Two slabs of equal thickness and cross-sectional area have thermal conductivities K1 and K2. If they are joined in series, the equivalent thermal conductivity of the combination is: MCQ with Answer and Explanation

Two slabs of equal thickness and cross-sectional area have thermal conductivities K1 and K2. If they are joined in series, the equivalent thermal conductivity of the combination is:
A. K1 * K2 / (K1 + K2)
B. sqrt(K1^2 + K2^2)
C. (K1 + K2) / 2
D. 2K1 * K2 / (K1 + K2)
Answer: Option D
Solution (By JKExamLibrary)
For slabs in series, the rate of heat flow (H) is the same. Total resistance R_eq = R1 + R2. Since thermal resistance R = L / (KA), and total length is 2L: (2L) / (K_eq * A) = (L / K1A) + (L / K2A). Canceling L/A yields 2/K_eq = 1/K1 + 1/K2. Solving gives K_eq = 2K1K2 / (K1 + K2).

Discuss this Question (0)

No comments yet. Be the first to start the discussion!

Practice More Physics Questions

Question #1
What is the minimum distance required to hear a distinct echo? (Assuming speed of sound in air is 344 m/s)
A. 34.4 meters
B. 17.2 meters
C. 25.6 meters
D. 10 meters

Correct Answer: Option B


Explanation:
The human ear retains the sensation of sound for about 0.1 seconds (persistence of hearing). To hear a distinct echo, the reflected sound must reach the ear after at least 0.1 s. Distance traveled by sound = Speed × Time = 344 m/s × 0.1 s = 34.4 m. Since this is the total distance (go and return), the minimum distance to the obstacle is 34.4 / 2 = 17.2 meters.

This question belongs to: Science Physics
Question #2
Low Earth orbit satellite period:
A. 90 minutes
B. 12 hours
C. 24 hours
D. 84 minutes

Correct Answer: Option D


Explanation:
T = 2π√(R/g) ≈ 5076 s ≈ 84.6 min for r ≈ Earth radius. Standard result. Memory aid: 'Low orbit: ~84 min; geostationary: 24 hours'. Orbital mechanics fact frequently tested in competitive exams.

This question belongs to: Science Physics
Question #3
Which of the following is an SI derived unit named after a scientist?
A. Pascal
B. Metre
C. Second
D. Kilogram

Correct Answer: Option A


Explanation:
Pascal (Pa) named after Blaise Pascal, derived unit for pressure (N/m²). Metre, kilogram, second are base units. Joule, watt, newton, hertz, coulomb also named scientists.

This question belongs to: Science Physics