Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
130 views
in Physics by (25.7k points)
closed by

Two solid spheres of same metal but of mass M and 8M fall simultaneously on a viscous liquid and their terminal velocities are v and nv, then value of n is

 A) 16

 B) 8

 C) 4

 D) 2

1 Answer

0 votes
by (25.7k points)
selected by
 
Best answer

The terminal velocity is given by v, where v α r2 (r = radius of the sphere). The mass of the sphere can be given by

\( m = \frac{4}{2} \pi r^3\rho, thus\,m \propto r^3 \)

\(\frac{m_1}{m_2} = \frac{1}{8}=( \frac{r_1}{r_2})^3 \,\,\Rightarrow\frac{r_1}{r_2} = \frac{1}{2}\)

\( and \, since, \frac{v_1}{v_2} = (\frac{r_1}{r_2})^2 = \frac{1}{4}\)

\( \Rightarrow\frac{v}{nv} = \frac{1}{4}\)

\( \Rightarrow n=4\)

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...