Atoms Test

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Atoms Test - 7

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Weekly Quiz Competition

Question 1
1 / -0

In accordance with the Bohr’s model, find the quantum number that characterises the earth’s revolution around the sun in an orbit of radius 1.5 × 10¹¹ m with orbital speed 3 × 10⁴ m/s. (Mass of earth= 6.0 × 10²⁴kg.)

A
2.7 × 10⁷⁴

B
2.6 × 10⁷⁴

C
2.8 × 10⁷⁴

D
2.9 × 10⁷⁴

Solution

Angular momentum mvr = nh/2π , n = 2.6 × 10^74.
Question 2
1 / -0

Average angle of deflection of α -particles by a thin gold foil predicted by Thomson’s model is

A
about the same as predicted by Rutherford’s model

B
less than that predicted by Rutherford’s model

C
incomparable to Rutherford’s model

D
more than that predicted by Rutherford’s model

Solution

The alpha particles which pass close to the nucleus (positively charged) suffer a strong electrostatic force and are scattered through large angles ( Rutheford's explanation). Thomson model was unable to explain large angle scattering of alpha particles. However, the average angle of deflection suggested by both is about the same size.
Question 3
1 / -0

Probability of backward scattering (i.e., scattering of α -particles at angles greater than 90^∘) predicted by Thomson’s model is

A
more than that predicted by Rutherford’s model

B
same as predicted by Rutherford’s model

C
much less than predicted by Rutherford’s model

D
much more than that predicted by Rutherford’s model

Solution

A few small number of particles (1 in 8000) experienced a strong electrostatic repulsive force and thus deflected by more than 90^o.
Question 4
1 / -0

It is found experimentally that for small thickness t, the number of α-particles scattered at moderate angles is proportional to t. What clue does this linear dependence on t provide?

A
scattering is predominantly due to no collison

B
scattering is predominantly due to a single collision

C
scattering is predominantly due to multiple collisions

D
scattering is predominantly due to deflecting fields being proportional to t

Solution

Scattering occurs due to collisions, mainly single collision. As number of target atoms increases, the chances of collision also increases linearly. Increase in the thickness (t) of the foil increases the number of the target atoms and thus increases the chances of single collisions.
Question 5
1 / -0

In which model is it completely wrong to ignore multiple scattering for the calculation of average angle of scattering of α -particles by a thin foil?

A
Thomson’s model

B
No model

C
Rutherford’s model

D
Bohr model

Solution

Thomson proposed the plum pudding model of the atom. Here the scattering angle, caused due to collision with the electrons spread in the atom, will be very less. It would require multiple scattering to get a large deflection. Hence, we cannot ignore multiple scattering when calculating average angle of scattering of alpha particles by a thin foil.

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Re-Attempt Weekly Quiz Competition

Atoms Test - 7

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Atoms Test - 7

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SHARING IS CARING

Question 1

2.7 × 1074

2.6 × 1074

2.8 × 1074

2.9 × 1074

Solution

Question 2

about the same as predicted by Rutherford’s model

less than that predicted by Rutherford’s model

incomparable to Rutherford’s model

more than that predicted by Rutherford’s model

Solution

Question 3

more than that predicted by Rutherford’s model

same as predicted by Rutherford’s model

much less than predicted by Rutherford’s model

much more than that predicted by Rutherford’s model

Solution

Question 4

scattering is predominantly due to no collison

scattering is predominantly due to a single collision

scattering is predominantly due to multiple collisions

scattering is predominantly due to deflecting fields being proportional to t

Solution

Question 5

Thomson’s model

No model

Rutherford’s model

Bohr model

Solution

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2.7 × 10⁷⁴

2.6 × 10⁷⁴

2.8 × 10⁷⁴

2.9 × 10⁷⁴