মাত্রা ও একক বিষয়ক

$ML^{-1}T^{-2}$ is the dimensional formula of

হানি নাটস

Modulus of elasticity is given by $Y = \dfrac{F}{A}.\dfrac{L}{\Delta L}$
Dimension of force $F = [MLT^{-2}]$
Dimension of Area $A = [L^2]$
Dimension of length $L = [L]$
Thus dimension of modulus of elasticity $Y = \dfrac{[MLT^{-2}][L]}{[L^2][L]} = [ML^{-1}T^{-2}]$

The frequency of vibration of the string is given by

$v=\dfrac {p}{2l}\left [ \dfrac {F}{m} \right ]^{1/2}$

Here, p is the number of segments in the string and l is the length. The dimensional formula for m will be

নিচের কোনটি দুরত্বের একক নয়?

$\left ( P + \frac{a}{V^{2}} \right ) \left ( V - b \right ) = R T$ সমীকরণটিতে a এর মাত্রা কত?

The Van der Waal's equation of state for some gases can be expressed as:

$(P + \dfrac{a}{V^2})(V - b) = RT$

where P is the pressure, V is the molar volume, and T is the absolute temperature of the given sample of gas and a,b and R are constants.

The dimensions of a are