Which of the following pairs of physical quantities does not have same dimensional formula?

a) work and torque

b) angular momentum and Planck’s constant

c) tension and surface tension

d) impulse and linear momentum

Answers (1)

The answer is the option (c) Tension & surface tension

Explanation : We know that,

Work = force \times displacement

         =[ML^{2}T^{-2}]

& Torque = force \times distance

       =[ML^{2}T^{-2}]

Hence, their dimensions are the same.

(b) Dimensions of-

 Angular momentum =[ML^{2}T^{-1}]

& Planck’s constant =[ML^{2}T^{-1}]

Hence, their dimensions are the same.

(c) Dimensions of-

Tension =[MLT^{-2}]

Surface tension=[ML^{0}T^{-2}]

Their dimensions are not the same, hence opt (c).

(d) Dimensions of-

Impulse =[MLT^{-1}]

Momentum =[MLT^{-1}]

Thus, their dimensions are also the same.

 

Most Viewed Questions

Preparation Products

Knockout NEET 2024

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 40000/-
Buy Now
Knockout NEET 2025

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 45000/-
Buy Now
NEET Foundation + Knockout NEET 2024

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 54999/- ₹ 42499/-
Buy Now
NEET Foundation + Knockout NEET 2024 (Easy Installment)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 3999/-
Buy Now
NEET Foundation + Knockout NEET 2025 (Easy Installment)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 3999/-
Buy Now
Boost your Preparation for JEE Main with our Foundation Course
 
Exams
Articles
Questions