Section C — Scientific contributions & quantum physics (Q31–Q65)

Bose treated light quanta as indistinguishable. Which result best followed from that idea?

• A new kind of statistics that fit Planck’s law better

• A proof that light is classical only

• The end of quantum studies

• That particles are always different

Why was Bose’s decision to send his paper directly to Einstein important?

• It showed he lacked confidence.

• It led to Einstein translating and promoting the work, increasing its reach.

• It made the paper disappear.

• It prevented publication.

Einstein extended Bose’s method to matter (atoms). What does this show about scientific ideas?

• Good ideas can be applied to new areas and grow in power.

• Ideas cannot be shared.

• Only experiments matter, not theory.

• Ideas stay small forever.

The concept of a Bose-Einstein condensate (BEC) predicted that many particles can share one state. What practical idea does this lead to?

• No new technology can use it.

• It helps explain lasers and properties like superfluidity.

• It only applies to music.

• It proves everything is classical.

Bose’s statistics named “Bose-Einstein statistics” treat identical particles differently than Fermi-Dirac statistics. Which learning question is higher-order?

• What is Bose’s birthday?

• How does treating particles as indistinguishable change predictions about their behaviour?

• Did Bose like music?

• Where was Bose born?

Bose lacked big labs at times. Which inference explains how he still made big theoretical contributions?

• Labs are always necessary for theory.

• Deep thought, strong math skills, and clear reasoning can produce major theory without big labs.

• He cheated.

• He copied from others.

What shaped Einstein’s quick support for Bose’s paper?

• Einstein liked only experimental results.

• Einstein recognized the elegance and logic in Bose’s derivation.

• Einstein knew Bose personally since childhood.

• Einstein ignored the paper.

Bose’s ideas helped later discoveries like the Higgs-Boson. Which statement best reflects that connection?

• Early theoretical ideas can create frameworks later used by other theories and discoveries.

• Only practical experiments matter.

• Later ideas are always unrelated to earlier ones.

• Theoretical ideas are never useful.

If you had to explain why Bose’s method was “radical” in simple words, which is best?

• He used a different kind of counting that treated identical particles as the same, changing results.

• He argued against math.

• He refused to publish.

• He only used experiments.

What is the value of Bose’s translation of Einstein’s work into Bengali for scientific development?

• It isolated knowledge.

• It broadened access, so more students could learn advanced ideas in their language.

• It discouraged local students.

• It only benefited foreign scholars.