No.

Question

Year

A body  at temperature is placed in room whose temperature of and cools to in minutes. Find the time when the temperature will be .

May 2018

2.      

Water at temperature cools in minutes to in room temperature of . Find the temperature of water after minutes .

May 2017

3.      

A resistance of , an inductance of henery are connected in a series with a battery of volts. Find the current in a circuit as a function of time .

May 2017

4.      

A body starts moving from rest is opposed by a force per unit mass of value and resistance per unit mass of a value , where and be the displacement and velocity of the particle at that  instant. Show that the velocity of the particle is given by

May 2017

5.      

A resistance of , an inductance of henery are connected in a series with a battery of volts. Find the current in a circuit if

May 2018

6.      

A particle of mass is projected vertically upward with velocity . Assuming that the air resistance is times the velocity, show that particle will reach maximum height in time 

May 2019

7.      

A body originally at cools to in minutes, the temperature of air being , what will be the temperature of the body after minutes.

May 2019

8.      

A circuit consists of resistance and condenser of farads connected to a constant e.m.f. volts. If   is the voltage of condenser at time after closing the circuit, show that :

May 2019

9.      

A voltage is appliedat to a circuit containing inductance and resistance . Show that the current at any time is given by

   provided at .

Dec 2016

10.  

A body of mass , falling from rest, is subject to the  force of value and gravity and an air resistance proportional to the square of velocity i.e. , where is constant of proportionality , if it falls through a distance   and possesses a velocity at that instant ,show that   where

Dec 2016 Dec 2017

11.  

The temperature of air is  The substance kept in air   cools from to in minutes. Find the time required to reduce the temperature of the substance up to .

Dec 2016

12.  

If the  temperature of the body  drops from  to in one minute when  the  temperature of surrounding is What will be  the temperature of the body at the end of third minute.

Dec 2017

13.  

A constant electromotive force volts is applied to a circuit containing a constant Resistance ohms in a series and constant inductance henries. If the initial current is zero. Show that the current builds up to half it’s theoretical maximum in sec.

Dec 2017

14.  

A body  at temperature is placed in room whose temperature of and cools to in minutes. What will be the temperature after minutes.

Dec 2018

15.  

A resistance of ohms , an inductance of H are connected in a series with a battery of volts. Find the current in a circuit if

Dec 2018

16.  

A particle of mass falls under gravity in fluid whose resistance to motion at any instant is times the velocity where k is constant. Find the terminal velocity of the body.

Dec 2018

17.  

A long hollow pipe has an inner diameter of 10 cm and outer diameter of 20 cm. The inner surface is kept at 200ºC and the outer surface at 50ºC. The thermal conductivity is 0.12. Find the temperature at a distance 7.5 cm from the center of the pipe.

Dec 2019

18.  

A body at temperature 100ºC is placed in a room whose temperature is 20ºC and cools to 60ºC in 5 minutes. Find its temperature after a further interval of 3 minutes.

Dec 2019

19.  

A resistance of ohms, an inductance of henry are connected in a series with a battery of volts. Find the current in the circuit if at

Dec 2019