From the graph shown find the time `t_2` if initial temperature of the water = 80C

A copper slug whose mass m_(c ) is 75 g is heated in a laboratory oven to a temperature T of 312^(@)C . The slug is then dropped into a glass beaker containing a mass m_(w ) = 220g of water. The heat capacity C_(b) of the beaker is 45 cal // K. The initial temperature T_(i) of the water and the beaker is 12^(@)C . Assuming that the slug, beaker, and water are an isolated system and the water does not vaporize, find the final temperature T_(f ) of the system at thermal equilibrium.

A 10 g ice cube is dropped into 45 g of water kept in a glass. If the water was initially at a temperature of 28^(@)C and the temperature of ice -15^(@)C , find the final temperature (in ^(@)C ) of water. (Specific heat of ice =0.5" "cal//g-""^(@)C" and "L=80" "cal//g)

For a particle moving in a straight line, the position-time graph is as shown in the figure. Find the velocity of the particle at time t=1 s and t=4 s . Also sketch the v-t graph.

A car is moving on a straight road. The velocity of the car varies with time as shown in the figure. Initially (at t=0), the car was at x=0 , where, x is the position of the car at any time 't'. The displacement time graph will be best represented by :-

100g of ice at 0C is mixed with 100g of water 80C The final temperature of the mixture will be

Water at temperature 100^@C cools in 10 minutes to 80^@C in a room of temperature 25^@C. Find (i) The temperature of water after 20 minutes (ii) The time when the temperature is 40^@C [Given: (log)_e(11)/(15)=-0. 3101 ,log5=1. 6094 ]

From the following v-t graph, find the displacement for time interval t=3 to t=12 s .

The current-voltage graph for a given speciment at two different temperatures T_1 and T_2 are shown in the figure. Is the specimen ohmic ? (b) At which temperature resistance is greater ? ( c) Which temperature is higher ? .

Initially, a beaker has 100 g of water at temperature 90^(@)C . Later another 600g of water at temperature 20^(@)C was poured into the beaker. The temperature, T of the water ("in ".^(@)C) after mixing is

Initially , a bearker has 100 g of water at temperature 90^@C Later another 600 g of water at temperatures 20^@C was poured into the beaker. The temperature ,T of the water after mixing is