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Q17

FAILMCQpage 7holdmath reviewREVIEW_MATHP2UNREVIEWED

type=MCQ · page=7 · marks=1 · content_conf=0.7999999999999999 · math_conf=0.734

Original PDF7

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Source / evidence

file: GATE CH 2020 (with Solutions).pdf

pages: 7–7

assets/questions/Q017/residual_5fb9c91d09a3.png

Extracted17 / 67

In a constant-pressure cake filtration with an incompressible cake layer, volume of the filtrate (V) is measured as a function of time t. The plot of t /V versus V results in a straight line with an intercept of

10^4

⁻³.

Area of the filter is

0.05 m^2,

viscosity of the filtrate is

10^{ - 3}

Pa s,and the overall pressure drop across the filter is 200 kPa . The value of the filter-medium resistance (inm[VISUAL / REVIEW — NO INVENTED LATEX] Source math clip

Options

A.
$1 /times 10^9$
B.
$1 /times 10^{11}$
C.
$1 /times 10^{12}$
D.
$1 /times 10^{10}$

Answer

Solution

.

10^4 = /frac{(R_m /times 10^{-3})}{(0.05 /times 2)},00×1000)

10^8 = R_m /times 10^{-3}

⇒R_m = /frac{10^8}{10^{-3}}

R_m = 10^{11}m^{-1}

Hence, the correct option is (B).

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=7 bbox=[72,582.66,249.88,596.12]

asset=assets/questions/Q017/residual_5fb9c91d09a3.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	7	`—`	`—`none	`—`	`REVIEW`
stem	7	`—`	`—`none	`—`	`REVIEW`
stem	7	`—`	`—`none	`—`	`REVIEW`
stem	7	`—`	`—`none	`—`	`REVIEW`
stem	7	`[72,582.66,249.88,596.12]`	`assets/questions/Q017/residual_5fb9c91d09a3.png`	`—`	`PASS`
option_A	7	`—`	`—`none	`—`	`REVIEW`
option_B	7	`—`	`—`none	`—`	`REVIEW`
option_C	7	`—`	`—`none	`—`	`REVIEW`
option_D	7	`—`	`—`none	`—`	`REVIEW`
solution	7	`—`	`—`none	`—`	`REVIEW`
solution	7	`—`	`—`none	`—`	`REVIEW`
solution	7	`—`	`—`none	`—`	`REVIEW`
solution	7	`—`	`—`none	`—`	`REVIEW`
solution	7	`—`	`—`none	`—`	`REVIEW`

Equations:none

Dimensions

structurePASS
question_textFAIL
optionsFAIL
answerPASS
solutionPASS
mathREVIEW
cross_entityPASS

Issues

operator_set_changed_raw_vs_derived
option_A_operator_set_changed_raw_vs_derived
option_B_operator_set_changed_raw_vs_derived
option_C_operator_set_changed_raw_vs_derived
option_D_operator_set_changed_raw_vs_derived
content_flags_math_review_required
stem_math_review_required