Home
Class 12
PHYSICS
A charged particle of mass m = 2 kg and ...

A charged particle of mass m = 2 kg and charge `1 muC` is projected from a horizontal ground at an angle `theta=45^@` with speed `10ms^(-1)`. In space, a horizontal electric field towards the direction of projection `E = 2 xx 10^(7) NC^(-1)` exists. The range of the projectile is

A

20 m

B

60 m

C

200 m

D

180 m

Text Solution

Verified by Experts

The correct Answer is:
A
`a_(x)=(qE)/(m)=(10^(-4)xx2xx10^(7))/(2)=10ms^(-2)`
Tune of flight `=(2usintheta)/(g)=(2xx10xx(1)/(sqrt(2)))/(10)=sqrt(2)s`
Hence `R=u_(x)T+(1)/(2)a_(x)T^(2)`
`=10cos45^(@)xxT+(1)/(2)a_(x)T^(2)`
`=(10)/(sqrt(2))xxsqrt(2)+(1)/(2)xx10xx2`
`=20m`.
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 charged particle of mass m = 1 kg and charge q = 2muC is thrown from a horizontal ground at an angle theta = 45^@ with the speed 25 m//s . In space, a horizontal electric field E = 2 xx 10^7 V/m exists in the direction of motion. Find the range on horizontal ground of the projectile thrown. Take g = 10 m//s^2 .

A charged particle of mass m=1 kg and charge q=2muC is thrown for a horizotal ground at an angle theta=45^@ with speed 20 m//s . In space a horizontal electric field E=2xx10^(7) V/m exist. Find the range on horizontal ground of the projectile thrown.

A charged particle of mass m= 2kg and charge 1 muC is thrown from a horizontal ground at an angle of 45^(@) with horizontal with a spedd of 10m//s . In space a horizontal electric field E= 2xx10^(7)N//C exists. Find the range of the projectile

A particle is projected from horizontal ground at angle 'theta' with speed 'u'. In same plane of motion a horizontal acceleration 'a' exists so that projected particle returns back to point of projection. Find time of flight.

A particle of mass m and charge -q is projected from the origin with a horizontal speed v into an electric field of intensity E directed downward. Choose the wrong statement. Neglect gravity

A particle of mass m and charge q is thrown with initial velocity v_(0) at an angle with the horizontal. In space there exist an electric field of strength E at angle beta with the downward vertical away from the point of projection. Find the time of flight and range of projectile on horizontal ground

From the ground, a projectile is fired at an angle of 60 degree to the horizontal with a speed of 20" m s"^(-1) The horizontal range of the projectile is

A particle is projected from horizontal making an angle of 53^(@) with initial velocity 100 ms^(-1) . The time taken by the particle to make angle 45^(@) from horizontal is