Olympiad Test: Motion & Measurement of Distances - Free MCQ with solutions

The length of the wooden box = Difference between the reading at both the ends = 4.7−1.5 = 3.2 cm               

Rahul and Ravi both cover different distances XOY and XY respectively at the same time. Rahul covers more distance than Ravi in the same time. Hence Rahul covers longer distance with a higher speed.

Length of each fold of thread placed along scale = 13.5 cm
As thread is folded 6 times
∴ Length of the thread = (13.5×6) cm
= 81 cm = 0.81 m

In case of collision, changes are most likely to be appear in the speed and direction of both the balls.

• 1 kilometre = 1000 metres


• 5 kilometres = 5 * 1000 = 5000 metres

• When converting kilometres to metres, we need to multiply the number of kilometres by 1000 because 1 kilometre is equal to 1000 metres.


• Therefore, 5 kilometres is equal to 5 * 1000 = 5000 metres.

• C: 5000 metre

Therefore, the correct answer is option C: 5000 metre.

• General Conference of Weights and Measures: The SI system was recommended by the General Conference of Weights and Measures in 1971.


• Significance: This recommendation marked a significant milestone in the standardization of units of measurement worldwide.


• Implementation: The SI system, also known as the International System of Units, is now widely used in scientific, engineering, and everyday applications.


• Consistency: The adoption of the SI system has helped to promote consistency and accuracy in measurements across different fields and industries.


• Updates: The SI system continues to be updated and refined to ensure its relevance and effectiveness in modern measurement practices.

Rectilinear motion is another name for straight-line motion.

- Circular Motion:
- Both a bicycle wheel and a ceiling fan exhibit circular motion in their respective parts.
- The wheels of a bicycle rotate around their axles as the bicycle moves.
- The blades of a ceiling fan rotate around a central hub.

- Linear vs. Rotational Motion:
- A bicycle, when ridden, translates its circular wheel motion into linear motion as it moves along a path.
- A ceiling fan remains stationary in space; its blades only rotate around a central point without moving linearly.

- Conclusion:
- Option C correctly describes these differences and similarities.

As 20 divisions = 1 cm 
∴ 1 division = 1/20 cm 
= 0.05cm 

• Thread: Threads are commonly used to measure curved lengths. You can wrap a thread around the curve and then measure the length of the thread to determine the curved length accurately.


• Wood: While wood can be used for measuring straight lengths, it is not an ideal tool for measuring curved lengths as it cannot conform to the shape of the curve.


• Sand: Sand is not a practical tool for measuring curved lengths as it would not provide an accurate measurement and would be messy to work with.


• Paper: Paper is also not suitable for measuring curved lengths as it is a flat and rigid material that cannot adapt to the shape of the curve.

Therefore, the most appropriate tool for measuring curved lengths is a thread due to its flexibility and ability to conform to the shape of the curve.

Option 1,2 and 3 are rotatory motion. Rotatory motion, also referred to as rotational motion or circular motion, is physical motion that happens when an object rotates or spins on an axis. 

The time taken to complete one oscillation is called the time period of a pendulum.       

Here the time period is the time taken to move from Y to B then back to A and then to Y. The reading of stopwatch = T Number of oscillations = 10 

∴  Time taken 

=   = T/10

The length of the needle is calculated by subtracting the initial reading from the final reading: 33.1 cm - 3.0 cm = 30.1 cm.

Only (ii) shows to and fro as well as interval. Hence, (ii) is the correct option.

Initial volume of water in the cylinder, (before the immersion of the object) 
V₁ = 70cm³
Final volume in the cylinder (after the immersion of the object) 
V₂ = 82cm³
Hence, volume of the object immersed in the cylinder = Final volume - Initial volume 
= 82 cm³−70 cm³ 
= 12 cm³

P = 2.1 cm; Q = 3.0 cm; R = 3.1 cm; S = 2.5 cm
Average length of these sticks 

= 2.6cm

When an object moves along a circular path, it is called circular motion. During such a motion, the direction of motion at any point is given by the tangent at that point which changes continuously.