AP EAMCET · Chemistry · Structure of Atom

If the kinetic energy of electron is $18.2 \times 10^{-25} \mathrm{~J}$, its de Broglie wavelength in $\mathrm{nm}$ is : (mass of electron $\left.=9.1 \times 10^{-31} \mathrm{~kg} ; \mathrm{h}=6.626 \times 10^{-34} \mathrm{~J} \mathrm{~s}\right)$

A $182$
B $728$
C $364$
D $1092$

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Answer & Solution

Correct Answer

(C) $364$

Step-by-step Solution

Detailed explanation

No solution. Refer to answer key.

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 $- I$		Column $- II$
(a)	Transverse wave through a steel rod	(i)	$\sqrt{B + (\frac{4}{3}) \frac{η}{ρ}}$
(b)	Longitudinal waves in earth's crust	(ii)	$\sqrt{\frac{η}{ρ}}$
(c)	Longitudinal waves through a steel rod	(iii)	$\sqrt{\frac{2 π T}{g λ}}$
(d)	Ripples	(iv)	$\sqrt{\frac{λ}{ρ}}$

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If the kinetic energy of electron is \(18.2 \times 10^{-25} \mathrm{~J}\), its de Broglie wavelength in \(\mathrm{nm}\) is : (mass of electron \(\left.=9.1 \times 10^{-31} \mathrm{~kg} ; \mathrm{h}=6.626 \times 10^{-34} \mathrm{~J} \mathrm{~s}\right)\)

Answer & Solution

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