Spirituality, Quantum Physics & Life: Physical Properties

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Physical Properties | Assignment Collection

1) Find the dimension formula of,

Density / Pressure / Work / Energy / Power / Gravitational Constant / Momentum ?

2) To find the time period of a simple pendulum, its time period (t) may depend upon (i) mass (m) of the pendulum (ii) the length (l) and (iii) acceleration due to gravity (g).

3) Convert 1 dyne into Newton.

4) Convert 500 erg into Joule.

5) Find the dimensions of the constants

$a$ and

$b$ in the Vander Waal's equation of state of a real gas

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

Where,

$P$ = Pressure,

$V$ = Volume,

$R$ = Universal gas constant,

$T$ = Absolute Temperature.

6) Is dimensionally correct equation necessarily physically correct? What about the dimensionally wrong equation?

7) A student writes

$\sqrt{(\frac{R}{2 \; G\; M}})$ for escape velocity. Check the correctness of the formula by using dimensional analysis.

8) Find the dimensions of Planck’s constant (h) from the given equation:

$\lambda = \frac{h}{p}$ ; where λ is wavelength and p is the momentum of photon.

9) Convert density of water 1

$g/cm^3$ (CGS-system) into

$kg/m^3$ (MKS – system).

10) Check the correctness of the relation

$h = \frac{2 \; T \; Cos \theta}{r\; \rho\; g}$ , Where symbols have usual meaning.

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Spirituality, Quantum Physics & Life

Physical Properties | Assignment Collection

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