Answer :
The tension in the string increases in the string if the ping-pong ball is replaced by a smaller spherical object of equal weight.
What is tension?
When two opposing forces pull on a rope, string, or wire, the force transmitted through the object is known as tension. The energy is pulled equally on the bodies at the ends by the tension force, which is applied along the entire length of the wire. Each physical object that comes into contact with another applies force to that object.
What is weight?
weight is the gravitational pull of a large second object, like the Moon or the Earth, on a first object.
The concepts required to solve the given question is tension in the string.
Initially, write an expression for the tension in terms of the volume, density of liquid, and the density of solid. Later, compare the tension on basis of the density of matter. Finally, compare the tension on basis of the weight of the spherical ball.
The expression for the tension in terms of the volume, density of liquid, and the density of solid is as follows:
T= v (P₁-Ps)
Here, V is the volume,
P₁ is the density of liquid, and
Ps is the density of solid.
Step: 1
The tension in the equation
T= v (P₁-Ps)
is directly proportional to the volume, density of liquid, and the density of solid. Thus, as the density of liquid increases, the tension increases. Thus, the tension in the string neither decrease nor remains same.
Explanation:
As the density of liquid increases, the tension increases. Thus, the tension in the string neither decrease nor remains same. After adding the salt to the water, the density of liquid increases.
Hint
Calculate that the tension increase using the equation
T= v (P₁-Ps)
Step: 2
Form the equation
T= v (P₁-Ps)
, it is clear that the tension increases with increase in the density of the liquid. After adding salt to water, the density of liquid increases. Hence, the tension in the string also increases.
Explanation:
The Tension will decrease as the volume displaced will decrease. Thus, the tension in the string neither decrease nor remains same. After adding the salt to the water, the density of liquid increases.
Hint:
Find whether the tension increase, decreases or does not change using the equation
T= v (P₁-Ps)
Step: 3
The weight of the spherical balls is same but the volume is decreased, Therefore, in the second terms of the equation
T= v (P₁-Ps)
, the density of the solid remains constant, but, the density of the liquid decreases. Therefore, the net tension in the string neither increases not remains same.
Explanation:
In the second terms of the equation
T= v (P₁-Ps)
, the density of the solid remains constant, but, the density of the liquid decreases.
Hint:
Find that the tension decreases using the equation
.T= v (P₁-Ps)
Step: 4
The weight of the spherical balls is same but the volume is decreased, Therefore, in the second terms of the equation
T= v (P₁-Ps)
, the density of the solid remains constant, but, the density of the liquid decreases. Therefore, the net tension decreases.
Explanation:
The density of the solid remains constant, but, the density of the liquid decreases. Therefore, the net tension decreases.
Therefore, the tension in the string increases in the string if the ping-pong ball is replaced by a smaller spherical object of equal weight.
Learn more about tension from the given link.
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