Published by:
CGP EDU Academic Team
Published on: September 12, 2026
In the following question column - I represents some physical quantities & column-II represents their units, match them
Column I | Column II | ||
(a) | Coefficient of linear expansion | (p) | Cal/°C |
(b) | Water equivalent | (q) | gm |
(c) | heat capacity | (r) | (°C)–1 |
(d) | Specific heat | (s) | Cal/g°C |
Text Solution
Verified by ExpertsThe correct answer is:
A
Step 1: Let's analyze the physical quantities in Column I and match them with the appropriate units in Column II.
(a) Coefficient of linear expansion: This is a measure of the fractional change in length per degree change in temperature. The unit is typically expressed as Cal/°C, making (a) matches with (p).
(b) Water equivalent: This is the mass of water that absorbs the same amount of heat as a given mass of a substance for the same temperature rise. The correct unit for this is gm, so (b) matches with (q).
(c) Heat capacity: This is the amount of heat required to change the temperature of a body by one degree Celsius, and its unit can be expressed in terms of Cal/°C (but we notice this is already taken), thus we use the other form which corresponds to its derivative unit (°C)–1. So (c) matches with (r).
(d) Specific heat: This is the amount of heat required to raise the temperature of 1 gram of a substance by 1°C, and its unit is Cal/g°C. Thus (d) matches with (s).
Based on the analysis, the matching pairs are:
(a) Coefficient of linear expansion: This is a measure of the fractional change in length per degree change in temperature. The unit is typically expressed as Cal/°C, making (a) matches with (p).
(b) Water equivalent: This is the mass of water that absorbs the same amount of heat as a given mass of a substance for the same temperature rise. The correct unit for this is gm, so (b) matches with (q).
(c) Heat capacity: This is the amount of heat required to change the temperature of a body by one degree Celsius, and its unit can be expressed in terms of Cal/°C (but we notice this is already taken), thus we use the other form which corresponds to its derivative unit (°C)–1. So (c) matches with (r).
(d) Specific heat: This is the amount of heat required to raise the temperature of 1 gram of a substance by 1°C, and its unit is Cal/g°C. Thus (d) matches with (s).
Based on the analysis, the matching pairs are:
- (a) with (p)
- (b) with (q)
- (c) with (r)
- (d) with (s)
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
A non-isotropic solid metal cube has coefficients of linear expansion as: 5 × 10 –5 /°C along the x…
M grams of steam at 100°C is mixed with 200g of ice at its melting point in a thermally insulated c…
Three containers C 1 , C 2 and C 3 have water at different temperatures. The table below shows the …
A cylindrical isotropic solid of coefficient of linear expansion α and density ρ floats in a liquid…
When two non-reactive samples at different temperatures are mixed in an isolated container of negli…
When m gm of water at 10°C is mixed with m gm of ice at 0°C, which of the following statements are …