Embibe Experts Solutions for Chapter: Physical World and Measurement, Exercise 1: COMEDK UGET 2014

The maximum and minimum distances of a comet from the sun are $1.4\times {10}^{12}\mathrm{m}$ and $7\times {10}^{10}$ $m\mathit{.}$ If it's velocity nearest to the sun is $6\times {10}^{14} \mathrm{m}/\mathrm{s},$ what is its velocity in the farthest position? (Assume the comet to be spherical)

A shell of mass $20 \mathrm{g}$ is fired by a gun of mass $100 \mathrm{kg}.$ If the shell leaves the gun with a speed of $800 \mathrm{m}/\mathrm{s},$ the speed of recoil of the gun is

A body accelerates from rest with a uniform acceleration $a$ for a time $t.$ The uncertainty in '$a$' is $8\%$ and the uncertainty in '$t$' is $4\%.$ The uncertainty in the speed is

Which two of the following quantities are dimensionally equivalent?

(i) Force
(ii) Pressure
(iii) Young's Modulus
(iv) Energy