List of top Physics Questions on Newtons Law of Cooling asked in MHT CET

A sphere having temperature 600 K is losing heat due to radiation. At this temperature its rate of cooling is \(R\). The rate of cooling of this sphere at 400 K is \(\frac{x}{243}\). The value of \(x\) is (Temperature of surrounding is 300 K)

A body cools from a temperature \(3θ\) to \(2θ\) in 10 minute. The room temperature is \(θ\). The temperature of the body at the end of the next 10 minute is '\(x\)'. Assuming that Newton's law of cooling is applicable, the value of '\(x\)' will be

A bowl filled with very hot water cools from \(98^{\circ}\text{C}\) to \(86^{\circ}\text{C}\) in 2 minutes when the room temperature is \(22^{\circ}\text{C}\). How long it will take to cool from \(75^{\circ}\text{C}\) to \(69^{\circ}\text{C}\) ?

An ordinary body cools from \(4θ\) to \(3θ\) in 't' minutes. The temperature of the body after next 't' minutes is (Assume Newton's law of cooling and room temperature as \(θ\))

A body cools in \(7\) minutes from \(60^{\circ}\)C to \(40^{\circ}\)C. What time (in minutes) does it take to cool from \(40^{\circ}\)C to \(28^{\circ}\)C, if its surrounding temperature is \(10^{\circ}\)C ? (Newton's law of cooling holds good)

Hot water cools from 80°C to 60°C in 1 minute. In cooling from 60°C to 50°C it will take (room temperature = 30°C)

A body cools from $60^\circ\text{C}$ to $40^\circ\text{C}$ in 6 minutes. After next 6 minutes its temperature will be (Temperature of the surroundings is $10^\circ\text{C}$ )}

What is the angular frequency \( \omega \) of a simple harmonic oscillator with mass \( m \) and spring constant \( k \)?