Home
Class 12
PHYSICS
A positively charged particle P enters t...

A positively charged particle P enters the region between two parallel plates with a velocity u, in a direction parallel to the plates. There is a uniform electric field in this region. P emerges from this region with a velocity v. Taking C as a constant, v will depend on u as

A

`v = Cu`

B

`v = (sqrt(u^2+Cu))`

C

`v = (sqrt(u^2+C/u))`

D

`v = (sqrt(u^2 + C/u^2))`

Text Solution

Verified by Experts

The correct Answer is:
D
`l` is the length of the each tube `u_(x)=u` constant. Time of travel between the plates is `t=l//u` let `a` be constant acceleration in y-direction so `v_(y)=at` when the particle emerges from the plates so
`v^(2)=u_(x)^(2)+v_(y)^(2)=u^(2)+a^(2)t^(2)`
`=u^(2)+a^(2)(l^(2))/(u^(2))=u^(2)+(C)/(u^(2))` (where `a^(2)l^(2)=C`)
So, `v=sqrt(u^(2)+(C)/(u^(2)))`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS VOLUME 3

    CENGAGE PHYSICS|Exercise Multiple Correct Answer type|109 Videos

  • MISCELLANEOUS VOLUME 3

    CENGAGE PHYSICS|Exercise Assertion and Reason Type|8 Videos

  • MECHANICAL PROPERTIES OF SOLIDS

    CENGAGE PHYSICS|Exercise Question Bank|4 Videos

  • MISCELLANEOUS VOLUME 5

    CENGAGE PHYSICS|Exercise Integer|12 Videos

Similar Questions

Explore conceptually related problems

A positive charged particle P enters the region between two parallel plates with a velocit u , in a direction parallel to the plates. There is a uniform electric field in the region. P emerges from this region with a velocit v . Taking C as a constant v will depend on u as

A charged particle is at rest in the region where magnetic field and electric field are parallel. The particle will move in a

A n electrically charged particle enters into a uniform magnetic induction field in a direction perpendicular to the field with a velocity v then it travels

A positively charged particle moving due east enters a region of uniform magnetic field directed vertically upwards. The partical will be

The electric field (vec( E)) between two parallel plates of a capacitor will be uniform if.

A charged parallel-plate capacitor is moving with respect to a certain system of coordinates with a velocity v directed parallel to the plates. What is the ratio of tho electric field between the plates in this coordinate system to the same quantity in the system of coordinates in which the capacitor is at rest ?

A charged particle is projected perpendicular to the direction of uniform electric field. It's path in the region of the field will be