Circular Kinematics
Trending Questions
Q. Two positive and equal charges are fixed at certain distance. A third charge (small) is placed in between the line joining of the two charges and it experiences zero net force due to the other two.
- The equilibrium is always stable
- The equilibrium is stable if small charge is positive and is displaced along the line joining two charges.
- The equilibrium is not stable
- The equilibrium is stable if small charge is negative and is displaced along the line joining two charges.
Q. In XY−plane, there is surface charge density of 5×10−16 Cm−2 on a long uniformly charged sheet. A circular loop of radius 0.1 m makes an angle of 60∘ with Z-axis. Determine the electric flux through the loop ?
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1116624/original_19q_WS.png)
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1116624/original_19q_WS.png)
- 9.46×10−7 Nm2C−1
- 7.68×10−9 Nm2C−1
- 9.46×10−9 Nm2C−1
- 7.68×10−7 Nm2C−1
Q. For the given semi-infinite rod, if a positive test charge at rest is kept at point P, then it will take path
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1107215/original_1.1.png)
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1107215/original_1.1.png)
- PR
- PQ
- PS
- PT
Q. The length of second's hand in a watch is 1 cm. The change in velocity of its tip in 15 seconds is
- Zero
- π30√2 cm /sec
- π30 cm/sec
- π√230 cm /sec
Q. When a charged particle circulates in a normal magnetic field, then the area of its circulation is proportional to
- its kinetic energy
- its momentum
- its charge
- Magnetic fields intensity
Q. Two identical particles having the same mass m and charges +q and −q, separated by a distance d, enter in a uniform magnetic field B directed perpendicular to paper inward with speeds v1 and v2 as shown in the figure. The particles will not collide if
![](https://s3-us-west-2.amazonaws.com/infinitestudent-images/ckeditor_assets/pictures/616278/original_6.png)
![](https://s3-us-west-2.amazonaws.com/infinitestudent-images/ckeditor_assets/pictures/616278/original_6.png)
- d>mBq(v1+v2)
- d>mBq(v1+v2)
- d>2mBq(v1+v2)
- v1=v2
Q. Four charge particles He++, proton, deutron and Li++ enters a region of uniform magnetic field and moves in circular path of different radius. List I gives above four paticles while List II gives magnitude of some quantity.
List IList III - He++P) 1II - ProtonQ) 2III - deutronR) 1√2IV) Li++S) √2T) √72U) 12
If momentum of all four particles is same then correct match for radius of four particles in units of radius of proton is
List IList III - He++P) 1II - ProtonQ) 2III - deutronR) 1√2IV) Li++S) √2T) √72U) 12
If momentum of all four particles is same then correct match for radius of four particles in units of radius of proton is
- I - P, II - P, III - U, IV - U
- I - U, II - P, III - P, IV - T
- I - U, II - P, III - Q - IV - T
- I - U, II - P, III - P, IV - U
Q. Four charge particles He++, proton, deutron and Li++ enters a region of uniform magnetic field and moves in a circular path of different radius. List I gives above four particles while list II gives magnitude of some quantity.
List IList III - He++P) 1II - ProtonQ) 2III - deutronR) 1√2IV) Li++S) √2T) √72U) 12
If kinetic energy of all four particles is same than correct match for radius of four particles in units of radius of proton is
List IList III - He++P) 1II - ProtonQ) 2III - deutronR) 1√2IV) Li++S) √2T) √72U) 12
If kinetic energy of all four particles is same than correct match for radius of four particles in units of radius of proton is
- I−P, II−P, III−S, IV→T
- I→Q, II−P, III−S, IV→T
- I→S, II−P, III−S, IV−T
- I−R, II−P, III−S, IV−T
Q. An electron, a proton, a deuteron and an alpha particle, each having the same speed are in a magnetic field perpendicular to the direction of the velocities of the particles. The radius of the circular orbits of these particles are respectively Re, Rp, Rd and Rα. It follows that
- Re=2Rp
- Rp=Rd
- Rd=Rα
- Rp=Rα
Q. A charged particle of charge q and mass m is moving with velocity v (as shown in the figure) in a uniform magnetic field B along negative z – direction. Select the correct alternative(s).
![](https://s3-us-west-2.amazonaws.com/infinitestudent-images/ckeditor_assets/pictures/616293/original_13.png)
![](https://s3-us-west-2.amazonaws.com/infinitestudent-images/ckeditor_assets/pictures/616293/original_13.png)
- Velocity of the particle when it comes out from the magnetic field is →v=vcos60∘^+v sin60∘^j
- Time for which the particle was in magnetic field is πm3qB
- Distance travelled in magnetic field is πmv3qB
- None of these
Q. An α particle and a proton travel with same velocity in a magnetic field perpendicular to the direction of their velocities, find the ratio of the radii of their circular path
- 4 : 1
- 1 : 4
- 2 : 1
- 1 : 2
Q. Electrons move at right angle to a magnetic field of 1.5×10−2 Tesla with a speed of 6×107 m/s. If the specific charge of the electron is 1.7×1011 C/kg, then the radius of the circular path will be?
- 2.9 cm
- 3.9 cm
- 2.35 cm
- 3 cm
Q. A proton is projected with a velocity 107m/s at right angle to a uniform magnetic field of induction 100 mT. The time taken by proton to traverse 90∘ arc is
- 0.8×10−7s
- 1.57×10−7s
- 2.43×10−7s
- 3.24×10−7s
Q. A proton and an α particle enter a uniform magnetic field with same velocity, then ratio of the radii of path describe by them will be?
- 1 : 2
- 1 : 1
- 2 : 1
- None of these
Q. A charge q, m enters a finite B - field with a speed v as shown (such that the charge enters the magnetic field region perpendicularly at a distance L from the top left corner in the figure). Find its deviation if v=2qBLm
![](https://s3-us-west-2.amazonaws.com/infinitestudent-images/ckeditor_assets/pictures/43387/content_1.png)
![](https://s3-us-west-2.amazonaws.com/infinitestudent-images/ckeditor_assets/pictures/43387/content_1.png)
- δ=π6
- δ=π3
- δ=π4
- δ=π
Q. A proton, a deuteron and an α - particle having same momentum enters a region of uniform magnetic field. Relation between radius of there trajectories is best given by
- RP=Rd=Rα
- Rp>Rd>Rα
- Rp=Rd>Rα
- Rp=Rd<Rα
Q. A proton and an α particle enter a uniform magnetic field with same velocity, then ratio of the radii of path describe by them will be?
- 1 : 2
- 1 : 1
- 2 : 1
- None of these
Q. An electron (mass = 9×10−31kg, charge =1.6×10−19 C ) whose kinetic energy is 7.2×10−20 J is moving in a circular orbit in a magnetic field of 9×10−5 weber/m2. The radius of the orbit is
- 1.25 cm
- 2.5 cm
- 12.5 cm
- 25.0 cm
Q. An electron of mass m is accelerated through a potential difference of V and then it enters a magnetic field of induction B normal to the lines. Then, the radius of the circular path is
- √2eVm
- √2VmeB2
- √2VmeB
- √2Vme2B
Q. Two identical particles having the same mass m and charges +q and −q, separated by a distance d, enter in a uniform magnetic field B directed perpendicular to paper inward with speeds v1 and v2 as shown in the figure. The particles will not collide if
![](https://s3-us-west-2.amazonaws.com/infinitestudent-images/ckeditor_assets/pictures/616278/original_6.png)
![](https://s3-us-west-2.amazonaws.com/infinitestudent-images/ckeditor_assets/pictures/616278/original_6.png)
- d>mBq(v1+v2)
- d>mBq(v1+v2)
- d>2mBq(v1+v2)
- v1=v2
Q. An electron (mass = 9×10−31kg, charge =1.6×10−19 C ) whose kinetic energy is 7.2×10−20 J is moving in a circular orbit in a magnetic field of 9×10−5 weber/m2. The radius of the orbit is
- 1.25 cm
- 2.5 cm
- 12.5 cm
- 25.0 cm
Q. An electron and a proton with equal momentum enter perpendicularly into a uniform magnetic field, then
- The path of proton shall be more curved than that of electron
- The path of proton shall be less curved than that of electron
- Both are equally curved
- Path of both will be straight line
Q.
The radius of curvature of the path of the charged particle in a uniform magnetic field is directly proportional to
[MNR 1995; UPSEAT 1999, 2000]
The charge on the particle
The momentum of the particle
The energy of the particle
The intensity of the field
Q. A proton, a deuteron and an α− particle having the same kinetic energy are moving in circular trajectories in a constant magnetic field. If rp, rd and rα denote the radii of the trajectories of these particles respectively, then
- rα=rp<rd
- rα>rd>rp
- rα=rd>rp
- rp=rd>rα