BITSAT Mock Test - 8 - JEE MCQ

The variation of acceleration due to gravity with latitude is given by,

In an adiabatic process.
= constant
or
or ...(i)
Volume of gas =
i.e.,
∴ = 32
Thus, from Eq. (i), we have
= 2⁷ = 128

By definition,

Velocity of a particle will be maximum when its kinetic energy is maximum and corresponding to this, potential energy will be minimum.
J

For minimum value,


Hence, minimum potential energy of the particle is
J


Hence, maximum velocity of the particle
m/s

Let a and α be the linear and angular accelerations of the sphere respectively.
For translational motion,
F + f = Ma ...(1)
The magnitude of the net torque acting on the sphere = FR - fR.
Hence, for rotational motion the equation is
FR - fR = Iα = (∵ a = αR)
For a hollow sphere, I = MR². Hence

FR - fR = MR² × MRa
F - f = Ma ...(2)
From Eqs. (1) and (2) we get f = .
Hence the correct choice is (4).

Loss in energy when two capacitors are connected in parallel is

Let P be the position of the mark. Q is the position of its image.
Since the incident ray PA lies in a medium of refractive index μ₂, and is refracted into a medium of refractive index μ₁, our formula becomes


where u = -2 R = -10 cm,
R = -5 cm, μ₂ = 1.5 and μ₁ = 1
Putting these values in the above formula, we have

which gives v = -20 cm
∴ Distance of image Q from O = 20 - 5 = 15 cm

Secondary amines, on reaction with nitrous acid at low temperature, give an oily nitrosamine.

E_n =
Or, = n²
n² = = 4 = 2²
n² = 2²
Since, n has an integral value, this can be a possible excited state in a hydrogen atom.

Solutions of alkali metals in liquid ammonia are blue coloured due to ammoniated electrons.

These ammoniated electrons absorb red colour from the visible light and so the transmitted light is blue.
Hence, option (4) is correct.
Option (1) is incorrect because the reducing power of the alkali metals increases from sodium to cesium. However, Li has the highest reducing power because of its highest heat of hydration.
Option (2) is incorrect because Li⁺, being highly hydrated, has the least ion mobility and the least value of ionic velocity.
Option (3) is incorrect because the metal ions are extensively hydrated in their aqueous solutions and the trend of the hydrated ionic radius is as follows.
Li⁺(aq) > Na⁺(aq) > K⁺(aq) > Rb⁺(aq) > Cs⁺(aq)
[Note: In solid ionic crystals, the trend of the radii of metal ions is the same as that for the atomic radii, which is Li⁺ < Na⁺ < K⁺ < Rb⁺ < Cs⁺]

1. Not true. The author has talked about both greed and self-pity; however, has not mentioned whether these have any limits or not.
2. True. This captures the essence of the paragraph. The ideas of greed and need are within us and these are misleading.
3. Not true. This is not meant by the paragraph. God, though, wants us to be free from greed and self-pity.
4. Not true. Nowhere in the paragraph has attachment or detachment to material things been talked of, or the outcomes thereof (rich or poor).

The series is aabab | aabab | aabab.
Hence, option 4 is correct.

According to the passage, the meaning of the sentence, war is the negation of truth is that wars always spread and give rise to falsehood. Therefore, (4) is correct.

According to the author, hatred and aversions are unwholesome as they create problems in the visibility of the truth. Therefore, (4) is correct.

Moot' means open for debate or discussion and 'controversial' means disputed or debatable. Therefore, option (4) is correct.

* M₁ * M₂ * M₃ * M₄ * M₅ *
Five men can be seated in 5! ways.
The women can occupy any of the places marked *.
Thus, the women can be seated in ⁶P₄ = 360 ways.
Total number of ways = 5! × 360 = 43200

(32)(32)^1/6(32)^1/36 … up to can be written as

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.

passes through (3, 0) and (3, 2)

and