JEE MainPhysicsMotion in A Straight LineMCQ+4 / −1
Two trains 'A' and 'B' of length '' and '' are travelling into a tunnel of length '' in parallel tracks from opposite directions with velocities and , respectively. If train 'A' takes less time than train 'B' to cross the tunnel then. length '' of tunnel is : (Given )
- A900 m
- B1200 m
- C1800 m
- D2700 m
View written solutionFree
Correct answer: C
- Convert speeds into SI units
Train A:
Train B:
- Time taken by each train to completely cross the tunnel
To completely cross a tunnel, a train must cover:
So,
For train A (length ):
For train B (length ):
Given that train A takes s less time than train B:
Thus,
- Use the given relation
Substitute :
Take LCM :
- Find tunnel length
- Check options
So the correct option is C.
More from Motion in A Straight Line
- The distance travelled by an object in time is given by . The instantaneous speed of the object at will be:2023 · MCQ
- A passenger sitting in a train A moving at observes another train moving in the opposite direction for . If the velocity of the train B is , then…2023 · MCQ
- The position of a particle related to time is given by . The magnitude of velocity of the particle at will be :2023 · MCQ
- The velocity time graph of a body moving in a straight line is shown in the figure. The ratio of displacement to distance travelled by the body in time 0 to 10s is : Includes diagram2023 · MCQ
- A car travels a distance of '' with speed and then same distance '' with speed in the same direction. The average speed of the car is :2023 · MCQ
- The distance travelled by a particle is related to time t as . The velocity of the particle at t=5s is :-2023 · MCQ
- A tennis ball is dropped on to the floor from a height of 9.8 m. It rebounds to a height 5.0 m. Ball comes in contact with the floor for 0.2s. The average acceleration during contact is ms . (Given g = 10…2023 · Numerical
- Match Column-I with Column-II : Choose the correct answer from the options given below: Includes table Includes diagram2023 · MCQ