- Dr.Sanjaykumar Pawar
Train Crossing Bridge Numerical Questions with Solutions | Class 11 Physics
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| Train Crossing Bridge Numerical for CBSE Class 11 Physics with Step-by-Step Solution |
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CBSE Class 11 Physics
Practice Questions and Answers
Topic: Motion in a Straight Line – Train Crossing Bridge with Constant Acceleration
Question 1
A 120 m long train crosses a 480 m long bridge with a constant acceleration of 1 m/s². The train enters the bridge with an initial velocity of 20 m/s.
Find the time taken by the train to completely cross the bridge.
Answer
- Length of Train = 120 m
- Length of Bridge = 480 m
- Initial Velocity (u) = 20 m/s
- Acceleration (a) = 1 m/s²
Question 2
A 150 m long train crosses a 450 m long bridge with constant acceleration 2 m/s². The initial velocity of the train is 10 m/s.
Find the time taken to completely cross the bridge.
Answer
- Length of Train = 150 m
- Length of Bridge = 450 m
- Initial Velocity = 10 m/s
- Acceleration = 2 m/s²
Question 3
A 200 m long train crosses a 300 m long bridge. It enters the bridge with a speed of 15 m/s and accelerates uniformly at 1 m/s².
Find the time taken by the train to completely cross the bridge.
Answer
- Length of Train = 200 m
- Length of Bridge = 300 m
- Initial Velocity = 15 m/s
- Acceleration = 1 m/s²
Question 4
A 100 m long train completely crosses a 400 m long bridge. The train enters the bridge with an initial speed of 25 m/s and moves with a constant acceleration of 2 m/s².
Find the time taken by the train to completely cross the bridge.
Answer
- Length of Train = 100 m
- Length of Bridge = 400 m
- Initial Velocity (u) = 25 m/s
- Acceleration (a) = 2 m/s²
Question 5
A 250 m long train crosses a 350 m long bridge. It enters the bridge with an initial speed of 20 m/s and accelerates uniformly at 2 m/s².
Find the time taken by the train to completely cross the bridge.
Answer
- Length of Train = 250 m
- Length of Bridge = 350 m
- Initial Velocity = 20 m/s
- Acceleration = 2 m/s²
Question 6 (Assertion & Reason)
Assertion (A):
To completely cross a bridge, a train travels a distance equal to the sum of the length of the train and the length of the bridge.
Reason (R):
The rear end of the train leaves the bridge only after the front end has already crossed the bridge.
Choose the correct option.
- Both A and R are true, and R is the correct explanation of A.
- Both A and R are true, but R is not the correct explanation of A.
- A is true, but R is false.
- A is false, but R is true.
Answer
Correct Option: A. Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
When a train completely crosses a bridge, its front end first reaches the other end of the bridge. However, the train is considered completely out of the bridge only when its rear end also leaves the bridge. Therefore, the train travels a distance equal to the sum of its own length and the length of the bridge.
Question 7 (Very Short Answer)
Why do we add the length of the train and the length of the bridge while solving train crossing problems?
Answer
The train completely crosses the bridge only when its rear end leaves the bridge. Therefore, the front end of the train travels a distance equal to the sum of the train's length and the bridge's length.
Question 8 (Short Answer)
Which equation of motion is generally used when displacement, initial velocity, acceleration, and time are involved in train crossing problems?
Answer
The required equation of motion is:
Where,
- s = Displacement
- u = Initial Velocity
- a = Acceleration
- t = Time Taken
Question 9 (Multiple Choice Question)
A 100 m long train crosses a 500 m long bridge with an initial velocity of 10 m/s and an acceleration of 2 m/s².
The time taken is:
- 10 s
- 15 s
- 20 s
- 25 s
Answer
Question 10 (Concept-Based Question)
A train takes 20 seconds to completely cross a 500 m long bridge. The train is 100 m long.
Find the total displacement of the front end of the train during crossing.
Answer
CBSE Exam Tips
- Always calculate the total distance as the length of the train + length of the bridge.
- Choose the correct equation of motion according to the given data.
- Write every step clearly to score full marks in CBSE board examinations.
- Include SI units (m, m/s, s) in every calculation.
- Highlight the final answer inside a box.
Question 7 (Very Short Answer)
Why do we add the length of the train and the length of the bridge while solving train crossing problems?
Answer
The train completely crosses the bridge only when its rear end leaves the bridge. Therefore, the front end of the train travels a distance equal to the sum of the train's length and the bridge's length.
Question 8 (Short Answer)
Which equation of motion is generally used when displacement, initial velocity, acceleration, and time are involved in train crossing problems?
Answer
The required equation of motion is:
Where,
- s = Displacement
- u = Initial Velocity
- a = Acceleration
- t = Time Taken
Question 9 (Multiple Choice Question)
A 100 m long train crosses a 500 m long bridge with an initial velocity of 10 m/s and an acceleration of 2 m/s².
The time taken is:
- 10 s
- 15 s
- 20 s
- 25 s
Answer
Question 10 (Concept-Based Question)
A train takes 20 seconds to completely cross a 500 m long bridge. The train is 100 m long.
Find the total displacement of the front end of the train during crossing.
Answer
CBSE Exam Tips
- Always calculate the total distance as the length of the train + length of the bridge.
- Choose the correct equation of motion according to the given data.
- Write every step clearly to score full marks in CBSE board examinations.
- Include SI units (m, m/s, s) in every calculation.
- Highlight the final answer inside a box.
