Class 11th

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New answer posted

9 months ago

0 Follower 9 Views

A
alok kumar singh

Contributor-Level 10

Given, ν = (3.29 x 1015 Hz) (1/32 – 1/n2)

= (3.29 x 1015 Hz) (1/32 – 1/n2)

(3 x 108 ms-1) / (1.285 x 10-6 m) = (3.29 x 1015 Hz) (1/32 – 1/n2)

2.3346 x 1014 = (3.29 x 1015 Hz) (1/32 – 1/n2)

2.3346 / 32.9 = 1/32 – 1/n2

0.071 = 1/9 – 1/n2

1/n2 = 1/9 – 0.071= 0.111 – 0.071 = 0.04

n2 = 1/ 0.04 = 25

=> n = 5

For n = 5, Paschen series lies in infrared region of the spectrum.

New answer posted

9 months ago

0 Follower 4 Views

P
Payal Gupta

Contributor-Level 10

This is a short answer type question as classified in NCERT Exemplar

The rotation around C-C single bond is possible but it is not completely free due to the torsional strain which is about 1-20 KJ mol-1.

New answer posted

9 months ago

0 Follower 10 Views

A
alok kumar singh

Contributor-Level 10

λ = 150 pm, v = 1.5 x 107 m s-1

Kinetic energy, K.E. = ½ mv2 = ½ x 9.1 x 10-31 kg x (1.5 x 107 ms-1)2

= [ (9.1 x 1.5 x 1.5) / 2] x 10-31 +14

= 10.2375 x 10-17 J = 1.02375 x 10-16 J

K.E = hc/ λ = (6.626 x 10-34 kg m2 s-1) / (3 x 108 ms-1) / (1.5 x 10-10 m)

= [ (6.626 x 3) x 10-34+8+10] / 1.5  

= 13.252 x 10-16 J

We know, E = W0 + K.E.

W0 = E – K.E.  = (13.252 – 1.024) x 10-16 J

= 12.228 x 10-16 J

= 12.228 10-16 / 1.602 x 10-19

= 7.63 x 103 eV

New answer posted

9 months ago

0 Follower 17 Views

A
alok kumar singh

Contributor-Level 10

λ = 256.7 nm = 256.7 x 10-9 m

K.E. = 0.35 eV

E = hc/ λ = (6.626 x 10-34Js) / (3 x 108 ms-1) / (256.7 x 10-9 m)

= (6.626 x 3 x 10-17) J/ 256.7

= (6.626 x 3 x 10-17) / (256.7 x 1.602 x 10-19) eV

E = 4.83 eV

The potential applied to silver gets converted into kinetic energy of the photoelectron.

So, Kinetic energy, K.E= 0.35 V

=> K.E= 0.35 eV          

E = W0 + K.E.

=> W0 = E – K.E.

= 4.83 eV – 0.35 eV = 4.48 eV.

New answer posted

9 months ago

0 Follower 14 Views

P
Payal Gupta

Contributor-Level 10

This is a short answer type question as classified in NCERT Exemplar

Yes, it will execute geometrical isomerism as the product formed can be either cis-2-butene or trans-2-butene.

New answer posted

9 months ago

0 Follower 62 Views

A
alok kumar singh

Contributor-Level 10

Let the threshold wavelength be λ0 nm or λ0 * 10−9 m.

h (ν−ν0) = ½ mv2

hc (1/λ−1/λ0)= ½ mv2

hc [ (1/500*10−9) – (1/ λ0*10−9)] = ½ m (2.55*106)2 . (1)

Similarly,

hc [ (1/450*10−9) – (1/λ0? *10−9? )] = ½? m (4.35*106)2 . (2)

Similarly,

hc [ (1/400*10−9) – (1/λ0? * 10−9? )] = ½? m (5.2 * 106)2  . (3)

Divide equation (2) by (1),

[ (λ0 – 450) /450λ0] x – [500λ0/ (λ0 – 500)] = (4.35/ 2.55)2

0 – 450)/ (λ0 – 500) = 2.61

λ0= 531 nm.

This is the threshold wavelength.

The value of the threshold wavelength is substituted in equation (3).

h *3*108 (1/400*10−9– 1/531*10−9)= ½ *9.1

...more

New answer posted

9 months ago

0 Follower 30 Views

A
alok kumar singh

Contributor-Level 10

W0 = 1.9 eV = 1.9 x 1.602 x 10-19 J

Threshold frequency, v0 = W0 / h = (1.9 x 1.602 x 10-19 J) / (6.626 x 10-34Js)

= 0.459 x 1015 s-1 = 4.59 x 1014 s-1

Threshold wavelength? 0 = c / v0 = (3 x 108 ms-1) / (4.59 x 1014 s-1)

= 0.6536 x 10-6 m = 653.6 nm? 654 nm

Kinetic energy, E = E0 + ½ mv2

(1/2 mv2) = E – E0 = hc [ (1/? ) – (1/? 0)]

= (6.626 x 10-34Js) x (3 x 108 ms-1) / (10-9) x [ (1/500) – (1/654)]

= 6.626 x 3 x 154 x 10-34+8+9) / (500 x 654)

= 9.36 x 10-20 J

Velocity, v = [ (2 x 9.36 x 10-20) / m]1/2

= [ (2 x 9.36 x 10-20) kg m2 s-2 / 9.1 x 10-31 kg]1/2

= (2.057 x 1011 m2s-2)1/2= (20.57 x 1010 m2s-2)1/2

= 4.5356 x 105 ms-1

New answer posted

9 months ago

0 Follower 3 Views

A
alok kumar singh

Contributor-Level 10

λ1 = 589 nm = 589 x 10-9 m

ν1 = c / λ1 = (3 x 108 ms-1) / (589 x 10-9 m) = 5.0934 x 1014 s-1

λ2 = 589.6 nm = 589.6 x 10-9 m

ν2 = c / λ2 = (3 x 108 ms-1) / (589.6 x 10-9 m) = 5.0882 x 1014 s-1

ΔE = E1 – E2 = h [ν1 – ν2]

= (6.626 x 10-34Js) x [ (5.0934 x 1014 s-1) – (5.0882 x 1014 s-1)

= 3.31 x 10-22 J

New answer posted

9 months ago

0 Follower 4 Views

A
alok kumar singh

Contributor-Level 10

Time duration, t = 2 ns = 2 x 10-9 s

Frequency, ν = 1 / t = 1 / 2 x 10-9 s = 109 / 2 s-1

Energy of one photon, E = hν = 6.626 x 10-34Js) x (109 / 2 s-1) = 3.25 x 10-25 J

No. of photons = 2.5 x 105

Energy of source = 3.3125 x 10-25 J x 2.5 x 1015 = 8.28 x 10-10 J

New answer posted

9 months ago

0 Follower 13 Views

A
alok kumar singh

Contributor-Level 10

Energy of one photon, E = hν = 6.626 x 10-34Js) x (3 x 108 / 2 ms-1) / 600 x 10-9

= 3.31 x 10-19 J

No. of photons = (3.15 x 10-18) / 3.31 x 10-19 = 9.52 ≈ 10.

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