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  • Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R Assertion A : A spherical body of radius (5 <img alt="\pm" src="ht

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R
Assertion A : A spherical body of radius (5 \pm0.1) mm having a particular density is falling through a liquidof constant density. The percentage error in the calculation of its terminal velocity is 4%
Reason R : The terminal velocity of the spherical body falling through the liquid is inversely proportional to its radius.
In the light of the above statements, choose the correct answer from the options given below
 

Option: 1

Both A and R are true but R is NOT the correct explanation of A
 


Option: 2

Both A and R true and R is the correct explanation of A
 


Option: 3

A is false but R is true


Option: 4

A is true but R is false
 


Answers (1)

best_answer

Terminal velocity of a spherical body in liquid

$$ \begin{aligned} & V_t \propto r^2 \\ & \frac{\Delta V_t}{V_t}=2 \frac{\Delta r}{r} \\ & \frac{\Delta V_t}{V_t} \times 100 \%=2 \times \frac{0.1}{5} \times 100=4 \% \end{aligned}\\ \\ Also, V \propto r^2

Reason (R) is false

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Divya Prakash Singh

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