TS EAMCET · Chemistry · Structure of Atom

Which of the following relations is correct, if the wavelength $(λ)$ is equal to the distance travelled by the electron in one second?
$h$ is the planck's constant and $m$ is the mass of electron

A $λ = h / p$
B $λ = h / m$
C $λ = \sqrt{h / p}$
D $λ = \sqrt{h / m}$

Verified Solution

Answer & Solution

Correct Answer

(D) $λ = \sqrt{h / m}$

Step-by-step Solution

Detailed explanation

According to the de-Broglie equation:- λ=hmv If the wavelength (λ) is equal to the distance travelled by the electron in one second. v2=hm and v=hm h is the planck's constant and m is the mass of electron. Put the value of velocity in the de-Broglie equation,…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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Match the following

Column-1 Reaction		Column-2 Main product
A)	$4 {FeCl}_{3} + 3 K_{4} [Fe (CN)_{6}] \to$	I)	${Fe}_{4} {[Fe (CN)_{6}]}_{3}$
B)	${ZnCl}_{2} + 4 NaOH \to$	II)	${FeCl}_{2}$
C)	$2 {FeCl}_{3} + H_{2} S \to$	III)	$Zn (OH) Cl$
		IV)	${Fe}_{3} {[Fe (CN)_{6}]}_{3}$
		V)	${Na}_{2} {ZnO}_{2}$
		VI)	$FeS$

TS EAMCET 2021 Hard

A 100 watt bulb emits light of wavelength ' $x$ ' $Å$. What is the value of $x$, if the number of photons emitted is $2.0 \times 10^{20} \mathrm{~s}^{-1}$ ? $\left(\mathrm{h}=6.63 \times 10^{-34} \mathrm{Js}, 1\right.$ watt $\left.=1 \mathrm{Js}^{-1}\right)$

TS EAMCET 2023 Easy

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Which of the following relations is correct, if the wavelength (λ) is equal to the distance travelled by the electron in one second?h is the planck's constant and m is the mass of electron

Step-by-step Solution

Which of the following relations is correct, if the wavelength $(λ)$ is equal to the distance travelled by the electron in one second?
$h$ is the planck's constant and $m$ is the mass of electron