Assertion :The energy of a $H e^{+}$ ion for a given $n$ is almost exactly four times that of $H$ atom for the same $n$ Reason: Photons emitted during transition between corresponding pairs of levels in $H e^{+}$ and $H$ have the same energy $E$ and the same wavelength $λ = \frac{h c}{E}$

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Both Assertion and Reason are incorrect

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Solution

The correct option is C Assertion is correct but Reason is incorrect
$E \propto Z^{2}$
Hence, for $H e, Z = 2$
For $H, Z = 1$
Wavelength is $4$ times and energies are not same.

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Assertion :The energy of a He+ ion for a given n is almost exactly four times that of H atom for the same n Reason: Photons emitted during transition between corresponding pairs of levels in He+ and H have the same energy E and the same wavelength λ=hcE

The correct option is C Assertion is correct but Reason is incorrectE∝Z2Hence, for He,Z=2For H,Z=1Wavelength is 4 times and energies are not same.

Assertion :The energy of a $H e^{+}$ ion for a given $n$ is almost exactly four times that of $H$ atom for the same $n$ Reason: Photons emitted during transition between corresponding pairs of levels in $H e^{+}$ and $H$ have the same energy $E$ and the same wavelength $λ = \frac{h c}{E}$

The correct option is C Assertion is correct but Reason is incorrect
$E \propto Z^{2}$
Hence, for $H e, Z = 2$
For $H, Z = 1$
Wavelength is $4$ times and energies are not same.