MET Mock Test - 6 - JEE MCQ

f = 5 × 108 Hz
EM wave is travelling towards +.

The average power consumed/cycle in an ideal capacitor is 0.
The average power consumed in an ideal capacitor is given as based on the instantaneous power which is supplied to the capacitor:
p_c = iv= (i_m cos ωt)(v_m sin ωt)
p_c = i_mv_m (cos ωt sin ωt)
pc=(i_mv_m/2)sin2ωt
We know that sin ωt = 0
Therefore, average power = 0

The linear mass density,

Current in AB = (V_AB/R_AB) = (1/2.5) = 0.4 A
I₁ = I₂
I₁ + I₂ = 0.4
I, = 0.4/2 = 0.2 A

On addition of dimethylglyoxime to alkaline solution of Ni⁺², a bright red ppt. is obtained.
Ni⁺² + 2dmg →  [Ni(dmg)₂]⁺² (Bright red ppt.)

Column chromatography:
The principle of column chromatography is based on differential adsorption of substance by the adsorbent. The rate at which the components of a mixture are separated depends on the activity of the adsorbent and polarity of the solvent. If the activity of the adsorbent is very high and polarity of the solvent is very low, then the separation is very slow but gives a good separation.
R_f is defined as the ratio of the distance travelled by the centre of a spot to the distance travelled by the solvent.
Since II is adsorbed less readily, it has a greater affinity for the solvent and will get eluted out first.

Eutrophication is the process in which nutrient enriched water bodies support a dense plant population, which kills animal life by depriving it of oxygen and results in subsequent loss of biodiversity.

The strongest oxidising agent has the highest reduction potential value.

The most stable trihalide is NF₃.
Order of stability: NF₃ > NCl₃ > NBr₃ > NI₃
NCl₃ is explosive is nature.
NBr₃ and NI₃ are known only as ammoniates. The stability of trihalides decreases down the group due to weakening of N-X bond and inability of N to accommodate large sized halogen atoms (Cl, Br, I) around it.

Among methanol, phenol and p-ethoxyphenol, C-OH bond length is least in phenol due to resonance and highest in methanol due to lack of resonance, whereas it will have some intermediate value in p-ethoxyphenol.
∴ The increasing order of C-OH bond length is:
Phenol < p-ethoxyphenol < methanol

PCl₅(g) ⇋ PCl₃(g) + Cl₂(g)

α = deree of dissociation
Total moles = 5(1 - α) + 5α + α = 5(1 + α)
2 moles of N₂ are present, so total moles at equilibrium = 5(1 + α) + 2 ...(1)
By gas equation,
PV = nRT
P = 2.46 atm; V = 200 L
R = 0.082 L atm K^-1; T = 600 K

So, n = 10 moles
From equation (1),
5(1 + α) + 2 = 10

Degree of dissociation = α = 3/5 = 0.60

= 1107 × 10^-3

Mass of the organic compound = 0.2 g
Volume of N₂ gas evolved at STP = 22.4 mL
Mass of N₂ gas evolved  
Percentage of nitrogen in the compound 

= 
= 
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y = e^x and y = sin x
We can solve this question by graphing.



From the graph and the tables, it is clear that for x > 0, there is no solution for y = e^x and y = sin x.

ax² - 6xy + 9y² + 3x - 9y - 4 = 0
This is a homogeneous second degree equation.
It represents a pair of perpendicular lines if
a + b = 0, where a is coefficient of x² and b is coefficient of y²
Here, b = 9
a = a
⇒ a + 9 = 0
Or, a = -9

Sum of the roots = 3/2
Sum of product (two at a time) of roots = 6/2 = 3
Required Answer = (3/2)² - 2 x 3
= -15/4
(Note : Answer is negative, It means there must be 2 roots which are imaginary. This is because the sum of square of real number can never be negative.
Imaginary roots are always in pair. )
Correct answer is Option (a)

Shortest distance
= 

The error lies in the third part:
In this sentence, we required change 'personal' into 'personnel'. Whereas, Personnel mean persons of a department which is the appropriate phrase for this sentence.
Hence, the complete sentence is 'The long-distance train which met with an accident was carrying some army personnel'.

Given letters are R, T, A, N, U, E.
We have to arrange the letters so that it becomes a meaningful word.
The sequence of the letters is 4, 3, 2, 5, 1, 6.
Thus, the word becomes NATURE.
Therefore, the correct answer is 432516.

The word given in option D is incorrect. The correct spelling is controversial. It is an adjective that means something that causes public discussions. It is a topic that causes controversy and people argue about it. Different people have different opinions about things.

In this question, the two terms of the given pair are related to each other in the following way;
The second number is obtained by adding 11 to the thrice of the first number.
The pattern is shown below,
9 : 9 × 3 + 1 = 9 : 28
Similarly,
56 : 56 × 3 + 1 = 56 :169
Hence, the correct answer is 169.

Here, we will find the correct code for the word "SUIT" by finding the code for each letter individually through rows and columns.

In the first option, 31 is the code for K, which does not occur in SUIT.

In the third option, 85 is the code for F, which does not occur in SUIT.

In the fourth option, 56 and 88 are the codes for N and O respectively, which do not occur in SUIT.

In the second option,

99− Row-9 and Column-9 - S
41− Row-4 and Column-1 - U
30− Row-3 and Column-0- I
86− Row-8 and Column-6 - T

Matrix-I

Matrix-II

Therefore, the correct code for SUIT is 99, 41, 30, 86.

Here, the cut made near the lower-left corner will appear only once in the opened paper but the other cut will appear twice. Thus, there will be three cuts when the folded paper will be opened. It has been shown below-