Embibe Experts Solutions for Chapter: Physical World and Measurement, Exercise 1: KEAM 2020

The angular diameter of a planet measured from earth is $90".$ If the diameter of the planet is $\mathrm{\pi }\times {10}^6 \mathrm{m},$ then its distance from the earth is

An accurate measurement implies that

The power in an electrical circuit for a current of $5\pm 0.4\mathrm{A}$ and voltage $10\pm 0.2\mathrm{V}$ is measured at $10\%$ error. To measure the power at $5\%$ error the current should be measured at an error of

The period of oscillation of a simple pendulum is given by $T=2\pi \sqrt{\frac{L}{g}}$, where $L$ is the length of the pendulum and $g$ is the acceleration due to gravity. The length is measured using a meter scale which has $500$ divisions. If the measured value $L$ is $50\mathrm{ }\mathrm{cm}$, the accuracy in the determination of $g$ is $1.1\%$ and the time taken for $100$ oscillations is $100$ seconds, what should be the possible error in measurement of the clock in one minute (in milliseconds)?

If $x, v$ and $a$ denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period $T$ , then which of the following do not change with time?