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The dimensional formula of surface tension in terms of the dimensions of mass (M), length (L) and time (T) is
- a)MT-2
- b)MLT-2
- c)MT-1
- d)ML-1T-2
Correct answer is option 'A'. Can you explain this answer?
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The dimensional formula of surface tension in terms of the dimensions of mass (M), length (L), and time (T) is MT-2.
Explanation:
Surface tension is defined as the force acting per unit length on the surface of a liquid. It is a property of the liquid that arises due to cohesive forces between its molecules.
To determine the dimensional formula of surface tension, we need to analyze the factors that contribute to its value.
1. Force: Surface tension is a force per unit length. Force is defined as the product of mass and acceleration. Therefore, the dimensional formula of force is MLT-2.
2. Length: Surface tension is a property related to the surface of a liquid, which has dimensions of length (L).
3. Time: Surface tension is not directly related to time. Therefore, it does not have any dimension in terms of time (T).
Combining these factors, we can express the dimensional formula of surface tension as the product of the dimensions of force and length, divided by the dimension of time:
Surface Tension = (Force × Length) / Time
Surface Tension = (MLT-2 × L) / T
Surface Tension = MLT-1T-2
Simplifying the expression, we get the final dimensional formula of surface tension as MT-2.
Therefore, the correct answer is option A) MT-2.
Explanation:
Surface tension is defined as the force acting per unit length on the surface of a liquid. It is a property of the liquid that arises due to cohesive forces between its molecules.
To determine the dimensional formula of surface tension, we need to analyze the factors that contribute to its value.
1. Force: Surface tension is a force per unit length. Force is defined as the product of mass and acceleration. Therefore, the dimensional formula of force is MLT-2.
2. Length: Surface tension is a property related to the surface of a liquid, which has dimensions of length (L).
3. Time: Surface tension is not directly related to time. Therefore, it does not have any dimension in terms of time (T).
Combining these factors, we can express the dimensional formula of surface tension as the product of the dimensions of force and length, divided by the dimension of time:
Surface Tension = (Force × Length) / Time
Surface Tension = (MLT-2 × L) / T
Surface Tension = MLT-1T-2
Simplifying the expression, we get the final dimensional formula of surface tension as MT-2.
Therefore, the correct answer is option A) MT-2.
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The dimensional formula of surface tension in terms of the dimensions of mass (M), length (L) and time (T) isa)MT-2b)MLT-2c)MT-1d)ML-1T-2Correct answer is option 'A'. Can you explain this answer?
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