners A, B & C of a square ABCD of side a The potential at A is: ) q q ) 0 a 0 a q q + πε [ + 4 0a 0a ] 58 Equal charges q are placed at the three corners A, B & C of a square ABCD of side a The ratio of potential at A and O (the point of intersection of diagonals) is: ) ) An electric dipole consists of two opposite charges each of magnitude 0 µ C separated by a distance of 0 cm The dipole is placed in an external field of 0 x 0 5 N / C The maximum torque on the dipole is: )0 x 0  N m ) 0 x 0  Nm 0 x 0  N m 4 0 x 0  Nm 60 Charges +q, q, +q and q are placed at the corners A, B, C & D of a square ABCD of side a The charge A is in equilibrium The ratio q /q is: ) ) / ) 0 6 m ) ( + ) / m (   ) / m 05 m from A is zero
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