- Dr.Sanjaykumar Pawar
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| When speed of light becomes 1 unit/s, distance turns equal to time in seconds — the fastest NEET shortcut! |
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CBSE Class 11 Physics
Chapter: Units and Measurements
Question
A new unit of length is chosen such that the speed of light in vacuum is unity. What is the distance between the Sun and the Earth in terms of the new unit if light takes 8 min 20 s to cover this distance?
Step-by-Step Solution (CBSE Toppers Style)
Given:
- Speed of light in the new system = 1 unit/s
- Time taken by light = 8 min 20 s
Step 1: Convert time into seconds
8 minutes = 8 × 60 = 480 seconds
Total time = 480 + 20 = 500 seconds
Step 2: Apply the formula
Since,
Therefore,
Final Answer
Distance between the Sun and the Earth = 500 new units.
Short Notes (Easy for Beginners)
- A unit is a standard way of measuring a physical quantity.
- Scientists sometimes define new units to simplify calculations.
- In this question, the speed of light is taken as 1 unit per second.
- This means light travels 1 new unit in 1 second.
- The basic formula is:
- If speed = 1 unit/s, then
How to Solve Similar Questions
- Convert the given time into seconds.
- Use the formula: Distance = Speed × Time.
- If speed = 1 unit/s, then distance equals the time in seconds.
Example
Time = 8 min 20 s
= (8 × 60) + 20
= 480 + 20
= 500 seconds
Therefore,
Exam Tip
- Always convert minutes into seconds first.
- Remember the formula: Distance = Speed × Time.
- If speed is 1 unit/s, then distance is simply the time in seconds.
- This shortcut helps solve such questions quickly in CBSE examinations.
NEET Smart Learning Structure
1. Concept Snapshot
Topic: New Unit of Length (Speed of Light = 1 unit/s)
Key Idea: When speed = 1, distance = time (in seconds)
Formula: Distance = Speed × Time
Special Case: If Speed = 1 → Distance = Time
2. Smart Table
| Parameter | Value | Memory Trick |
|---|---|---|
| Speed of Light | 1 unit/s (new system) | "Light = 1 Rule" |
| Time Given | 8 min 20 s | Convert to seconds |
| Total Time | 500 s | 8×60 + 20 |
| Distance | 500 units | Time = Distance |
3. Mnemonic
"LIGHT = ONE, TIME = DONE"
If speed is 1 unit/sec → Distance is always time in seconds.
4. Flow Chart
Question ↓ Convert minutes → seconds ↓ Apply formula D = S × T ↓ S = 1 unit/s ↓ Distance = Time (sec) ↓ Final Answer5. NEET Shortcut
If Speed = 1 → Directly write Distance = Time (seconds)
No calculation of velocity needed.
6. Exam Trap
❌ Mistake: Using minutes directly as distance
✔ Correct: Always convert into seconds first
7. Practice
Q: Light takes 10 min. Find distance.
Solution: 10 × 60 = 600 sec → 600 units
NEET Practice Questions
Topic: Speed of Light & New Unit System
1. Direct MCQs (Single Correct Option)
A) Speed × Time
B) Time (seconds)
C) Speed only
D) Zero
A) 180 units
B) 3 units
C) 60 units
D) 1800 units
A) Half
B) Double
C) Same
D) Zero
A) Meter
B) Time unit × c
C) Second
D) Joule
2. Statement-Based Questions
Statement II: Distance becomes numerically equal to time in seconds.
3. Assertion and Reason (A & R)
Reason (R): Light takes 500 seconds to reach Earth.
Reason (R): Distance equals time directly.
4. Match the Columns
| Column A | Column B |
|---|---|
| Speed of light = 1 | A. 500 units |
| 8 min 20 s | B. New unit system |
| Distance | C. 500 s |
Speed = 1 → B
8 min 20 s → C
Distance → A
5. Diagram / Flow Based Questions
Time (min) → Convert to seconds → Multiply by speed → DistanceQ: If speed = 1 unit/s, what is final step?
A) Increasing
B) Constant
C) Decreasing
D) Zero

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