GATE CY year:2019 PYQs & Answers — Page 7

Questions 61–65 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 7 of 7

For a bimolecular gas phase reaction P + Q → R, the pre-exponential factor is 1 × 10¹³ dm³ mol⁻¹ s⁻¹. The standard entropy of activation at 25 °C is ______ J K⁻¹ mol⁻¹. (Round off to two decimal points)

(The standard concentration c° = 1 mol dm⁻³, Planck constant h = 6.62 × 10⁻³⁴ J s; Boltzmann constant kB = 1.38 × 10⁻²³ J K⁻¹; Gas constant R = 8.31 J mol⁻¹ K⁻¹)

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Character table of point group D₈ is given below.

D₈	E	2C₈	2C₄	2C₈³	C₂	4C₂′	4C₂″
A₁	a	1	1	1	1	1	1
A₂	b	1	1	1	1	h	i
B₁	c	−1	1	−1	1	1	j
B₂	d	−1	1	−1	1	−1	1
E₁	e	√2	0	−√2	−2	0	0
E₂	f	0	−2	0	k	0	0
E₃	g	−√2	0	√2	−2	0	0

Value of (a + b + c + d + e + f + g + h + i + j + k) is equal to ________

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, where

and

are spin angular momentum operators and

is spin up eigen function, then the value of ‘a’ is ________. (Round off to one decimal place)

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A particle in one dimensional box of length

with potential energy

is perturbed by the potential

eV, where

is a constant. The 1st order correction to the 1st excited state of the system is __________ ×

eV.

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Consider a two dimensional harmonic oscillator with angular frequency

. The wavelength of x polarized light required for the excitation of a particle from its ground state to the next allowed excited state is ________ ×

m. (Round off to one decimal place)

(Speed of light

)

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GATE CY year:2019 PYQs

Question 51

Question 52

Question 53

Question 54

Question 55