The solution involves analyzing each statement based on principles of physics.
Statement-I: "The hot water flows faster than cold water."
Explanation: This statement is related to viscosity. Viscosity is a measure of a fluid's resistance to deformation at a given rate. As temperature increases, the viscosity of liquids generally decreases, meaning they flow more easily. Hence, hot water has lower viscosity than cold water, allowing it to flow faster. Therefore, Statement-I is true.
Statement-II: "Soap water has higher surface tension as compared to fresh water."
Explanation: Surface tension arises due to cohesive forces between liquid molecules. When soap is added to water, it decreases the cohesive forces by disrupting the hydrogen bonds between water molecules. This results in decreased surface tension. Therefore, soap water has lower surface tension than fresh water, making Statement-II false.
Combining these analyses, the correct choice is that Statement-I is true but Statement-II is false.
A bead of mass \( m \) slides without friction on the wall of a vertical circular hoop of radius \( R \) as shown in figure. The bead moves under the combined action of gravity and a massless spring \( k \) attached to the bottom of the hoop. The equilibrium length of the spring is \( R \). If the bead is released from the top of the hoop with (negligible) zero initial speed, the velocity of the bead, when the length of spring becomes \( R \), would be (spring constant is \( k \), \( g \) is acceleration due to gravity):
Which of the following statements are true?
A. The same Bernoulli's equation is applicable to all the points in the flow field if the flow is irrotational.
B. The value of "Constant in the Bernoulli's equation" is different for different streamlines if the flow is rotational.
C. When a nozzle is fitted at the end of a long pipeline, the discharge increases.
D. The velocity of flow at the nozzle end is more than that in the case of a pipe without a nozzle, the head in both cases being the same.
Choose the most appropriate answer from the options given below:
The motion of an airplane is represented by the velocity-time graph as shown below. The distance covered by the airplane in the first 30.5 seconds is km.
The least acidic compound, among the following is
Choose the correct set of reagents for the following conversion: