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

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

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

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(D) $(1)$ Planck's constant $(h)$: $E = h
u \implies [h] = [E]/[
u] = [ML^2 T^{-2}] / [T^{-1}] = [ML^2 T^{-1}]$. This matches (iii).$(2)$ Gravitational constant $(G)$: $F = G(m_1 m_2)/r^2 \implies [G] = [F r^2] / [M^2] = [MLT^{-2}][L^2] / [M^2] = [M^{-1} L^3 T^{-2}]$. This matches (iv).$(3)$ Bulk modulus $(B)$: $B = 	ext{Stress} / 	ext{Strain} = [ML^{-1} T^{-2}] / [M^0 L^0 T^0] = [ML^{-1} T^{-2}]$. This matches $(i)$.$(4)$ Coefficient of viscosity $(\eta)$: $F = \eta A (dv/dx) \implies [\eta] = [F] / ([A][dv/dx]) = [MLT^{-2}] / ([L^2][LT^{-1}/L]) = [MLT^{-2}] / [L^2 T^{-1}] = [ML^{-1} T^{-1}]$. 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) $[M^{-1} L^3 T^{-2}]$

List-$I$	List-$II$
$(i)$ Curie	$(A)$ $MLT^{-2}$
$(ii)$ Light year	$(B)$ $M$
$(iii)$ Dielectric strength	$(C)$ Dimensionless
$(iv)$ Atomic weight	$(D)$ $T$
$(v)$ Decibel	$(E)$ $ML^2T^{-2}$
	$(F)$ $MT^{-3}$
	$(G)$ $T^{-1}$
	$(H)$ $L$
	$(I)$ $MLT^{-3}I^{-1}$
	$(J)$ $LT^{-1}$

$LIST$-$I$	$LIST$-$II$
$(A)$ Surface tension	$(I)$ $kg m^{-1} s^{-1}$
$(B)$ Pressure	$(II)$ $kg m s^{-1}$
$(C)$ Viscosity	$(III)$ $kg m^{-1} s^{-2}$
$(D)$ Impulse	$(IV)$ $kg s^{-2}$

List-$I$	List-$II$
$(a)$ Torque	$(i)$ ${MLT}^{-1}$
$(b)$ Impulse	$(ii)$ ${MT}^{-2}$
$(c)$ Tension	$(iii)$ ${ML}^{2} {T}^{-2}$
$(d)$ Surface Tension	$(iv)$ ${ML} {T}^{-2}$

Similar Questions

Match List-$I$ with List-$II$:

$LIST$-$I$ $LIST$-$II$

$(A)$ Surface tension $(I)$ $kg m^{-1} s^{-1}$

$(B)$ Pressure $(II)$ $kg m s^{-1}$

$(C)$ Viscosity $(III)$ $kg m^{-1} s^{-2}$

$(D)$ Impulse $(IV)$ $kg s^{-2}$

Choose the correct answer from the options given below:

State,for each of the following physical quantities,if it is a scalar or a vector: volume,mass,speed,acceleration,density,number of moles,velocity,angular frequency,displacement,angular velocity.

The physical quantities that have the same dimensions are:

Match List-$I$ with List-$II$.
List-$I$ List-$II$
$(a)$ Torque $(i)$ ${MLT}^{-1}$
$(b)$ Impulse $(ii)$ ${MT}^{-2}$
$(c)$ Tension $(iii)$ ${ML}^{2} {T}^{-2}$
$(d)$ Surface Tension $(iv)$ ${ML} {T}^{-2}$

Choose the most appropriate answer from the options given below:

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