Home
Class 12
PHYSICS
A particle moves from A to B in a circul...

A particle moves from A to B in a circular path of radius R covering an angle `theta` as shown in figure. Find the ratio of magnitude of distance and magnitude of displacement of the particle.

A

`(theta)/(2) .sin theta`

B

`(theta)/(2 sin .(theta)/(2))`

C

`(theta)/(2 sin theta)`

D

`(theta)/(sin.(theta)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Distance = Arc `AB = R theta`
Displacement `= 2R sin. (theta)/(2)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A person moves on a track ABC as shown in figure (angleB = 90^(@)) . Find distance and magnitude of displacement.

A particle goes along a quadrant of a circle of radius 10m from A to B as shown in fig. Find the magnitude of displacement and distance along the path AB, and angle between displacement vector and x-axis ?

Knowledge Check

  • A particle moves in a circular path of radius R with an angualr velocity omega=a-bt , where a and b are positive constants and t is time. The magnitude of the acceleration of the particle after time (2a)/(b) is

    A
    `(a)/(R)`
    B
    `a^(2)R`
    C
    `R(a^(2)+b)`
    D
    `Rsqrt(a^(4)+b^(2))`

  • A particle is moving uniformly in a circular path of radius r. When it moves through an angular displacement theta , then the magnitude of the corresponding linear displacement will be

    A
    2 r cos `((theta)/(2))`
    B
    2 r cot `((theta)/(2))`
    C
    2 r tan `((theta)/(2))`
    D
    2 r sin `((theta)/(2))`

  • A particle moves along a path ABCD as shown in the figure. Then the magnitude of net displacement of the particle from position A to D is:

    A
    `10 m`
    B
    `5sqrt(2) m`
    C
    `9m`
    D
    `7sqrt(2) m`

    • Similar Questions

    Explore conceptually related problems

    A particle is moving in a circular path of radius r. The displacement after half a circle would be

    A particle is moving in a circular path of radius r. The displacement after half a circle would be

    A particle is moving in a circular path of radius r. The displacement after half a circle would be

    The path of particle is shown in figure. The ratio of distance travelled and magnitude of displacement is : EF=AB=2m FG =BC =2m CD=DE =1m

    A particle moves along a circular path of radius R. The distance and displacement of the particle after one complete revolution is

    Home
    Profile