BITSAT 2023Paper 2
- Exam
- BITSAT
- Year
- 2023
- Paper
- Paper 2
- Subject
- Physics
- Chapter
- Motion in One Dimension
BITSAT 2023 · Paper 2 · Physics · Motion in One Dimension
A passenger sitting in a train A moving at 90 km /h observes...
A passenger sitting in a train A moving at observes another train B moving in the opposite direction for . If the velocity of the train B is , then length of train B is :
Options
- A
- B
- C
- D
Correct answer
D.
Step-by-step solution
Velocity of train A
(\mathrm{V}_{\mathrm{A}}=90 \frac{\mathrm{km}}{\mathrm{hr}}=90 \times \frac{5}{18}=25 \mathrm{ m}/ \mathrm{s})
Velocity of train B
(\mathrm{V}_{\mathrm{B}}=54 \frac{\mathrm{km}}{\mathrm{hr}}=54 \times \frac{5}{18}=15 \mathrm{ m}/ \mathrm{s})
Velocity of train B w.r.t. train
Time of crossing (=\frac{\text{ length of train }}{\text{ relative velocity }})
((8)=\frac{\ell}{40})
(\ell=8 \times40=320) meter.
(\mathrm{V}_{\mathrm{A}}=90 \frac{\mathrm{km}}{\mathrm{hr}}=90 \times \frac{5}{18}=25 \mathrm{ m}/ \mathrm{s})
Velocity of train B
(\mathrm{V}_{\mathrm{B}}=54 \frac{\mathrm{km}}{\mathrm{hr}}=54 \times \frac{5}{18}=15 \mathrm{ m}/ \mathrm{s})
Velocity of train B w.r.t. train
Time of crossing (=\frac{\text{ length of train }}{\text{ relative velocity }})
((8)=\frac{\ell}{40})
(\ell=8 \times40=320) meter.