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This is Physics Class 12 Electric Charges and Fields CBSE Online Test 01. Students are instructed to read all the points carefully before clicking the START TEST button. General Instructions: Students must not use calculators and any other unfair means while taking the test. The duration of the test is 30 minutes. You will not be able to submit the test after the time is over. There will be total 15 MCQ in this test. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number. For every question there will be only one correct option out of the four given options. Each question carries one mark. There is no negative marking for incorrect choice. For moving to the next question, click on "Next" at the bottom of the screen. Questions can be answered in any order in given time. For moving to previous question click on "PREVIOUS" at the bottom of the screen. Students can mark the question for review too. Students can make changes in their choice of options before clicking the "SUBMIT" button. After completing all the questions, click "SUBMIT" button. A message will be displayed on the screen "Do you really want to submit ?". If student click on "NO", the will be redirected to the test page again and if they press "YES", the result will be displayed on the screen with details of questions attempted. which of the following methods can be used to charge a metal sphere positively without touching it . Select the best Bring a negatively charged rod near the sphere and touch it to ground for a short while Rub it with a piece of fur Connect the positive terminal a battery and float the other end of the battery Rub it with a piece of silk Question : 1 - Not Attempted A wire is perpendicular to the plane of the paper. A ring of compass needles surrounds the wire in the plane of the paper with center of ring being the center of the wire .Initially there is no current in the wire. What happens after a steady dc current is established in the wire? The needles become parallel to each other The needles become tangential to the ring of which they are a part nothing happens some needles become parallel to each other while others are uneffected The current carrying wire has a magnetic field around it and the lines of force are in the form of concentric circles with their centers on the wire. Question : 2 - Not Attempted Which of the following is most general charachteristic of Magnetic field The magnetic field exerts a force F⃗ only on any magnets present in the field. The magnetic field exerts a force F⃗ only on any iron filings The magnetic field exerts a force F⃗ on any other particle The magnetic field exerts a force F⃗ on any other moving charge or current that is present in the field. A moving charge experiences a force in a magnetic field called magnetic Lorentz force given byF⃗ =q(v⃗ ×B⃗ ) .This force acts only if the particle (i) has charge q(ii) has a non zero velocity v and (iii) does not move parallel or anti parallel to the magnetic field B. A current carrying conductor placed in a magnetic field experiences a force given byF⃗ =Il⃗ ×B⃗ Question : 3 - Not Attempted which of the following best describes the difference between electric and magnetic fields The electric force acts in the direction perpendicular to electric field, whereas the magnetic force acts parallel to the magnetic field The electric force acts on positive charges in the electric field, whereas the magnetic force acts on negative charges in the magnetic field The electric force acts on negative charges in the electric field, whereas the magnetic force acts on positive charges in the magnetic field The electric force acts in the direction of the electric field, whereas the magnetic force acts perpendicular to the magnetic field The electrostatic force experienced by a positive charge q placed in an electric field is F⃗ E=qE⃗ . The force acts in the direction of the electric field.The magnetic force acting on a charge of magnitude q moving with a velocity 'v' is F⃗ M=q(v⃗ ×B⃗ ).This acts in a direction perpendicular to the plane containing the vectors.v⃗ and B⃗ Question : 4 - Not Attempted Which of these equations is the correct expression for force on a charge in magnetic field F⃗ =qv⃗ ×2B⃗ F⃗ =qv⃗ ×B⃗ F⃗ =q2v⃗ ×B⃗ F⃗ =3qv⃗ ×B⃗ A charged particle moving in a magnetic field experiences magnetic Lorentz force given by F⃗ =q(v⃗ ×B⃗ ) Question : 5 - Not Attempted direction of magnetic force on a positive charge moving in a magnetic field is given by thumb rule right hand rule two hand rule left hand rule The force experienced by a charged particle in a magnetic field is given by F⃗ =q(v⃗ ×B⃗ .The right hand rule for vector product can be used to determine the direction of F⃗ ) . Question : 6 - Not Attempted Lorentz Force generally refers to force experienced by a charge due to combined action of electrical and magnetic fields force experienced by a charge due to combined action of electrical fields force experienced by a charge due to combined action of electrical,magnetic field and gravitational field force experienced by a charge due to action of magnetic fields A moving charge experiences a force in a magnetic field called magnetic Lorentz force given by F⃗ =q(v⃗ ×B⃗ ) Question : 7 - Not Attempted correct unit of magnetic field is ampere turns Tesla Newton coulombs Amperes The SI unit of magnetic field is Tesla (T) Question : 8 - Not Attempted If a current I is flowing in a staight wire parallel to x axis and magnetic field is there in the y axis then The wire experiences force in y direction The wire experiences force in z direction The wire experiences no force The wire experiences force in x direction force experienced by a conductor of length l carrying current I placed in magnetic field B is given by F⃗ =Il⃗ ×B⃗ . Il⃗ =∣∣Il⃗ ∣∣i^ and B⃗ =∣∣B⃗ ∣∣j^F⃗ =Il⃗ ×B⃗ =∣∣Il⃗ ∣∣i^×∣∣B⃗ ∣∣j^=IlB(i^×j^)=IlB(k ^) .The force acts along the positive z axis. Question : 9 - Not Attempted correct expression for force on a current carrying conductor of length dl in a magnetic field is F⃗ =ϵ0Idl→×B⃗ F⃗ =Idl→×2B⃗ F⃗ =2Idl→×B⃗ F⃗ =Idl→×B⃗ force experienced by a conductor of length l carrying current I placed in magnetic field B is given by F⃗ =Il⃗ ×B⃗ .Here l⃗ =dl⃗ . Question : 10 - Not Attempted The magnitude of the magnetic field due to a circular coil of radius R carrying a current I at an axial distance x from the centre is B=μ0IR22(x2+R2)32 B=μ0IR23(x2+R2)32 B=μ0IR32(x2+R2)32 B=μ0IR22(x2+R2)35 magnetic field at a point located at a distance x from the center of the coil of radius R carrying current along its axis is B=μ0IR22(x2+R2)32 Question : 11 - Not Attempted Consider the motion of a charged particle in a uniform magnetic field directed into the paper.If velocity v of the particle is in the plane of the paper the charged particle will describe a hyperbola describe an ellipse describe a circle describe a straight line The charged particle experiences magnetic Lorentz force given byF⃗ =q(v⃗ ×B⃗ ) .This force acts in the plane of the paper perpendicular to the velocity vector at all points on the plane. Magnetic Lorentz force acts like a centripetal force, causing the particle to move in a circle. Question : 12 - Not Attempted cyclotron is used to accelerate charged particles or ions to low voltages accelerate charged particles or ions to high energies accelerate charged particles or ions to high voltages decelerate charged particles or ions to high voltages Cyclotron is a particle accelerator, which uses electric field to accelerate the charged particle and magnetic field to make it move in a circular path. During acceleration in the electric field, the particle acquires high energies of the order of a few million electron volts. Question : 13 - Not Attempted cyclotron frequency of a charged particle having charge q and mass m in a cyclotron producing magnetic field B is qBπm q2B2πm qB2πm qB22πm A particle of charge q moving with a speed v on entering a magnetic field B, experiences magnetic Lorentz force which acts as a centripetal force. here, ν is the cyclotron frequency. Question : 14 - Not Attempted what is common to both biot savart law and ampere's law nothing in common Both relate the magnetic field and the current, and both express the same physical consequences of a varying electrical current Both relate the magnetic field and the current, and both express the same physical consequences of a steady electrical current Both relate the magnetic field and the current density, and both express the same physical consequences of a steady electrical current Both Biot- Savart’s lawdB⃗ =μ04πIdl⃗ ×r^r2 and ampere’s circuital law∮B⃗ ⋅dl⃗ =μ0I deal with the consequences of steady current. Ampere’s circuital law is to Biot- savart’s law as is Gauss’s law to Coulomb’s law in electrostatics. Question : 15 - Not Attempted According to Ampere's circuital law ∮B⃗ .dl→=μ0I ∮B⃗ .dl→=I ∮B⃗ .dl→=2πμ0I ∮B⃗ .dl→=πμ0I the expression for Ampere’s circuital law is ∮B⃗ ⋅dl⃗ =μ0I where I is the current included in the surface bounded by the line integral.