21,188 previous year State Engineering Entrances - East & West India (WBJEE & GUJCET) questions, grouped by year, with answers and solutions.
Directions: In the question below, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option:
Assertion (A): The square root of 2 ($\sqrt{2}$) is an irrational real number.
Reason (R): The square root of any positive prime integer is an irrational number.
Refer to the Case Study 'Case Study: Optical Fibers and Total Internal Reflection in Medical Endoscopy' to answer:
What essential conditions must be satisfied for total internal reflection to occur within the optical fiber?
Directions: In the question below, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option:
Assertion (A): The electrical conductivity of an intrinsic semiconductor increases with rise in temperature.
Reason (R): With increase in temperature, covalent bonds rupture, generating additional free conduction electrons and mobile holes.
Refer to the Case Study 'Case Study: Optical Fibers and Total Internal Reflection in Medical Endoscopy' to answer:
Calculate the critical angle $\theta_c$ for the optical fiber described in the passage ($n_1 = 1.52, n_2 = 1.48$).
Refer to the Case Study 'Case Study: Parabolic Cable Geometry in Civil Engineering Suspension Bridges' to answer:
What is the vertical height of the suspension cable at a horizontal distance of $25\text{ m}$ from the bridge center?
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