Home
Class 12
PHYSICS
A particle of charge per unit mass alpha...

A particle of charge per unit mass `alpha` is released from the origin with velocity `v=v_(0)hati` in the magnetic field `vecB=-B_(0)hatk` for A cup of tea cools from `80^(@)C" to "60^(@)C` in 40 seconds. The ambient temperature is `30^(@)C`. In cooling from `60^(@)C" to "50^(@)C`, it will take time: `x le (sqrt3)/(2)(v_(0))/(B_(0)alpha) and vecB=0" for "x gt (sqrt3)/(2)(v_(0))/(B_(0)alpha)`
The x - coordinate of the particle at time `t(gt(pi)/(3B_(0)alpha))` would be

A

`(sqrt3)/(2)(v_(0))/(B_(0)alpha)+(sqrt3)/(2)v_(0)(t-(pi)/(B_(0)alpha))`

B

`(sqrt3)/(2)(v_(0))/(B_(0)alpha)+v_(0)(t-(pi)/(3B_(0)alpha))`

C

`(sqrt3)/(2)(v_(0))/(B_(0)alpha)+(v_(0))/(2)(t-(pi)/(3B_(0)alpha))`

D

`(sqrt3)/(2)(v_(0))/(B_(0)alpha)+(v_(0)t)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

A particle of charge per unit mass alpha is released from origin with a velocity vecv=v_(0)hati uniform magnetic field vecB=-B_(0)hatk . If the particle passes through (0,y,0) , then y is equal to

Choose the correct option: A particle of charge per unit mass alpha is released from origin with a velocity vecv=v_(0)hati in a magnetic field vec(B)=-B_(0)hatk for xle(sqrt(3))/2 (v_(0))/(B_(0)alpha) and vec(B)=0 for xgt(sqrt(3))/2 (v_(0))/(B_(0)alpha) The x -coordinate of the particle at time t((pi)/(3B_(0)alpha)) would be

A particle of specific charge alpha is projected from origin with velocity v=v_0hati-v_0hatk in a uniform magnetic field B=-B_0hatk . Find time dependence of velocity and position of the particle.

A charged particle (q.m) released from origin with velocity v=v_(0)hati in a uniform magnetic field B=(B_(0))/(2)hati+(sqrt3B_(0))/(2)hatJ . Maximum z-coordinate of the particle is

A charge praticule of sepeific charge (charge/ mass ) alpha is realsed from origin at time t=0 with velocity v= v_(0)(hati+hatj) in unifrom magnetic fields B= B_(0)hati . Co-ordinaties of the particle at time t = (pi)/(B_(0)alpha) are

An electron is moving with an initial velocity vecv=v_(0)hati and is in a magnetic field vecB=B_(0)hatj . Then it's de-Broglie wavelength

An electron is moving with an initial velocity vecv=v_(0)hati and is in a magnetic field vecB=B_(0)hatj . Then it's de-Broglie wavelength

A charged particle (q.m) released from origin with velocity v=v_(0)hati in a uniform magnetic field B=(B_(0))/(2)hati+(sqrt3B_(0))/(2)hatJ . Z-component of velocity is (sqrt3v_(0))/(2) after in t=……….

A charged particle (q.m) released from origin with velocity v=v_(0)hati in a uniform magnetic field B=(B_(0))/(2)hati+(sqrt3B_(0))/(2)hatJ . Pitch of the helical path described by the particle is

A particle of charge q and mass m is projected from the origin with velocity v=v_0 hati in a non uniformj magnetic fiedl B=-B_0xhatk . Here v_0 and B_0 are positive constants of proper dimensions. Find the maximum positive x coordinate of the particle during its motion.