Frequency is the function of density $(\rho )$, length $(a)$ and surface tension $(T)$. Then its value is
Frequency is the function of density $(\rho )$, length $(a)$ and surface tension $(T)$. Then its value is
- A
$k{\rho ^{1/2}}{a^{3/2}}{\bf{/}}\sqrt T $
- B
$k{\rho ^{3/2}}{a^{3/2}}/\sqrt T $
- C
$k{\rho ^{1/2}}{a^{3/2}}/{T^{3/4}}$
- D
$k{\rho ^{1/2}}{a^{1/2}}/{T^{3/2}}$
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- [JEE MAIN 2021]
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Match List $I$ with List $II$
LIST$-I$
LIST$-II$
$(A)$ Torque
$(I)$ $ML ^{-2} T ^{-2}$
$(B)$ Stress
$(II)$ $ML ^2 T ^{-2}$
$(C)$ Pressure of gradient
$(III)$ $ML ^{-1} T ^{-1}$
$(D)$ Coefficient of viscosity
$(IV)$ $ML ^{-1} T ^{-2}$
Choose the correct answer from the options given below
Match List $I$ with List $II$
| LIST$-I$ | LIST$-II$ |
| $(A)$ Torque | $(I)$ $ML ^{-2} T ^{-2}$ |
| $(B)$ Stress | $(II)$ $ML ^2 T ^{-2}$ |
| $(C)$ Pressure of gradient | $(III)$ $ML ^{-1} T ^{-1}$ |
| $(D)$ Coefficient of viscosity | $(IV)$ $ML ^{-1} T ^{-2}$ |
Choose the correct answer from the options given below
- [JEE MAIN 2023]
Which of the following is dimensionally incorrect?
Which of the following is dimensionally incorrect?