An increase in equivalent conductance of a strong electrolyte with dilution is mainly due to

Assertion $(A)$: $NaCl$ is less soluble in heavy water than in ordinary water.
Reason $(R)$: Dielectric constant of ordinary water is more than that of heavy water.
The correct answer is

An auditorium has a volume of $10^5 \ m^3$ and a total absorption area of $2 \times 10^4 \ m^2$. Its average absorption coefficient is $0.2$. The reverberation time of the auditorium in seconds is:

$A$ plank with a box on it at one end is gradually raised about the other end. As the angle of inclination with the horizontal reaches $30^o$,the box starts to slip and slides $4.0\, m$ down the plank in $4.0\, s$. The coefficients of static and kinetic friction between the box and the plank will be,respectively:

Which of the following $statement(s)$ is/are correct?
$(i)$ All living organisms have the ability to respond to environmental stimuli,which could be physical,chemical,or biological.
$(ii)$ Plants respond to external factors like light,water,temperature,other organisms,pollutants,etc.
$(iii)$ Photoperiod affects the process of reproduction.
$(iv)$ Human being is the only organism who has self-consciousness.

$A$ determinant is chosen at random from the set of all determinants of order $2$ with elements $0$ or $1$ only. The probability that the determinant chosen is non-zero is