Class 11 Exam > Class 11 Notes > MCQ: Units and Measurement - Class 11
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A gas bubble from an explosion under water oscillateswith a period proportional to PadbEc where P is the staticpressure, d is the density of water and E is the energyof explosion. Then a,b and c are :a)
b)
c)
d)1, 1, 1Correct answer is option 'A'. Can you explain this answer?
Ref: https://edurev.in/question/487299/A-gas-bubble-from-an-explosion-under-water-oscillateswith-a-period-proportional-to-PadbEc-where-P-is
Given, time period is proportional to 
Equating both sides of above equation dimensionally, we get
Now, omparing the dimensions of M, L and T on both sides, we get
a + b + c = 0 ....(1)
- a - 3b + 2c = 0 ....(2)
- 2a - 2c = 0 ....(3)
Solving (1), (2) and (3), we get
FAQs on MCQ: Units and Measurement - Class 11
| 1. What are the basic units of measurement? |  |
Ans. The basic units of measurement are the units that are used to measure the fundamental physical quantities. In the International System of Units (SI), the seven basic units are meter (m) for length, kilogram (kg) for mass, second (s) for time, ampere (A) for electric current, kelvin (K) for temperature, mole (mol) for amount of substance, and candela (cd) for luminous intensity.
| 2. How are derived units different from basic units? | |
Ans. Derived units are formed by combining the basic units of measurement. They are obtained by multiplication or division of the basic units. For example, the unit of speed is derived by dividing the unit of length (meter) by the unit of time (second). Derived units are used to measure physical quantities that are derived from the fundamental quantities.
| 3. What is the significance of measurement in science? | |
Ans. Measurement is an essential part of science as it allows us to quantify and compare physical quantities. It provides a common language for scientists to communicate and share their observations. Measurements help in establishing relationships between different variables and in the formulation of scientific laws and theories. They also play a crucial role in experimental design and the validation of hypotheses.
| 4. How can measurement errors be minimized? | |
Ans. Measurement errors can be minimized by following certain practices. These include using calibrated instruments, taking multiple measurements, averaging the results, minimizing environmental disturbances, and ensuring proper technique and precision during measurements. It is also important to be aware of systematic errors and random errors, and to account for them appropriately in the data analysis.
| 5. What is the difference between accuracy and precision in measurements? | |
Ans. Accuracy refers to how close a measured value is to the true or accepted value. Precision, on the other hand, refers to the consistency or reproducibility of the measured values. A measurement can be precise but not accurate if it consistently gives the same value but deviates from the true value. Conversely, a measurement can be accurate but not precise if it is close to the true value but lacks consistency. Both accuracy and precision are important for reliable measurements.
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