Home
Class 12
PHYSICS
A proton is travelling with horizontal v...

A proton is travelling with horizontal velocity `v_x=2*5xx10^8cms^-1`. Calculate the transverse deflection in travelling horizontal distance, `x=5cm` in electric field of `E_y=400V//cm`. Mass of proton, `m=1*6xx10^(-24)g`, charge on proton, `e=1*6xx10^(-19)C`.

Text Solution

Verified by Experts

Here, mass of proton,
`m=1*6xx10^(-24) g=1*6xx10^(-27)kg`,
Charge on proton,
`e=1*6xx10^(-19)C`.
Strength of elecetric field along Y-axis,
`E_y=400V//cm=4xx10^4V//m`.
Distance travelled along X-axis,
`x=5cm=0*05m`.
Velocity of proton along X-axis,
`v_x=2*5xx10^8cms^-1=2*5xx10^6m//s`
The time t for which the proton remains inside the electric field is `t=x/v_x=(0*05)/(2*5xx10^6)=2xx10^(-8)s`
Force on proton along Y-axis is,
`F_y=eE_y=(1*6xx10^(-19))xx(4xx10^4)N`
Acceleration of proton along `y-`axis is,
`a_y=F_y/m=(1*6xx10^(-19)xx4xx10^4)/(1*6xx10^(-27))`
`=4xx10^(12)ms^-2`
Taking motion of proton along Y-axis, for time t, we have
`u_y=0, a_y=4xx10^(12)ms^-2, t=2xx10^(-8)s`,
`y=?`
As, `y=u_yt+1/2a_yt^2`
`:. y=0xx2xx10^-8+1/2xx(4xx10^(12))xx(2xx10^-8)^2`
`=8xx10^-4m=0*8mm`
Promotional Banner

Topper's Solved these Questions

  • MAGNETIC EFFECT OF CURRENT AND MAGNETISM

    PRADEEP|Exercise Conceptual Problems (d)|2 Videos

  • MAGNETIC EFFECT OF CURRENT AND MAGNETISM

    PRADEEP|Exercise Very Short Answer Questions (a)|2 Videos

  • ELECTROSTATICS

    PRADEEP|Exercise ASSERTION-REASON TYPE QUESTIONS|2 Videos

  • OPTICS

    PRADEEP|Exercise Multiple choice questions|1 Videos

Similar Questions

Explore conceptually related problems

The maximum kinetic energy of protons in a cyclotron of radius 0.4 m in a magnetic field of 0.5 T is (mass of proton = 1.67 xx 10^(-27) kg, charge of proton = 1.6 xx 10^(-19) C)

If the maximum value of accelerating potential provided by a radio frequency oscillator be 10kV , calculate the number of revolutions made by an alpha -particle in a cyclotron to achieve one-tenth of the speed of light. Mass of proton =1*67xx10^(-27)kg , charge on proton =1*6xx10^(-19)C .

A proton is projected with a velocity 10^(7)ms^(-1) , at right angles to a uniform magnetic field of induction 100mT . The time ( in second ) taken by the proton to traverse 90^(@) are is : ( Mass of proton =1.65xx10^(-27)kg an charge of proton =1.6 xx10^(-19)C)

The intensity of electric field required to balance a proton of mass 1.7xx10^(-27)kg and chrage 1.6 xx 10^(-19) C is nearly

The figure shows a region of length ‘l’ with a uniform magnetic field of 0.3 T in it and a proton entering the region with velocity 4xx10^(5) " ms"^(-1) making an angle 60^(@) with the field. If the proton completes 10 revolution by the time it cross the region shown, ‘l’ is close to (mass of proton = 1.67 xx10^(27) kg , charge of the proton =1.6 xx10^(-19) C )

A beam of protons with a velocity 4 xx 10^(5) m/sec enters a uniform magnetic field of 0.3 Testa at an angle of 60^(@) to the magnetic field. Find the radius of the helical path taken by the proton beam. Also find the pitch of the helix, which is the distance travelled by a proton in the beam parallel to the magnetic field during one period of rotation [Mass of proton = 1.67 xx 10^(-27) kg. charge on proton = 1.6 xx 10^(19)C ]

An electron enters electric field of 10^4V//m perpendicular to the field with a velocity of 10^7m//s . Find the vertical displacement of electron after 2 milliseconds. Mass of electron =9*1xx10^(-31)kg , charge on electron =1*6xx10^(-19)C .

Calculate the electric potential energy of an electron-proton system of an atom . The radius of the orbit of the electron is 21.16xx10^(-11) m the charge on electron is 1.6xx10^(-19)C .

A proton is accelerated in cyclotron with dees of radius 40 cm has a operating frequency of 12 MHz. Calculate the magnitude of magnetic field. Given mass of proton, m_(P) = 1.67 xx 10^(-27) kg and charge on proton q_(P) = 1.6 xx 10^(-19) C .

Calculate the charge on ._(26)F^(56) nucleus. Given charge on a proton =1.6xx10^(-19) C.