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Total: 70 Marks
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DELHI PUBLIC ACADEMY OF SCIENCES

HALF YEARLY ASSESSMENT EXAMINATION (SESSION 2026–27)

CLASS: XII (SENIOR SECONDARY) • SUBJECT: PHYSICS (THEORY)
SET: A
CODE: PHY-042
TIME ALLOWED: 3.00 HOURS
MAXIMUM MARKS: 70
Candidate Name: ____________________
Roll Number: ___________
Invigilator Sign: __________
General Instructions:
  • This question paper contains 33 questions in 5 sections.
  • Section A contains Multiple Choice Questions (MCQs) carrying 1 mark each.
  • Section B contains Short Answer Questions carrying 2 marks each.
  • Section C contains Case Study questions with internal MCQs.
  • Use of calculators and logarithmic tables is strictly prohibited.

SECTION - A (OBJECTIVE & MULTIPLE CHOICE QUESTIONS)

Questions 1 to 3 carry 1 mark each

Q1. An electric dipole of moment p is placed in a uniform electric field E. The torque acting on the dipole will be maximum when the angle between p and E is:
[1]
(A) 0°
(B) 45°
(C) 90°
(D) 180°
Q2. In the circuit shown below, determine the equivalent resistance between terminals A and B. Also calculate the current drawn from the 12V battery:
R₁ = 6 Ω A B Fig 2.1: Resistance Bridge Network
[3]

SECTION - B (CASE STUDY QUESTIONS WITH INTERNAL MCQS)

Question 3 carries 4 marks (Contains nested objective MCQs)

Q3. CASE STUDY / COMPREHENSION PASSAGE:
[4]
Photovoltaic Effect in Solar Cells: A solar cell is essentially a p-n junction diode which generates an electromotive force when solar radiation falls on it. The generation of emf occurs via three sequential processes: (i) generation of electron-hole pairs due to light absorption near the junction, (ii) separation of electrons and holes due to the electric field of the depletion region, and (iii) collection of electrons at the n-side and holes at the p-side. Silicon and GaAs are preferred materials due to their suitable optical band gap energies (~1.1 to 1.5 eV).
(i) Solar cells are fabricated from semiconductor materials having an optimal band gap of:
[1]
(a) 0.2 to 0.5 eV
(b) 1.1 to 1.5 eV
(c) 3.0 to 4.5 eV
(d) > 6.0 eV
(ii) During illumination of a solar cell, electrons are driven and collected towards the:
[1]
(a) p-side contact
(b) n-side contact
(c) Both sides equally
(d) Middle barrier
(iii) Why is GaAs preferred over Silicon for space solar cell arrays despite its higher production cost?
[2]