Match List I with List II List I List II (A) Young's Modulus (Y) … - Vidyadip

MCQ

Match List $I$ with List $II$

List $I$	List $II$
$(A)$ Young's Modulus $(Y)$	$(I)$ $\left[ M L ^{-1} T ^{-1}\right]$
$(B)$ Co-efficient of Viscosity $(\eta)$	$(II)$ $\left[ M L ^2 T ^{-1}\right]$
$(C)$ Planck's Constant $(h)$	$(III)$ $\left[ M L ^{-1} T ^{-2}\right]$
$(D)$ Work Function $(\phi)$	$(IV)$ $\left[ M L ^2 T ^{-2}\right]$

Choose the correct answer from the options given below:

A
$(A)-(II), (B)-(III), (C)-(IV), (D)-(I)$
✓
$(A)-(III), (B)-(I), (C)-(II), (D)-(IV)$
C
$(A)-(I), (B)-(III), (C)-(IV), (D)-(II)$
D
$(A)-(I), (B)-(II), (C)-(III), (D)-(IV)$

✓

Answer

Correct option: B.

$(A)-(III), (B)-(I), (C)-(II), (D)-(IV)$

b
$Y =\frac{\text { Stress }}{\text { Strain }}=\frac{ F / A }{\Delta \ell / \ell}=\frac{\left[ MLT ^{-2}\right]}{\left[ L ^2\right]}=\left[ ML ^{-1} T ^{-2}\right]$

$F =6 \pi \eta rv \Rightarrow \eta=\frac{ F }{6 \pi rv }$

${[\eta]=\frac{\left[ MLT ^{-2}\right]}{[ L ]\left[ LT ^{-1}\right]}=\left[ ML ^{-1} T ^{-1}\right]}$

$E = h v \Rightarrow h =\frac{ E }{v}=\frac{\left[ ML ^2 T ^{-2}\right]}{\left[ T ^{-1}\right]}=\left[ ML ^2 T ^{-1}\right]$

Work function has same dimension as that of energy, so $[\phi]=\left[ ML ^2 T ^{-2}\right]$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from 1. units,dimensions and measurement→1. units,dimensions and measurement — all question types→Physics STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

The maximum elongation of a steel wire of $1 \mathrm{~m}$ length if the elastic limit of steel and its Young's modulus, respectively, are $8 \times 10^8 \mathrm{~N} \mathrm{~m}^{-2}$ and $2 \times 10^{11} \mathrm{~N} \mathrm{~m}^{-2}$, is:

Velocity of center of mass in the absence of external force

A vehicle with a horn of frequency $n$ is moving with a velocity of $30\, m/s$ in a direction perpendicular to the straight line joining the observer and the vehicle. The observer perceives the sound to have a frequency $n + {n_1}$. Then (if the sound velocity in air is $300\, m/s$)

An ideal gas goes from the state i to the state fas shown in figure. The work done by the gas during the process:

For circular motion, if ${\vec a_t},\,{\vec a_c},\,\vec r$ and $\vec v$ are tangential acceleration, centripetal acceleration, radius vector and velocitym respectively, then find the wrong relation

Time period of a simple pendulum is $T$. The time taken to complete $5 / 8$ oscillations starting from mean position is $\frac{\alpha}{\beta} T$. The value of $\alpha$ is ..... .

A planet has same density as that of earth and universal gravitational constant $G$ is twice that of earth, the ratio of acceleration due to gravity, is.

The volume of air increases by $5\%$ in its adiabatic expansion. The percentage decrease in its pressure will be ...... $\%$

A wire of length $2m$ is made from $10\ cm^3$ of copper. A force $F$ is applied so that its length increases by $2\ mm.$ Another wire of length $8m$ is made from the same volume of copper. If the force $F$ is applied to it, its length will increase by:

Which of the following statements is true