Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8
Banner 9

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

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.
An Intiative by Sri Chaitanya

a

tan⁡ϕ2tan⁡ϕ1=θ1−θ0θ2−θ0

b

tan⁡ϕ2tan⁡ϕ1=θ2−θ0θ1−θ0

c

tan⁡ϕ1tan⁡ϕ2=θ1θ2

d

tan⁡ϕ1tan⁡ϕ2=θ2θ1

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

Detailed Solution

For θ−t plot, rate of cooling =dθdt= slope of the curve.  At  P,dθdt=tan⁡ϕ2=k(θ2−θ0), where k= constant.  At  Q, dθdt=tan⁡ϕ1=kθ1−θ0⇒tan⁡ϕ2tan⁡ϕ1=θ2−θ0θ1−θ0
Watch 3-min video & get full concept clarity

courses

No courses found

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon
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