Slopes of regression lines are $ -\large\frac{1}{2}$ and $ \large\frac{-2}{3}$$ \therefore b_{yx} = ...

$\lim\limits_{x\to 0^+}\large\frac{|x|}{x^2+2x}$$\Rightarrow \lim\limits_{x\to 0^+}\large\frac{x}{x^...

Given: $\hat i \times (\hat j + \hat k)+ $$\hat j \times (\hat k + \hat i)+ $$\hat k \times (\hat i ...

Toolbox:Fehling's test is a chemical test to detect reducing sugars and aldehydes in a solution. Feh...

Toolbox:Fructose is a ketone and thus should not act as a reducing agent, but due to the presence of...

<div class="clay6-step-odd"><div class="clay6-basic" id="pr10"...

According to Boyle's law, $\large\frac{V}{T}=$ constant, at any constant pressure and n..$\large\fra...

According to Boyle's law, PV = constant, at any constant temperature.This is represented in Graph-1 ...

For any ideal gas, density $\rho = \large\frac{PM}{RT}$So, for densities to be equal under similar c...

For any ideal gas, denity $\rho = \large\frac{PM}{RT}$For density to be equal at equal temperatures,...

An increase in temperature of the vessel wil result in all four conditions but only (A) Increase in ...

As we can see from the graph below, the most probable velocity increases and the fraction of mo...

For gas A, $n_A = \large\frac{2P \times V}{RT}$ and $n_B = \large\frac{P \times V}{4RT}$After oprni...

For gas A, $n_A = \large\frac{P \times 2V}{RT}$ and $n_B = \large\frac{P \times 3V}{RT}$ After oprn...

For gas A, $n_A = \large\frac{P \times V}{nRT}$ and $n_B = \large\frac{P \times V}{(n+1)RT}$After o...

For Gas-A, $n_A = \large\frac{PV_A}{RT}$ and for Gas-B $n_B = \large\frac{PV_A}{RT}$Given that its a...

The relationship between the temperature and volume of a gas, which is known as Charles' law, provi...

In summer, the temperature rises, increasing the pressue inside the bottle, since the bottle has a c...

For an ideal gas, PV = nRT, lets plot the above graphs:https://clay6.com/mpaimg/2_Picture2.pngWe can...

$v_{rms} = \large\sqrt \frac{3RT}{M} $$ = \large\sqrt\frac{3P}{\rho}$ where $\rho$ is the density.He...

Total mass of molecules striking per second = $mn$.Momentum with which the molecules strike = $mnu$...

When there is leakage, the gas doesnt change the temperature of the surroundings. Therefore the rms ...

At boiling temperature, the heat supplied is spent as latent heat of vaporization.The temperature do...

Since $\large\frac{R}{C_v} $$ = 0.29$, $\large\frac{R}{fR/2} $$ = 0.29 \rightarrow f = 7$So, the gas...

Toolbox: $ \int \limits_a^bf(x)dx=F(b)-F(a)$ $ f(x)=|x+a|=f(x)= \left\{ \begin{array}{1 1} x+a...

Toolbox:A random variable $X$ following binomial distribution with parameter n and p its probability...

Toolbox: $P \large(\frac{B}{A}) =$$ \large (\frac{P(A\;\cap\; B)}{P(A)})$ According to Bayes T...

Toolbox:The angle between two planes is the angle between the normals to the two planes. $ \theta=\...

Toolbox:Area of parallelogram =$\large\frac{1}{2}|$$\overrightarrow a\times\overrightarrow b|$ where...

Given $e^{x+y} = xy$Taking log on both sides, we get: $ (x+y) \log_e e = \log_e x + \log_e y$$\Right...

Toolbox:Let $ A = [ a_{ij} ] $ be a square matrix x. Let $ A_{ij}$ be the cofactor of $ a_{ij}$. The...

If we take the first 18 coil flips, the total number of heads will either be even or odd. If it's ev...

( 3 ) is the correct answer.