SATHEE: Physics And Measurement Question 128

Physics And Measurement Question 128

Question: If pressure $P$ , velocity $V$ and time $T$ are taken as fundamental physical quantities, the dimensional formula of force is

[EAMCET (Eng.) 2000]

Options:

A) $P V^{2} T^{2}$

B) $P^{- 1} V^{2} T^{- 2}$

C) $P V T^{2}$

D) $P^{- 1} V T^{2}$

Show Answer

Answer:

Correct Answer: A

Solution:

Let $F \propto P^{x} V^{y} T^{z}$

by substituting the following dimensions :

$[P] = [M L^{- 1} T^{- 2}]$

$[V] = [L T^{- 1}], [T] = [T]$

and comparing the dimension of both sides $x = 1, y = 2, z = 2$ , so $F = P V^{2} T^{2}$

Play Store

App Store

Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on "I understand".

Physics And Measurement Question 128

Question: If pressure P , velocity V and time T are taken as fundamental physical quantities, the dimensional formula of force is

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Menu

Question: If pressure $P$ , velocity $V$ and time $T$ are taken as fundamental physical quantities, the dimensional formula of force is