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
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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