Q.
A body cools in a surrounding which is at a constant temperature of θ0. Assume that it obeys Newton's law of cooling. Its temperature θ is plotted against time t. Tangents are drawn to the curve at the points Pθ=θ2 and Qθ=θ1. These tangents meet the time axis at angles of ϕ2 and ϕ1, as
see full answer
Want to Fund your own JEE / NEET / Foundation preparation ??
Take the SCORE scholarship exam from home and compete for scholarships worth ₹1 crore!*
An Intiative by Sri Chaitanya
a
tanϕ2tanϕ1=θ1−θ0θ2−θ0
b
tanϕ2tanϕ1=θ2−θ0θ1−θ0
c
tanϕ1tanϕ2=θ1θ2
d
tanϕ1tanϕ2=θ2θ1
answer is B.
(Unlock A.I Detailed Solution for FREE)
Ready to Test Your Skills?
Check your Performance Today with our Free Mock Test used by Toppers!
Take Free Test
Detailed Solution
For θ−t plot, rate of cooling =dθdt= slope of the curve. At P,dθdt=tanϕ2=k(θ2−θ0), where k= constant. At Q, dθdt=tanϕ1=kθ1−θ0⇒tanϕ2tanϕ1=θ2−θ0θ1−θ0
Watch 3-min video & get full concept clarity