मराठी
कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान इयत्ता ११

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

Advertisements
Advertisements

प्रश्न

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

टीपा लिहा
Advertisements

उत्तर

Normally each physical quantity requires a unit or standard for its specification, so it appears that there must be as many units as there are physical quantities. However, it is not so. It has been found that if in mechanics we choose arbitrarily units of any three physical quantities we can express the units of all other physical quantities in mechanics in terms of these. So, length, mass and time are chosen as base quantities in mechanics because

  1. Length, mass and time cannot be derived from one another, that is these quantities are independent.
  2. All other quantities in mechanics can be expressed in terms of length, mass and time.
shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Units and Measurements - Exercises [पृष्ठ ९]

APPEARS IN

एनसीईआरटी एक्झांप्लर Physics [English] Class 11
पाठ 2 Units and Measurements
Exercises | Q 2.24 | पृष्ठ ९

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

A calorie is a unit of heat or energy and it equals about 4.2 J where 1J = 1 kg m2s–2. Suppose we employ a system of units in which the unit of mass equals α kg, the unit of length equals β m, the unit of time is γ s. Show that a calorie has a magnitude 4.2 α–1 β–2 γin terms of the new units.


The unit of length convenient on the atomic scale is known as an angstrom and is denoted by Å : 1Å = 10−10 m. The size of a hydrogen atom is about 0.5 Å. What is the total atomic volume in m3 of a mole of hydrogen atoms?


Explain this common observation clearly : If you look out of the window of a fast moving train, the nearby trees, houses, etc. seem to move rapidly in a direction opposite to the train’s motion, but the distant objects (hill tops, the Moon, the stars etc.) seem to be stationary. (In fact, since you are aware that you are moving, these distant objects seem to move with you).


A physical quantity of the dimensions of length that can be formed out of c, G and `e^2/(4piε_0)` is (c is velocity of light, G is universal constant of gravitation and e is charge):


The dimensional formula for latent heat is ______.


If area (A), velocity (V) and density (p) are taken as fundamental units, what is the dimensional formula for force?


On the basis of dimensions, decide which of the following relations for the displacement of a particle undergoing simple harmonic motion is not correct ______.

  1. y = `a sin  (2πt)/T`
  2. y = `a sin vt`
  3. y = `a/T sin (t/a)`
  4. y = `asqrt(2) (sin  (2pit)/T - cos  (2pit)/T)`

If P, Q, R are physical quantities, having different dimensions, which of the following combinations can never be a meaningful quantity?

  1. (P – Q)/R
  2. PQ – R
  3. PQ/R
  4. (PR – Q2)/R
  5. (R + Q)/P

Give an example of a physical quantity which has a unit but no dimensions.


Give an example of a physical quantity which has neither unit nor dimensions.


The volume of a liquid flowing out per second of a pipe of length l and radius r is written by a student as `v = π/8 (pr^4)/(ηl)` where P is the pressure difference between the two ends of the pipe and η is coefficient of viscosity of the liquid having dimensional formula ML–1 T–1. Check whether the equation is dimensionally correct.


In the expression P = E l2 m–5 G–2, E, m, l and G denote energy, mass, angular momentum and gravitational constant, respectively. Show that P is a dimensionless quantity.


If velocity of light c, Planck’s constant h and gravitational contant G are taken as fundamental quantities then express mass, length and time in terms of dimensions of these quantities.


The workdone by a gas molecule in an x' isolated system is given by, W = αβ2 `e^(-x^2/(alpha"KT"))`, where x is the displacement, k is the Boltzmann constant and T is the temperature. α and β are constants. Then the dimensions of β will be ______.


A wave is represented by y = a sin(At - Bx + C) where A, B, C are constants and t is in seconds and x is in metre. The Dimensions of A, B, and C are ______.


P = `alpha/beta` exp `(-"az"/"K"_"B"theta)`

θ `→` Temperature

P `→` Pressure

K`→` Boltzmann constant

z `→` Distance

Dimension of β is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×