Some physical constants are given in List-I a | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) $(1)$ Planck's constant: $E = h
u \implies [h] = [E]/[
u] = [ML^2 T^{-2}] / [T^{-1}] = [ML^2 T^{-1}]$. This matches (iii).$(2)$ Gravitational co

Vedclass · Accepted Answer

(iii) (iv) $(i)$ (ii)

Vedclass · Answer

(D) $(1)$ Planck's constant: $E = h
u \implies [h] = [E]/[
u] = [ML^2 T^{-2}] / [T^{-1}] = [ML^2 T^{-1}]$. This matches (iii).$(2)$ Gravitational constant: $F = G(m_1 m_2)/r^2 \implies [G] = [Fr^2]/[M^2] = [MLT^{-2}][L^2]/[M^2] = [M^{-1} L^3 T^{-2}]$. This matches (iv).$(3)$ Bulk modulus: $B = 	ext{Stress} / 	ext{Strain} = [ML^{-1} T^{-2}] / [1] = [ML^{-1} T^{-2}]$. This matches $(i)$.$(4)$ Coefficient of viscosity: $F = \eta A (dv/dx) \implies [\eta] = [F] / ([A][dv/dx]) = [MLT^{-2}] / ([L^2][LT^{-1}/L]) = [ML^{-1} T^{-1}]$. This matches (ii).Therefore,the correct matching is $(1)$-(iii),$(2)$-(iv),$(3)$-$(i)$,$(4)$-(ii). Hence,option $(d)$ is correct.

List-$I$	List-$II$
$(1)$ Planck's constant	$(i)$ $[ML^{-1} T^{-2}]$
$(2)$ Gravitational constant	(ii) $[ML^{-1} T^{-1}]$
$(3)$ Bulk modulus	(iii) $[ML^2 T^{-1}]$
$(4)$ Coefficient of viscosity	(iv) $[M^{-1} L^3 T^{-2}]$

Similar Questions

In the circuit shown in the figure,the power developed across the $1 \Omega$,$2 \Omega$,and $3 \Omega$ resistors are in the ratio of:

The enolic form of acetone contains:

What percentage of the population in India is employed in the agricultural sector?

$A$ cup of coffee cools from $90^{\circ} C$ to $80^{\circ} C$ in $t$ minutes,when the room temperature is $20^{\circ} C$. The time taken by a similar cup of coffee to cool from $80^{\circ} C$ to $60^{\circ} C$ at a room temperature same at $20^{\circ} C$ is :

Which of the following is an example of a heterogeneous catalysis reaction?

Vedclass Test Series

Exam Paper Generator

Online Exam Module