Home
Class 12
PHYSICS
A particle A has chrage +q and a particl...

A particle `A` has chrage `+q` and a particle `B` has charge `+4q` with each of them having the same mass `m`. When allowed to fall from rest through the same electric potential difference, the ratio of their speed `(v_(A))/(v_(B))` will become

A

`2:1`

B

`1:2`

C

`1:4`

D

`4:1`

Text Solution

Verified by Experts

The correct Answer is:
B
`K=qV implies1/2mv^2=qV implies v=sqrt((2q)/m)`
v = Velocity
V = Potential
`v_A/v_B=sqrt(q_1/q_2)=sqrt(q/(4q))=1/2`
Promotional Banner

Similar Questions

Explore conceptually related problems

A cathod rays particle is accelerated from rest through a potential difference of V volt. The speed of the particle is

An alpha -particle and a proton are accelerated from rest through the same potential difference V. Find the ratio of de-Broglie wavelength associated with them.

A electron beam particle is accelerated from rest through a potential difference of V volt. The speed of the particle is

An electron of mass m and charge e is accelerated from rest through a potential difference V in vacuum. The final speed of the electron will be

A particle of charge q and mas m si accelerated from set through a potential difference V . Its de Broglie wavelength is equal to

The ratio of de-Broglie wavelength associated with a proton and a mu -particle accelerated through the same potential difference 'V' is

The ratio of the deBroglie wavelengths of proton, deuteron and alpha particle accelerated through the same potential difference 100V is

The answer to each of the following questions is a single-digit integer ranging from 0 to 9. Darken the correct digit. There is one particle A having charge q and mass m. There is another particle B of charge eight times and mass two times to that of A. Both the particles are accelerated through the same potential difference. Let speeds acquired by the particles A and B be v_(A) and v_(B) respectively, then calculate v_(B)//v_(A) .

A particle of charges Q and mass m travels through a potential difference V from rest. The final momentum of the particle is