BITSAT Mock Test - 6 - JEE MCQ

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

Magnitude of the Impulse received || = 4mcu

V₁ and V₂ are velocities after collision.
Magnitude of impulse is the same on both A and B.
For body A:
2mv₁ - 6mu = -4mcu
2mv₁ = 6mu - 4cum
V₁ = 3u - 2cu()
For body B:
mv₂ - (-mu) = 4mcu
mv₂ = 4mcu - mu
v₂ = 4cu - u() - speed of B
Coefficient of restitution,

Let the distance from R to MN be x. Then the area of the loop between MN and R is xd and the magnetic flux linked with the loop is Bxd.
As the rod moves, the emf induced in the loop is given by
|e| = (Bxd) = Bd = Bvd
where v = velocity of MN.

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.

Freundlich adsorption isotherm
= kp^1/n
Here, = Amount of gas adsorbed by adsorbent per gram
k and n = Constant
p = Pressure
Other forms are x = ^mkp1/n
= kp^-n
All equations represent Freundlich adsorption isotherm.

The given reaction H₂ + Br₂ 2HBr is a bi-molecular reaction, hence the molecularity is 2.
The order can be determined as
Order =
If concentrate of Br₂ is increased 4 times,
R₂ = k[H₂][4Br₂]^1/2
R₂ = 2k[H₂][Br₂]^{1/2
R₂ = 2R₁}
i.e., rate increases 2 times.
Hence, all the statements are correct.

From Quantum Mechanics viewpoint, the magnetic moment is dependent on both spin and orbital angular momentum contributions. The spin-only formula used is given by

And this can be modified to include the orbital angular momentum as follows.

Therefore, the value of the magnetic moment can differ because of the contribution of the total orbital motion of the electron to the magnetic moment. Thus, this is the correct answer.

The correct choice is (1). Q follows 1 as 'regard it as ... pleasure in life' and 'our pleasures should be healthy' relate to each other. P follows Q as 'an enthusiasm' in Q relates with 'passion for sports' in sentence P. R follows next as the 'this passion' in R refers to 'passion for sports' in P. S follows next as 'destroy one's health' refers to 'great harm' in R, and it is also a reason for why people could die early as mentioned in 6.

Leisure means free time and most of the people like spending it doing nothing. The idea conveyed by the sentence is that instead of idling or wasting the leisure time, one should engage in some sort of pleasurable activity.

Disgruntled' means 'disappointed; displeased; unhappy'.
The following sentence, 'She became disgruntled, however, when she learned that the university in Warsaw was closed to women' justifies that option (2) is the correct answer.

It is clear from the above table that Suresh is a politician and magician only.

The context is about Japanese companies; sentence D begins the sequence. 'They' in B refers to 'companies' in D; the word 'resources' also connects these two sentences. The idea of 'development' in sentence B is further emphasised in sentence A. Both A and C are in past tense; C follows A and becomes the additional feature of Japanese companies. Sequence DBAC 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.

Let h and r be the height and radius of cylinder.
Given that, = 3 m/s, = -4 m/s
Also, V = πr²h
On differentiating with respect to t, we get

At r = 4 m and h = 6 m
∴ = 80π cu m/s

Let A =
Now A' =
[where A' is the transpose of A calculated by interchanging the rows and columns of A]
Since A = A′, so matrix A is symmetric.

According to the question, L₁ and L₃ are not parallel.
L₂ is parallelto L₁ if k = -9
L₂ is parallel to L₃ if k = .
So the required values of k are given by (k + 9) (k + ) = 0
or 5k² + 51k + 54 = 0