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Q28

FAILMCQpage 12holdmath reviewREVIEW_MATHP2UNREVIEWED

type=MCQ · page=12 · marks=1 · content_conf=0.7999999999999999 · math_conf=0.749

Original PDF12

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Source / evidence

file: GATE CH 2020 (with Solutions).pdf

pages: 12–12

assets/questions/Q028/residual_bf34c19c99ed.png

Extracted28 / 67

A rigid spherical particle undergoes free settling in a liquid of density 750 kgm

⁻³

and viscosity

9.81 /times 10^{ - 3}

Pa s. Density of the particle is 3000 kgm

⁻³

and the particle diameter is

2 /times 10 ⁻⁴ m.

Acceleration due to gravity is9.81 ms

⁻².

Assuming stokes’ law to be valid, the terminal settling velocity (inms[VISUAL / REVIEW — NO INVENTED LATEX] Source math clip

of the particle is

Options

A.
$4 /times 10^{ - 3}$
B.
$3 /times 10^{ - 3}$
C.
$2 /times 10^{ - 3}$
D.
$5 /times 10^{ - 3}$

Answer

Solution

V_t = /frac{(g /times D_p^2 /times (ρ_p-p))}{(18 /times /mu{})}

V_t = /frac{(9.81 /times (2 /times 10^{-4})^2 /times (3000-750))}{(₃18 /times 9.81 /times 10^{-3})}

V_t = 5 /times 10^{-}

Hence, the correct option is (D).

Why review

Category: REVIEW_MATH · Priority: P2 · Disposition: extraction_defect

Extractor validation_status=low_confidence.

Suggested action: compare_pdf_and_extracted

Human review

state=UNREVIEWED · resolution=— · trust=UNRESOLVED · WAVE-12 priority=P2

Review actions

Writes a viewer overlay only. Never converts verification REVIEW into automatic PASS.

ActionFieldReason

No overlay recorded yet.

Math review evidence

stem · REVIEW_REQUIRED · —

Source clip

page=12 bbox=[36,303.08,454.57,316.4]

asset=assets/questions/Q028/residual_bf34c19c99ed.png

Raw text

⁻¹)

Current normalized

⁻¹)

method=unicode_normalize

Resolver / candidate

[VISUAL / REVIEW — NO INVENTED LATEX]

status=REVIEW

reason=fraction_bar_ambiguous

Reason for review: unmatched_paren, structure:unexpected_SUP, structure:unparsed_tail, structure:unmatched_paren, fraction_bar_ambiguous

Provenance status

Source PDF: GATE CH 2020 (with Solutions).pdf

Segment	Page	BBox	Asset	Equation	Link
stem	12	`—`	`—`none	`—`	`REVIEW`
stem	12	`—`	`—`none	`—`	`REVIEW`
stem	12	`—`	`—`none	`—`	`REVIEW`
stem	12	`—`	`—`none	`—`	`REVIEW`
stem	12	`—`	`—`none	`—`	`REVIEW`
stem	12	`[36,303.08,454.57,316.4]`	`assets/questions/Q028/residual_bf34c19c99ed.png`	`—`	`PASS`
option_A	12	`—`	`—`none	`—`	`REVIEW`
option_B	12	`—`	`—`none	`—`	`REVIEW`
option_C	12	`—`	`—`none	`—`	`REVIEW`
option_D	12	`—`	`—`none	`—`	`REVIEW`
solution	12	`—`	`—`none	`—`	`REVIEW`
solution	12	`—`	`—`none	`—`	`REVIEW`
solution	12	`—`	`—`none	`—`	`REVIEW`

Equations:none

Dimensions

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optionsFAIL
answerPASS
solutionPASS
mathREVIEW
cross_entityPASS

Issues

operator_set_changed_raw_vs_derived
option_A_operator_set_changed_raw_vs_derived
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