If $G$ is universal gravitation constant and $g$ is acceleration due to gravity, then dimensions of $\frac{G}{g}$ will be ...................
A$\left[ M ^{-1} L ^2\right]$
B$\left[ M ^{-1} L \right]$
C$\left[ M ^{-2} L \right]$
D$\left[M^{-1} L^{-2}\right]$
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A$\left[ M ^{-1} L ^2\right]$
a (a)
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A screw gauge of pitch $0.5\,mm$ is used to measure the diameter of uniform wire of length $6.8\,cm$, the main scale reading is $1.5\,mm$ and circular scale reading is $7$. The calculated curved surface area of wire to appropriate significant figures is $......cm^2$ . [Screw gauge has $50$ divisions on the circular scale]
A scientist performs an experiment in order to measure a certain physical quantity and takes $100$ observations. He repeats the same experiment and takes $400$ observations. By doing so,
In an experiment of simple pendulum time period measured was $50\,sec$ for $25$ vibrations when the length of the simple pendulum was taken $100\,cm$ . If the least count of stop watch is $0.1\,sec$ . and that of meter scale is $0.1\,cm$ then maximum possible error in value of $g$ is .......... $\%$