What is the approximate range of thermal efficiency for a conventional gasoline internal combustion engine?
$25\%$ to $30\%$
Thermal efficiency ($ \eta_{th} $) quantifies how effectively an engine converts the chemical energy stored in fuel into useful mechanical work. It is calculated as the ratio of the net work output ($ W_{net} $) produced by the engine to the total heat energy input ($ Q_{in} $) from the fuel:
$ \eta_{th} = \frac{W_{net}}{Q_{in}} $
A conventional gasoline internal combustion engine generally operates within an approximate thermal efficiency range of $25\%$ to $30\%$.
Lower efficiency ranges, such as $10\%$ to $20\%$, are typically associated with older engine technologies, very small engines, or engines operating under suboptimal conditions (like idling or deceleration).
Higher efficiency ranges, like $35\%$ to $40\%$, are usually achieved by more advanced engine types. For instance, diesel engines often exhibit higher efficiencies, and some modern hybrid vehicles utilize specialized engine cycles (like the Atkinson cycle) that can exceed $30\%$ efficiency.
Based on these factors, the range of $25\%$ to $30\%$ is the most appropriate approximation for the thermal efficiency of a conventional gasoline internal combustion engine.
A stone is thrown horizontally from the top of a 20 m high building with a speed of 12 m/s. It hits the ground at a distance R from the building. Taking g = 10 m/s2 and neglecting air resistance will give :
A sphere of volume V is made of a material with lower density than water. While on Earth, it floats on water with its volume f1V (f1 < 1) submerged. On the other hand, on a spaceship accelerating with acceleration a < g (g is the acceleration due to gravity on Earth) in outer space, its submerged volume in water is f2V. Then:
A railway wagon (open at the top) of mass M1 is moving with speed v1 along a straight track. As a result of rain, after some time it gets partially filled with water so that the mass of the wagon becomes M2 and speed becomes v2. Taking the rain to be falling vertically and the water stationery inside the wagon, the relation between the two speeds v1 and v2 is :
Consider the following statements:
1. Distance between the longitudes becomes zero on North Pole and South Pole.
2. Distance between the longitudes is maximum on the Equator.
3. Number of longitudes is more than number of latitudes.
Which of the statements given above is/are correct?
One block of 2⋅0 kg mass is placed on top of another block of 3⋅0 kg mass. The coefficient of static friction between the two blocks is 0⋅2. The bottom block is pulled with a horizontal force F such that both the blocks move together without slipping. Taking acceleration due to gravity as 10 m/s2, the maximum value of the frictional force is :