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Chapter 8: Problem 35

Terminal velocity of water drops depends upon the (A) Radius of drop (B) Charge of drop (C) Temperature of drop (D) Velocity of light

Short Answer

Expert verified
The terminal velocity of water drops mainly depends on the radius of the drop (Option A), as it directly impacts air resistance. Other factors, such as charge, temperature, and the velocity of light, either have minimal effects or are irrelevant in determining the terminal velocity.

Step by step solution

01

Understanding Terminal Velocity

Terminal velocity is the constant maximum velocity reached by a freely falling object when the force of gravity acting on it is balanced by the opposing force of air resistance. In the case of water drops, this means that the terminal velocity is the constant speed the water drops reach when they fall through the air.
02

Analyzing the Options

To find the terminal velocity, let's analyze the given options. (A) Radius of drop: The size of the drop will affect the surface area in contact with the air, which directly impacts air resistance. Therefore, terminal velocity depends on the radius of the drop. (B) Charge of drop: The charge of the water drop will affect the motion of the drop only if there is an external electric field. In our case, as we are considering only the free fall of water drops, the charge of the drop does not affect the terminal velocity. (C) Temperature of drop: Temperature can have some effect on the viscosity of water and air, but its effect on terminal velocity is very minimal as compared to the size/radius of the drop. (D) Velocity of light: This option is irrelevant as it has no relation with the terminal velocity of water drops.
03

Conclusion

Based on the analysis, the main factor affecting the terminal velocity of water drops is the radius of the drop (Option A). All other options are either irrelevant or have minimal effect on the terminal velocity.

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