Embibe Experts Solutions for Chapter: Physical World and Measurement, Exercise 1: AP EAPCET Medical 2019 (24-Apr Shift-1)

Match the following?

If $P, Q, R$ and $S$ denote energy, mass, angular momentum and gravitational constant respectively, the quantity $\left[\frac{Q^5 S^2}{P{R}^2}\right]$ has the dimensions of

If the energy $E=G^p{h}^q{c}^r,$ where $G$ is the universal gravitational constant, $c$ is the velocity of light in vacuum and $h$' is Planck's constant. The values of $p,q$ and $r$ are respectively

Planck's constant has the dimensions of ________

A force $F$ is given as $F=P{t}^{-1}+Qt,$ where $t$ denotes time. Then, the unit of $P$ must be same as that of

The angular speed of a fly-wheel making $180 \mathrm{rpm}$ is ________

A student measured the diameter of a small steel ball using a screw gauge of least count $0.001 \mathrm{cm}.$ The main scale reading is $5 \mathrm{mm}$ and zero division of the circular scale coincides with $25$ divisions above the reference level. If the screw gauge has a zero error of $-0.004 \mathrm{cm}.$ the correct diameter of the ball is__________