Home
Class 11
PHYSICS
Two cities A and B are connected by a re...

Two cities `A and B` are connected by a regular bus service with buses plying in either direction every `T` seconds. The speed of each bus is uniform and equal to `V_b`. A cyclist cycles from `A to B` with a uniform speed of `V_c`. A bus goes past the cyclist in `T_1` second in the direction `A to B` and every `T_2` second in the direction `B to A`. Then

A

`T_1 = (V_b T)/(V_b + V_c)`

B

`T_2 = (V_b T)/(V_b - V_c)`

C

`T_1 = (V_b T)/(V_b - V_c)`

D

`T_2 = (V_b T)/(V_b + V_c)`

Text Solution

Verified by Experts

The correct Answer is:
C, D
(c.,d.) Distance between two buses on road is `V_bT`.
For `A to B` direction :
Distance = Relative velocity xx Time
`V_b T=(V_b - V_c)T_1 rArr T_1 = (V_b T)/(V_b - V_c)`
For `B to A` direction :
`V_b T =(V_b + V_c)T_2 rArr T_2 = (V_b T)/(V_b + V_c)`.
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS-2

    CENGAGE PHYSICS|Exercise Exercise Assertion - Reasoning|5 Videos

  • KINEMATICS-2

    CENGAGE PHYSICS|Exercise Exercise Comprehension|21 Videos

  • KINEMATICS-2

    CENGAGE PHYSICS|Exercise Exercise Single Correct|76 Videos

  • KINEMATICS-1

    CENGAGE PHYSICS|Exercise Integer|9 Videos

  • KINETIC THEORY OF GASES

    CENGAGE PHYSICS|Exercise Compression|2 Videos

Similar Questions

Explore conceptually related problems

Two towns A and B are connected by a regular bus service with a bus leaving in either direction every T min A man cycling with a speed of 20 km h^(-1) in the direction A to B notices that a bus goes past him every 18 min in the direction of his motion, and every 6 min in the opposite direction. What is the period T of the bus service and with what speed (assumed constant )do the buses ply on the road?

Chandigarh and Ambala are connected with a regular bus service. A bus leaving in either direction every T minutes. A boy cycling with a speed of 10 km h^(-1) from Chandigarh to Ambala notices that a bus crosses him after every 15 minutes towards Ambala and after every 5 minutes towards Chandigarh. Calculate the time T and the speed of the buses. Assume that speed of buses is constant.

A bus is running with a uniform speed of 37 km/h. What distance will be covered by bus in 8 h?

A particle is moving along a circle of radius R with a uniform speed v . At t = 0 , the particle is moving along the east. Find the average acceleration (magnitude and direction) in (a) 1//4 th revolution and (b) 1//2 revolution.

A bus travels at the speed of 36 km/h. The distance covered by it in one second is

Consider two cities P and Q berween which consistent bus servece is available in both directions. Every x mimutes A morning jogging towards Q from P wigh a speed of 10 km h^(-1) . Every 18 mim a bus crosses this jogger in its own direction of motion and every 6 min another bus crosses in opposite derection. What is time prerilod between two consecutive buses and also find the speed of buses ?.