BITSAT Mock Test - 6 - JEE MCQ

P₁ = P₂
o = mv₁ - MV₂
mV₁ = MV₂
k₁ + v₁ = k₂ + v₂
o + mgh =
mgh =
mgh =

=

The efficiency of a heat engine is defined as the ratio of work done to the heat supplied, i.e.,

where T₂ is temperature of sink,
and T₁ is temperature of hot reservoir.

φ_i = ∫ from 0 to d of (B₀ x / a) d * dx = (B₀ d²) / (2a)

Final Flux (φ_f) after time dt:

x changes to x + v₀ dt, so
φ_f = ∫ from 0 to d of (B₀ (x + v₀ dt) / a) d * dx
≈ (B₀ d) / a * (x + v₀ dt) (linear approximation, correct differential flux change)

EMF Calculation:

EMF = - dφ / dt

Flux (φ):

φ = (B₀ d / a) ∫ x dx from 0 to d = (B₀ d²) / (2a) at x = 0,
At x = v₀ t, φ = (B₀ d / a) ∫ from 0 to d of (x + v₀ t) dx (incorrect approach)

Correct EMF:

EMF = B₀ v₀ d (rate of change of area swept)

The focal length of a convex lens of refractive index μ_g in air is
...(i)
Where R₁ and R₂ are the radius of curvatures of its first and second surface.
When lens immersed in a liquid of refractive index μ_l then refractive index of material of lens (glass) with respect to liquid is
_{... (ii)}
∴ Focal length of lens in liquid is
...(iii)
Dividing (i) by (iii), we get

Putting f' = -0.5 m
f_air = 0.2 m
= 1.5
= ?
=
⇒
⇒


∴ Refractive index of liquid =

Force between 2 charges in a medium = F' =
∴ F' =
In the given question, total effective distance =
Therefore, force F =
=
= 1.73 × 10^-4 N

Oxymercuration-demercuration of alkenes yields a non-rearranged Markovnikov product.

According to Huckle, an aromatic compound must be cyclic planar having (4n + 2)π electrons.

Rate = k[X][Y₂]
But the rate law expression cannot be expressed in terms of a reaction intermediate.

Rate =
Thus, order of the reaction

Diastereomerism occurs when two or more stereoisomers of a compound have different configurations at one or more (but not all) of the equivalent stereocentres and are not mirror images of each other. Thus,

For the reaction: P + 2Q → R, when concentration of 'Q' is doubled, the half-life does not change, hence reaction is first-order with respect to 'Q'.
This is because for the first order reaction, rate constant is independent from initial concentration of the reactant.
When the concentration of 'P' is made four times, the rate of reaction becomes double. It means the reaction is half-order with respect to 'P'.
Hence, the rate law expression is:

Overall order = 1 + 1/2 = 3/2
Units of the rate constant = (mol L^-1)^{(1 - n)} s^-1
So, unit of rate constant is L^1/2 mol^-1/2 s^-1.

Hence, option 4 is the correct answer.

The context sentence is in active voice. A sentence is in passive form when the subject (person/place/thing or idea) receives the action.
The sentence is in simple past tense. We add 'was' in the passive form of sentence (was + written).
The doer of the action may or may not be mentioned at the end of the sentence with the preposition 'by' as it is understood that the book is written by an author only.
Option 4 has all the modifications in the sentence as per the rules of active/passive voice. Thus, it is the correct answer.

The antonym of 'fervent' is 'dispassionate'.
'Fervent' means 'passionate; sincere; emotional'.
'Dispassionate' means 'emotionless; impassive'.
Thus, option 2 is the correct answer.

Romesh is the only person who is a politician, an educationist and a magician.

Only option (4) has an 'x' instead of a '+'.

The series is abcc | bcaa | cabb | abcc.
Hence, option 3 is correct.

7, 8, 18, 57, 228, 1165, 6996
228 is the odd one out.
7 × 1 + 1 = 8
8 × 2 + 2 = 18
18 × 3 + 3 = 57
57 × 4 + 4 = 232
232 × 5 + 5 = 1165
The correct term should be 232.

f(x) + f(x + 8) = f(x + 4) + f(x + 12)
Replacing x by x + 4, we get
f(x + 4) + f(x + 12) = f(x + 8) + f(x + 16)
Subtracting one from the other, we get
f(x) = f(x + 16)
g(x) = f(x) dx
g'(x) = f(x + 16) - f(x)
g'(x) = 0
g(x) = k
g(1) = 2
∴ k = 2
∴ g(12) = 2