Home
Class 12
PHYSICS
Assertion:- Mass, volume and time may be...

Assertion:- Mass, volume and time may be taken as fundamental quantities.
Reason:- Mass, volume and time are independent of one another.

A

If both Assertion `&` Reason are True `&` the Reason is a correct explanation of the Assertion.

B

If both Assertion `&` Reason are True but Reason is not a correct explanation of the Assertion.

C

If Assertion is True but the Reason is False.

D

If both Assertion `&` Reason are False.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that "Mass, volume, and time may be taken as fundamental quantities." - In physics, fundamental quantities are those that cannot be derived from other quantities. They serve as the basic building blocks for other measurements. 2. **Evaluating the Assertion**: - Mass is a fundamental quantity in the International System of Units (SI) and is measured in kilograms (kg). - Time is also a fundamental quantity measured in seconds (s). - Volume, however, is typically derived from the fundamental quantity of length (e.g., cubic meters) and is not considered a fundamental quantity in the same sense as mass and time. - Therefore, the assertion is **partially true** because while mass and time are fundamental, volume is derived. 3. **Understanding the Reason**: - The reason states that "Mass, volume, and time are independent of one another." - Independence in this context means that the measurement of one does not affect the measurement of the others. 4. **Evaluating the Reason**: - Mass and time are indeed independent of each other. - Volume, while derived from length, can still be considered independent in practical terms when discussing mass and time. - Thus, the reason is **partially true** as well, but it does not fully justify the assertion since volume is derived. 5. **Conclusion**: - Both the assertion and reason are true, but the reason does not correctly explain the assertion since volume is not a fundamental quantity. - Therefore, the correct interpretation is that the assertion is true, but the reason is not a correct explanation for the assertion. ### Final Answer: Both the assertion and reason are true, but the reason is not the correct explanation for the assertion.
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    ALLEN|Exercise PAPER 2|60 Videos

  • TEST PAPERS

    ALLEN|Exercise PAPER 3|99 Videos

  • TEST PAPER 4

    ALLEN|Exercise PHYSICS|44 Videos

  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN|Exercise Exercise (J-A)|7 Videos

Similar Questions

Explore conceptually related problems

(A) : Mass, Volume and time may be taken as fundamental quantities in a system. (R) : Quantities which are independent of one another are called fundamental quantities.

Assertion Velocity , volume and acceleration can be taken as fundemental quantities because Reason: All the three are independent from each other .

Assertion: Mass and volume are extensive properties. Reason: Mass/volume is also an extensive parameter.

If force, length and time are taken as fundamental units, then the dimensions of mass will be

If force, acceleration and time are taken as fundamental quantities, then the dimensions of length will be:

If velocity of light c, Planck's constant h ,Gravitational constant G are taken as fundamental quantites, then express mass, length and time in terms of dimensions of these quantites.

If force F , acceleration a, and time T are taken as the fundamental physical quantities , the dimensions of length on this systemof units are

If the velocity (V) , acceleration (A) , and force (F) are taken as fundamental quantities instead of mass (M) , length (L) , and time (T) , the dimensions of young's modulus (Y) would be

Why length, mass and time are chosen as base quantities in mechanics ?

If velocity, force and time are taken as the fundamental quantities, them using dimensional analysis choose the correct dimensional formula for mass among the following. [K is a dimensionless constant]