Atomic Structure Test

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Atomic Structure Test - 28

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Weekly Quiz Competition

Question 1
1 / -0

What will be the wavenumber of yellow radiation having wavelength 240 nm?

A
1.724 x 10⁴ cm^-1

B
4.16 x 10¹⁶ m^-1

C
4 x 10¹⁴Hz

D
219.3 x 10³ cm^-1

Solution

Wavelength of yellow light = 240 nm
240 x 10^-9 m
Question 2
1 / -0

What will be the energy of one photon of radiation whose frequency is 5 × 10¹⁴ Hz?

A
199.51J

B
3.3 x 10^-19J

C
6.626 x 10^-34 J

D
2.31 x 10⁵ J

Solution

The energy of one photon is given by the expression, E = hν
where, h = 6.626 × 10⁻³⁴ Js and ν= 5 × 10¹⁴ s⁻¹
E = 6.626 × 10⁻³⁴ × 5 × 10¹⁴ = 3.313 × 10⁻¹⁹J
Question 3
1 / -0

The energy of a photon is given as 3.03 x 10^-19 J/atom. The wavelength of the photon is

A
6.56 nm

B
65.6 nm

C
0.656 nm

D
656 nm

Solution
Question 4
1 / -0

What will be the energy of a photon which corresponds to the wavelength of 0.50 Å?

A
3.98 x 10^-15 J

B
3 x 10¹⁵J

C
3.9 x 10⁸ J

D
3 x 10^-34 J

Solution

E = hv = hc/λ
Question 5
1 / -0

Compare the energies of two radiations E₁ with wavelength 800 nm and E₂ with wavelength 400 nm.

A
E₁ = 2E₂

B
E₁ = E₂

C
E₂ = 2E₁

D

Solution
Question 6
1 / -0

Electromagnetic radiation of wavelength 242 nm is just sufficient to ionise the sodium atom. What is the ionisation energy of sodium per atom?

A
494.5 x 10^-6 J/atom

B
8169.5 x 10^-10 J/atom

C
5.85 x 10^-15 J/atom

D
8.214 x 10^-19 J/atom

Solution

λ = 242 nm = 242 x 10^-9 m
Energy required to ionise one atom of Na, E = hc/λ
Question 7
1 / -0

The energy difference between the ground state of an atom and its excited state is 3 x 10^-19 J. What is the wavelength of the photon required for this transition?

A
6.6 x 10^-34 m

B
3 x 10^-8m

C
1.8 x 10^-7 m

D
6.6 x 10^-7 m

Solution

ΔE = hc/λ
Question 8
1 / -0

A 100 watt bulb emits monochromatic light of wavelength 400 nm. Calculate the number of photons emitted per second by the bulb.

A
3 x 10²⁰ s^-1

B
2 x 10^-20 s^-1

C
2 x 10²⁰ s^-1

D
1 x 10^-20 s^-1

Solution

Power of the bulb = 100 watt = 100 J s^-1 Energy of one photon E = hv = hc/λ

Number of photons emitted
Question 9
1 / -0

Mark the incorrect statement regarding the photoelectric effect.

A
There is no time lag between the striking of light beam and the ejection of electrons from the metal surface

B
The number of electrons ejected is inversely proportional to the intensity of light

C
Photoelectric effect is not observed below threshold frequency

D
The kinetic energy of the electrons increases with increase in frequency of light used

Solution

The number of electrons ejected is directly proportional to the intensity of light
Question 10
1 / -0

A certain metal when irradiated by light (v = 3.2 x 10¹⁶ Hz) emits photoelectrons with twice K.E. as did photoelectrons when the same metal is irradiated by light (v = 2.0 x 10¹⁶ Hz). The v₀ of the metal is

A
1.2 x 10¹⁴Hz

B
8 x 10¹⁵ Hz

C
1.2 x 10¹⁶ Hz

D
4 x 10¹² Hz

Solution

(K.E.)₁ = hv₁ - hv₀
(K.E)₂ = hv₂ - hv₀
As (K.E)₁ = 2 x (K.E.)₂
∴ (hv₁ - hv₀)0) = 2(hv₂ - hv₀)
or v₀ = 2v₂ - v₁
= 2 x (2 x 10¹⁶) - (3.2 x 10¹⁶)
= 0.8 x 10¹⁶ Hz or 8 x 10¹⁵ Hz
Question 11
1 / -0

The spectrum of white light ranging from red to violet is called a continuous spectrum because

A
Different colours are seen as different bands in the spectrum

B
The colours continuously absorb energy to form a spectrum

C
The violet colour merges into blue, blue into green, green into yellow and so on

D
It is a continuous band of coloured and white light separating them

Solution

In a continuous spectrum, the colours merge into each other in a continuous pattern.
Question 12
1 / -0

The emission spectrum of hydrogen is found to satisfy the expression for the energy change ΔE (in joules) such that where n₁ = 1, 2, 3,.... and n₂ = 2, 3, 4. The spectral lines corresponds to Paschen series if

A
n₁ = 1 and n₂ = 2, 3, 4

B
n₁ = 3 and n₂ = 4, 5, 6

C
n₁ = 1 and n₂ = 3, 4, 5

D
n₁ = 2 and n₂ = 3, 4, 5

Solution

For Paschen series, n₁ = 3 and n₂ = 4,5, 6...
Question 13
1 / -0

The wavelength of visible light is

A
200 nm - 370 nm

B
780 nm - 890 nm

C
380 nm - 760 nm

D
900 nm - 2000 nm

Solution

Visible light wavelength is from 380 nm to 760 nm.
Question 14
1 / -0

Which of the following types of spectrum is best depicted by the given figure?

A
Atomic absorption spectra

B
Atomic emission spectra

C
Continuous spectra

D
None of these

Solution

Since the sample is an 'Excited sample', therefore this can not be absorption spectra but is an emission spectrum. Also, the light disperses from the sample towards the detector direction.
Question 15
1 / -0

Match the constants given in column I with their values given in column II and mark the appropriate, choice.

A
(A)→(iii), (B)→(ii), (C)→(i), (D)→(iv)

B
(A)→(ii), (B)→(iv), (C)→(i), (D)→(iii)

C
(A)→(i), (B)→(iii), (C)→(iv), (D)→(ii)

D
(A)→(iv), (B)→(i), (C)→(ii), (D)→(iii)