State the limitations of dimensional analysis. - Vidyadip

Question

State the limitations of dimensional analysis.

✓

Answer

Limitations of dimensional analysis:

The value of dimensionless constant can be obtained with the help of experiments only.
Dimensional analysis cannot be used to derive relations involving trigonometric $(\sin \theta , \cos \theta , etc.),$ exponential $(e^x, e^{x2}, etc.),$ and logarithmic functions $(\log x, \log x^3, etc)$ as these quantities are dimensionless.
This method is not useful if constant of proportionality is not a dimensionless quantity.
If the correct equation contains some more terms of the same dimension, it is not possible to know about their presence using dimensional equation.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Answer the following in Brief" from Units and Measurements→Units and Measurements — all question types→Physics STD 11 Science question papers→Maharashtra Board STD 11 Science question papers→Maharashtra Board question paper generator→

Similar questions

If $100$ joules of work must be done to move electric charge equal to $4 C$ from a place, where potential is $-10$ volt to another place where potential is $V$ volt, find the value of $V$.

Draw a neat diagram and state I-V characteristics of an ideal diode.

ground with speed $v$. Is the relation $mgH =\frac{1}{2} m v ^2$ applicable exactly? If not, how can you account for the difference? Will the ball bounce to the same height from where it was dropped?

For an orbiting satellite very close to surface of the Earth, show that $T=2 \pi \sqrt{\frac{ R }{ g }}$.

When the planet Jupiter is at a distance of $824.7$ million kilometers from the Earth, its angular diameter is measured to be $35.72″$ of arc. Calculate the diameter of the Jupiter.

A constantan wire of length $50 \ cm$ and $0.4 \ mm$ diameter is used in making a resistor. If the resistivity of constantan is $5 \times 10^{-7} m$, calculate the value of the resistor.

Explain addition of vectors.

The moon is at a distance of $3.84 \times 10^8 m$ from the Earth. If viewed from two diametrically opposite points on the Earth, the angle subtended at the moon is $1^\circ 54′.$ What is the diameter of the Earth?

If the motion of an object is described by x = f(t) write formulae for instantaneous velocity and acceleration.

A body is thrown with a velocity of 49 m/s at an angle of 30° with the horizontal. Find
i) the maximum height attained by it
ii) the time of flight and
iii) the horizontal range.