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MMLU-Pro / 10234 / A glass bulb with volumetric expansion coefficient…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

A glass bulb with volumetric expansion coefficient\beta_Bis weighed in water at temperatures T and T_1 . The weights of the displaced water are W and W_1, respectively. Find the volumetric expansion co-efficient\beta_Wof the water in the temperature interval from T to T_1.

category

physics

options

  1. β_W = (W/W_1)β_B + [(W_1 - W)/{W(T - T_1)}]
  2. eta_W= (W/W_1)eta_B- [(W - W_1)/{W_1(T_1 - T)}]
  3. β_W = (W_1/W)β_B - [(W_1 - W)/{W(T - T_1)}]
  4. eta_W= (W/W_1)eta_B+ [(W - W_1)/{W_1(T_1 - T)}] = [eta_B+ {(W - W_1)/W_1} {eta_B+ (1/\DeltaT)}]
  5. β_W = (W_1/W)β_B + [(W_1 - W)/{W_1(T - T_1)}]
  6. β_W = (W/W_1)β_B - [(W_1 - W)/{W_1(T - T_1)}]
  7. eta_W= (W_1/W)eta_B- [(W - W_1) / {W(T_1 - T)}]
  8. eta_W= (W_1/W)eta_B+ [(W_1 - W) / {W(T_1 - T)}]
  9. β_W = (W_1/W)β_B + [(W - W_1)/{W(T - T_1)}]
  10. β_W = β_B + [(W - W_1)/{W(T_1 - T)}]

src

stemez-Physics

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Source and history

upstream_id / Original problem ID
10234
task_id
54a995dc-04d5-54e8-ade3-6a8e3b70aa26
task_key
default--test--10234
task_revision_id
1
config / split
default / test

Official source

initial import