A charged particle of mass m - 2 kg and charge q -2 - C is thrown from a horizontal ground at an angle -45- with the speed 25 m-s- In space a horizontal electric field E -2 - 107 V-m exist in the direction of motion- The range on horizontal ground of the projectile thrown is 3-125 - 10x m - Find x- Take g - 10 ms-2-

Time of flight = t= 2 u_y/g horizontal acceleration of charge = a= Eq/m inital velocity along horizontal = u_x=u_y=25 cos 45 = 25/√(2) range = ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Banking of Roads

A charged par...

Question

A charged particle of mass $m = 2 k g$ and charge $q = 2 μ C$ is thrown from a horizontal ground at an angle $θ = 45^{\circ}$ with the speed $25 m / s$ , In space a horizontal electric field $E = 2 \times 10^{7}$ V/m exist in the direction of motion, The range on horizontal ground of the projectile thrown is $3.125 \times 10^{x} m$ . Find $x$ . Take $g = 10 m s^{- 2}$ .

Open in App

Solution

time of flight = $t = \frac{2 u_{y}}{g}$
horizontal acceleration of charge = $a = \frac{E q}{m}$
inital velocity along horizontal = $u_{x} = u_{y} = 25 c o s 45 = \frac{25}{\sqrt{2}}$
range = $u_{x} t + \frac{1}{2} a t^{2} = 312.5 m$

Suggest Corrections

Similar questions

Q. A charged particle of mass

m = 1 kg

and charge

q = 2 μ C

is thrown from the ground at an angle

θ = 45^{\circ}

with the horizontal, with initial speed

20 m/s

. In the space a horizontal electric field of magnitude

E = 2 \times 10^{7} V/m

exists. Find the range covered by the projectile on the horizontal ground.

[g = 10 {m/s}^{2}]

Q. A charged particle of mass m = 1 kg and charge q = 2

μ

C is thrown from a horizontal ground at an angle

θ = 45^{\circ}

with speed 20 m

s^{- 1}

. In space a horizontal electric field

\to E = 2 \times 10^{7}^i V m^{- 1}

exists. The range on the horizontal ground of the projectile thrown is

Q. A charged particle of mars

m = 1 kg

and charge

q = 2 μ C

is thrown from a horizontal ground at an angle of

θ = 45^{\circ}

with speed of

20 m/s

. In space a horizontal electric field

E = 2 \times 10^{7} V/m

exists. Find the range on horizontal ground of the projectile thrown.
Assume that gravity is vertical and

g = 10 {m/s}^{2}

The surface of a planet is found to be uniformly charged. When a particle of mass $m$ and no charge is thrown at an angle from the surface of the planet, it has a parabolic trajectory as in projectile motion with horizontal range $L$ . A particle of mass $m$ and charge $q$ with the same initial conditions has a range $\frac{L}{2}$ . The range of particle of mass $m$ and charge $2 q$ with the same initial conditions is :

A ball is thrown from ground level of a field with a speed of 12.0 m/s at an angle of $45^{\circ}$ with the horizontal. At what distance will it hit the field again? Take g = 10.0 m/ $s^{2}$ .

___

Join BYJU'S Learning Program

time of flight = t=2uyghorizontal acceleration of charge = a=Eqminital velocity along horizontal =ux=uy=25cos45=25√2range = uxt+12at2=312.5m

time of flight = $t = \frac{2 u_{y}}{g}$
horizontal acceleration of charge = $a = \frac{E q}{m}$
inital velocity along horizontal = $u_{x} = u_{y} = 25 c o s 45 = \frac{25}{\sqrt{2}}$
range = $u_{x} t + \frac{1}{2} a t^{2} = 312.5 m$