SRMJEEE Subject Wise & Full Length SRMJEE Mock Test - 6 (Medical) Free

Work done by the string in increasing its extension from I1 to I2 is the difference in potential energy stored in it.

We know that the potential energy stored is U = 1/2 Kx².

So, at extension I1,
UI₁ = 1/2 K I₁².

At extension I₂,
UI₂ = 1/2 K I₂².

Work done, W = ΔU = UI₂ - UI₁ = 1/2 K (I₂² - I₁²).

N = mg − xAg = mg − Aρlg(vt), where, v� is the constant rate at which water level increases and A is area of cross section of the cube.
As time increases, the normal reaction decreases linearly until it becomes zero when the cube starts to float after that it will remain zero.

v = 10⁴ m/s
m = 10⁻²⁶ kg
n = 10²² m⁻³
A = 1 m²

Change in momentum, Δp = 2mnv
Δp = 2 × 10²² × 10⁻²⁶ × 10⁴ = 2 N·s

Pressure, P = F/A = 2 N/m²

Given, ten plates where alternate plates are connected. It can be as shown. i.e., it forms nine capacitors which are in parallel each of capacity C.

Or as n plates are forming nine capacitors in parallel we can write equivalent capacity as C_eq = (n−1) C = 9C.

Sweet makers do not clean the bottom of the cauldron because they need the cauldron to absorb more and more heat and be heated quickly so, they can make sweets in less time. So, black and rough surface absorbs more heat than bright surfaces.

Overall cell reaction:



0.15 = 0.059 × pH
pH = 2.54

During denaturation, the protein molecule uncoils and forms a more random conformation and precipitates from the solution and as a consequence, it loses its biological activity.
The egg protein undergoes denaturation when subjected to heat.
Hence, both the statements are true but Reason is not an explanation of Assertion.

Sweetness value in comparison to cane sugar of artificial sweeteners are as follows:-

• Aspartame- 100
• Saccharin- 550
• Sucralose- 600
• Alitame- 2000

Since value of alitame is highest therefore it is sweetest

Ptyalin is present in human saliva. The optimum pH for Ptyalin activity is 5.6 − 6.9. But normally stomach pH is 1.5 − 3.5. So activity of Ptyalin decreases in stomach.

The formula for the elevation in boiling point is:
ΔT₆ = K_b × m

where,
K_b = Molal elevation constant
m = Molality

Molality can be written as:
m = (w × 1000) / (GMM × W)

where,

w = Weight of the solute
W = Weight of the solvent
GMM = Gram molecular mass of the solute
When m = 1, which means 1 mole of solute in 1 kg of solvent, the equation simplifies to:
ΔT₆ = K_b

where,
K_b = (R × T_b²) / (1000 × L_v)

T_b = Boiling point of the solvent
L_v = Latent heat of vaporization

In alkali metals, the reactivity increases down the group due to decrease in IE₁ . But in case of halogens, the reactivity decrease down the group due to decrease in their electrode potentials.

FCC unit cell is an example of the closest packed structures.

Side view of the arrangement of atoms,

Unit cell view of the arrangement of the same atoms,

Here, the first and fourth layers are identical.

It is clear from the above figure that the closest packed layers, which are hexagonally packed 2-D arrangement of spheres are arranged perpendicular to the body diagonal of the FCC unit cell.

From the given words, a greenhouse is a place where plants are kept to provide them the proper moisture and temperature.
Archives is a collection of the historical documents related to an organisation, place or people. It does not provide any care to the documents as do the other options like hive for bee, hen house for chicken and incubator for infant.

'Cordon off something' means to close an area to people and vehicles.
In other words, police isolate the area by putting a line of people or object, to prevent people from getting into, around or in front of it.
Hence, this is the correct option.

"To smell a rat" means to suspect that something is wrong or to sense that someone has caused something wrong.
So, 'to suspect a trick or deceit' fits well as the meaning of the given idiom/phrase.
Thus, option A is the correct answer.

1 =
1 =
x(x + 3) = 6 (x + 3) - 8
⇒ x² + 3x = 6x + 18 - 8
⇒ x² - 3x - 10 = 0
x² - 5x + 2x - 10 = 0
x(x - 5) + 2(x - 5) = 0
(x + 2)(x - 5) = 0
x = -2 or x = 5
Thus, required sum = 3
Hence, option 2 is correct.

Photoelectricity ∝ Intensity of light.
The intensity of light increases the number of rays striking the metal per time and thus increases the photoelectric effect.

Let the mass of all the liquids be m.
Let s₁, s₂, s₃ be the respective specific heats of the liquids A, B, and C.
The initial temperatures of A, B, and C are 12°C, 19°C, and 28°C, respectively.

Case 1: Mixing A and B
When A and B are mixed, the temperature of the mixture is 16°C.

We know that heat gained by A = heat lost by B,

m s₁ (16 - 12) = m s₂ (19 - 16)

4 s₁ = 3 s₂ ...(i)

Case 2: Mixing B and C
When B and C are mixed, the temperature of the mixture is 23°C.

m s₂ (23 - 19) = m s₃ (28 - 23)

4 s₂ = 5 s₃ ...(ii)

From (i) and (ii):
s₁ = (3/4) s₂ = (15/16) s₃

Case 3: Mixing A and C
When A and C are mixed, suppose the temperature of the mixture is t.

m s₁ (t - 12) = m s₃ (28 - t)

Substituting s₁ = (15/16) s₃:

(15/16) s₃ (t - 12) = s₃ (28 - t)

Canceling s₃ from both sides:

(15/16) (t - 12) = (28 - t)

Multiplying by 16:

15t - 180 = 448 - 16t

31t = 628

t = 628 / 31 = 20.3°C

Thus, the final temperature when A and C are mixed is 20.3°C.

Here, p₁ = 1 atm, T₁ = 27°C.

T₁ = 27 + 273 = 300 K

p₂ = 8 atm.

As the changes are adiabatic,

T = 600 K = (600−273) °C = 327 °C

The work done by the force is F cos 37°.

Where F cos 37° = f = μN,

In this case, N = mg − F sin 37°,
So that, F = μ mg / (cos 37° + μ sin 37°).

Here, μ = 0.40 and m = 20 kg.

Thus, F = 75.4 N.

Hence, W = (75.4 cos 37°) × 8.0 = 482 J.

-NO₂ is ambidentate ligand and can form a coordinate bond with the central metal atom through the negatively charged O atom (Nitrito) or the lone pair on the N atom.

Hence, the complex [Co(NH₃)₅(NO₂)]Cl₂ can exist as Nitropentaaminecobalt (III) chloride or as Nitritopentaaminecobalt (III) chloride.

Teflon is a polymer of tetrafluorothylene. It is used for coating articles and cookware to make them non-sticky.

Nylon−66 is a polymer of adipic acid and hexamethylenediamine. Glyptal is a polymer of ethylene glycol and phthalic acid. Buna−S is a polymer of butadiene and styrene.