physics

The power in the proportionality

What goes wrong

Keeps the dependence but not its power — treats a square or square-root relation as linear or inverse.

Next time

Write the exact functional relationship with its exponent before taking ratios or applying binomial expansions.

Questions that set this trap

9 published questions

physicsA planet has double the mass of the earth. Its average density is equal to the that of the earth. An object weighing $\mathrm{W}$ on earth…
physicsThe resistivity $(\rho)$ of semiconductor varies with temperature. Which of the following curve represents the correct behaviour
physicsThe kinetic energy of an electron, $\alpha$ -particle and a proton are given as $4\mathrm{K}$ , $2\mathrm{K}$ and $\mathrm{K}$ respectively.…
physicsBy what percentage will the transmission range of a TV tower be affected when the height of the tower is increased by $21\%$ ?
physicsThe energy levels of an hydrogen atom are shown below. The transition corresponding to emission of shortest wavelength is
physicsA long straight wire of circular cross-section (radius a) is carrying steady current I. The current I is uniformly distributed across this…
physicsThe temperature of an ideal gas is increased from $200\text{ K}$ to $800\text{ K}$ . If r.m.s. speed of gas at $200\text{K}$ is…
physicsA small particle of mass $\mathrm{m}$ moves in such a way that its potential energy…
physicsThe weight of a body on the surface of the earth is $100\text{ N}$ . The gravitational force on it when taken at a height, from the surface…