Medium
Find the rate of change of the total surface area of a cylinder of radius $r$ and height $h$,when the radius varies with respect to time $t$.
- A$2 \pi h \frac{dr}{dt}$
- B$(4 \pi r + 2 \pi h) \frac{dr}{dt}$
- C$(4 \pi h + 2 \pi r) \frac{dr}{dt}$
- D$(4 \pi r) \frac{dr}{dt}$
Explore More
Similar Questions
Match the physical quantities in List-$I$ with their dimensional formulas in terms of mass $(M)$, length $(L)$, time $(T)$ and electric current $(A)$ given in List-$II$.
List-$I$ List-$II$ $(a)$ Torque $(i)$ $[M^{-1}L^{-2}T^4A^2]$ $(b)$ Gravitational constant (ii) $[M^1L^2T^{-1}]$ $(c)$ Capacitance (iii) $[M^{-1}L^3T^{-2}]$ $(d)$ Planck's constant (iv) $[M^1L^2T^{-2}]$
| List-$I$ | List-$II$ |
| $(a)$ Torque | $(i)$ $[M^{-1}L^{-2}T^4A^2]$ |
| $(b)$ Gravitational constant | (ii) $[M^1L^2T^{-1}]$ |
| $(c)$ Capacitance | (iii) $[M^{-1}L^3T^{-2}]$ |
| $(d)$ Planck's constant | (iv) $[M^1L^2T^{-2}]$ |
MediumKCET 2026
View SolutionMatch List-$I$ with List-$II$ and select the correct answer.
List-$I$ List-$II$ $A$. Spring constant $1$. $M^1L^2T^{-2}$ $B$. Pascal $2$. $M^0L^0T^{-1}$ $C$. Hertz $3$. $M^1L^0T^{-2}$ $D$. Joule $4$. $M^1L^{-1}T^{-2}$
| List-$I$ | List-$II$ |
|---|---|
| $A$. Spring constant | $1$. $M^1L^2T^{-2}$ |
| $B$. Pascal | $2$. $M^0L^0T^{-1}$ |
| $C$. Hertz | $3$. $M^1L^0T^{-2}$ |
| $D$. Joule | $4$. $M^1L^{-1}T^{-2}$ |
Medium
View SolutionThe units of length,velocity,and force are doubled. Which of the following is the correct change in the other units?
Difficult
View SolutionWhich of the following does not have the same unit as the others?
Easy
View SolutionMatch List $I$ with List $II$:
List $I$ List $II$ $A$. Torque $I$. $[M^1 L^1 T^{-2} A^{-2}]$ $B$. Magnetic field $II$. $[L^2 A^1]$ $C$. Magnetic moment $III$. $[M^1 T^{-2} A^{-1}]$ $D$. Permeability of free space $IV$. $[M^1 L^2 T^{-2}]$
Choose the correct answer from the options given below:
| List $I$ | List $II$ |
| $A$. Torque | $I$. $[M^1 L^1 T^{-2} A^{-2}]$ |
| $B$. Magnetic field | $II$. $[L^2 A^1]$ |
| $C$. Magnetic moment | $III$. $[M^1 T^{-2} A^{-1}]$ |
| $D$. Permeability of free space | $IV$. $[M^1 L^2 T^{-2}]$ |
Choose the correct answer from the options given below:
DifficultJEE MAIN 2024
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo