Home
Class 12
PHYSICS
Assertion: In the measurement of physica...

Assertion: In the measurement of physical quantities direct and indirect methods are used.
Reason : The accuracy and precision of measuring instruments along with errors in measurements should be taken into account, while expressing the result.

A

Assertion is correct, reason is correct, reason is a correct explanation for assertion.

B

Assertion is correct, reason is correct, reason is not a correct explanation for assertion

C

Assertion is correct, reason is incorrect

D

Assertion is incorrect, reason is correct

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that in the measurement of physical quantities, both direct and indirect methods are used. - **Direct Methods**: These involve measuring a quantity directly using an instrument. For example, measuring mass using a weighing scale. - **Indirect Methods**: These involve calculating a quantity based on other measurements. For example, calculating force using the formula \( F = m \cdot a \), where mass and acceleration are measured first. 2. **Understanding the Reason**: - The reason states that the accuracy and precision of measuring instruments, along with errors in measurements, should be considered when expressing the result. - **Accuracy**: Refers to how close a measured value is to the actual (true) value. - **Precision**: Refers to how close multiple measurements are to each other, regardless of whether they are close to the actual value. 3. **Evaluating the Truth of the Statements**: - Both the assertion and the reason are true statements. Direct and indirect methods are indeed used in measurements of physical quantities. - It is also true that accuracy, precision, and measurement errors must be considered when reporting results. 4. **Determining the Relationship**: - While both statements are true, the reason does not explain the assertion. The assertion discusses the types of measurement methods, while the reason discusses the importance of accuracy and precision in measurements. 5. **Conclusion**: - Therefore, we conclude that the assertion is true, the reason is true, but the reason is not the correct explanation for the assertion. ### Final Answer: - Assertion: True - Reason: True - Relationship: Reason is not the correct explanation for the assertion.
Promotional Banner

Similar Questions

Explore conceptually related problems

The measured value of physical quantity expressed to infinite number of decimals places is called

A : The maximum possible error in a reading is taken as least count of the measuring instrument. R : Error in a measurement cannot be greater than least count of the measuring instrument.

Assertion: When we change the unit of measurerment of a quantity its numerical value changes. Reason: Smaller the unit of measurement smaller is its numerical value.

Physical quantity x and y are related as y=4tanx .If at x=(pi)/(4) radian error in measurement of x is 2% then find % error in measurement of y at x=(pi)/(4)

Explain the precautions that should be taken while measuring length using a ruler

Mention the causes which give rise to errors during the measurement of physical quantities.

In the measurement of a physical quantity (L), the formula used is L=k(m xx n) , where k is a constant and m and n are the quantities to be measured. If the % errors in m and n are respectively 3% and 5%. The % error in the measurement of L is

A : Higher is the accuracy of measurement, if instrument have smaller least count. R : Smaller the percentage error, higher is the accuracy of measurement.

A physical quantity is measured and the result is expressed as nu where u is the unit used and n is the numberical value. If the result is expressed in various units then

A physical quantity x is calculated from x = ab^(2)//sqrt(c ) . Calculate the percentage error in measuring x when the percentage errors in measuring a , b , and c are 4 , 2 , and 3%, respectively .