Home
Class 11
PHYSICS
Six particles situated at the corners of...

Six particles situated at the corners of a regular hexagon of side a move at a constant speed v. Each particle maintains a direction towards the particle at the next corner. Calculate the time the particles will take to meet each other.

A

`v/a`

B

`(2a)/v`

C

`(2a)/(v(2+sqrt(3)))`

D

`(2a)/(v(2-sqrt3))`

Text Solution

Verified by Experts

The correct Answer is:
D
d. `t = a/(v-vcospi/n). Here n = 12`

`rArr t = a/(v-vcos)(2pi/(12)) = (2a)/(v(2-sqrt3))`.
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS KINEMATICS

    CENGAGE PHYSICS|Exercise Multiple Correct Answer Type|26 Videos

  • MISCELLANEOUS KINEMATICS

    CENGAGE PHYSICS|Exercise Linked Comprehension Type|35 Videos

  • LINEAR AND ANGULAR SIMPLE HARMONIC MOTION

    CENGAGE PHYSICS|Exercise Multiple Correct Answer Type|9 Videos

  • MISCELLANEOUS VOLUME 2

    CENGAGE PHYSICS|Exercise INTEGER_TYPE|10 Videos

Similar Questions

Explore conceptually related problems

Four particles situated at the corners of a square of side ‘a’ move at a constant speed v. Each particle maintains a direction towards the next particle in succession. Calculate the time particles will take to meet each other.

Three particles of masses 1 kg, 2 kg and 3 kg are situated at the corners of an equilateral triangle move at speed 6ms^(-1), 3ms^(-1) and 2ms^(-1) respectively. Each particle maintains a direction towards the particles at the next corners symmetrically. Find velocity of CM of the system at this instant

Four particles of masses 1 kg, 2 kg, 3 kg, and 4 kg are situated at the corners of a square and moving at speed 3 ms^(-1), 4 ms^(-1), 1 ms^(-1) and 2 ms^(-1) respectively. Each particle maintains a direction towards the particle at the next comer symmetrically. The momentum of the system at this instant is

six particles are situated at the corners of a regular hexagon. These particles start moving with equal speed of 10 m/s in such that velocity of any one particle is directed towards the next particle. Find the rate (in m/s) at which length of a side of the hexagon is decreasing.

Six identical particles each of mass m are arranged at the corners of a regular hexagon of side length L . If the mass of one of the particle is doubled, the shift in the centre of mass is

A particle is moving in a circle with a constant speed, the acceleration of the particle has

Six particles each of mass m are placed at the corners of a regular hexagon of edge length a . If a point mass m_0 is placed at the centre of the hexagon, then the net gravitational force on the point mass is

A particle moves along a semicircular path of radius R in time t with constant speed. For the particle calculate

Four particles A, B, C and D are situated at the cornerst of a square ABCD of side a at t-0 . Each of particles moves with constant speed (v). A always has its velocity along AB, B along BC, C along CB~ and D along DA . At what time will these particles meet each other ?