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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Units and Dimensions

NTA Abhyas 2020 · Physics · Units and Dimensions

Coefficient of thermal conductivity is the product of heat,...

Coefficient of thermal conductivity is the product of heat, distance and reciprocal of (area ×\times difference in temperature ×\times time). The new value of a unit of coefficient of thermal conductivity, if fundamental units are 21.6kg21.6\text{kg}, 1 decimetre\text{1 decimetre}, 4 K\text{4 K} and 1 minute\text{1 minute}will be ______ ×10−6\times {10}^{- 6} new units.

Correct answer

02.50

Step-by-step solution

Coefficient of thermal conductivity, k=Q×lA×Δθ×tk = \dfrac{Q \times l}{A \times \Delta \theta \times t}

⇒K=ml2t2×ll2×Δθ×t⇒ K = \dfrac{\dfrac{m{l}^{2}}{{t}^{2}} \times l}{{l}^{2} \times \Delta\theta \times t}

⇒K=m×lΔθ×t3=21.6×0.14×(60)3⇒ K = \dfrac{m \times l}{\Delta\theta \times {t}^{3}} = \dfrac{21.6 \times 0.1}{4 \times {\left(60\right)}^{3}}

=2.5×10−6= 2.5 \times {10}^{- 6} new units
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