Which of the following physical quantities has the same dimensional formula as that of pressure? MCQ with Answer and Explanation

Which of the following physical quantities has the same dimensional formula as that of pressure?
A. Momentum per unit area
B. Energy per unit volume
C. Force per unit length
D. Power per unit volume
Answer: Option B
Solution (By JKSSB Mock Tests)
Pressure has dimensions [ML⁻¹T⁻²]. Energy per unit volume: Energy is [ML²T⁻²], volume is [L³], so [ML²T⁻²]/[L³] = [ML⁻¹T⁻²], matching pressure. Force per unit length is [MLT⁻²]/[L] = [MT⁻²]. Momentum per unit area is [MLT⁻¹]/[L²] = [ML⁻¹T⁻¹]. Power per unit volume is [ML²T⁻³]/[L³] = [ML⁻¹T⁻³]. This dimensional equivalence explains why pressure appears in Bernoulli's equation alongside energy density. Memory aid: Pressure and energy density both represent stored energy per spatial dimension.

Discuss this Question (0)

No comments yet. Be the first to start the discussion!

Practice More Physics Questions

Question #1
The phenomenon of electromagnetic induction is the basis for the working of:
A. Transformer
B. Generator
C. Both (b) and (c)
D. Electric motor

Correct Answer: Option C


Explanation:
Electromagnetic induction (changing magnetic flux induces EMF) is the principle behind generators (mechanical energy to electrical) and transformers (AC voltage conversion). Electric motors work on the reverse principle: force on current-carrying conductor in magnetic field. Memory aid: 'Induction applications: generators, transformers, induction cooktops; motors use motor effect'. This application question tests electromagnetism fundamentals, frequently examined in competitive exams. Always distinguish induction (generator/transformer) from motor effect (motor); competitive exams often combine both in device-based questions.

This question belongs to: Science Physics
Question #2
Which of the following is a derived unit in SI system?
A. Newton
B. Mole
C. Kelvin
D. Ampere

Correct Answer: Option A


Explanation:
Newton is a derived unit representing force, defined as kg·m/s². Kelvin (temperature), Ampere (current), and Mole (amount of substance) are fundamental SI units. Derived units are combinations of fundamental units through physical relationships. Newton comes from Newton's second law: F = ma. Memory aid: Remember the seven fundamental SI units: meter, kilogram, second, ampere, kelvin, mole, candela. All others like newton, joule, watt are derived. This distinction is essential for unit conversion questions in competitive exams.

This question belongs to: Science Physics
Question #3
The instrument used to measure potential difference is
A. Voltmeter
B. Ohmmeter
C. Galvanometer
D. Ammeter

Correct Answer: Option A


Explanation:
Voltmeter measures potential difference in volts. Connected in parallel. Ideal voltmeter has infinite resistance. Galvanometer can be converted to voltmeter by adding high resistance in series.

This question belongs to: Science Physics