SRMJEE Mock Test - 3 (Medical) - JEE MCQ

Wires A and B carry current 5 A each coming out of the plane of the page, as shown in the figure. The magnitude of magnetic field at point P due to wire A is equal to that due to wire B, i.e.

The direction of field B_A is perpendicular to PA and that of field B_B is perpendicular to PB. Therefore, the angle between the two fields is θ = 60°. The magnitude of the resultant field at P is given by

According to principle of calorimetry,

Now the system contains (200 + 50)g of water at 40^∘C,
so when further 80g of ice is added
80L_F​ + 80 × 1 × (10 − 0)
= 250 × 1 × (40 − 10) + W(40 − 10)
80L_F ​ = 670 + 3W .....(ii)
Solving Eqs. (i) and (ii),
L_F = 90cal/g and W = 50/3 ​ g

Modulation index defines the modulated signal's ratio of maximum to minimum voltage:

Modulation index = V_m / V_c = 5 / 25 = 0.2

Carrier Frequency f_c = 1.2 × 10³ kHz = 1200 kHz

Lower side-band frequency, f₁ = 1200 - 20 = 1180 kHz

Upper side-band frequency, f₂ = 1200 + 20 = 1220 kHz

Angular moment is the measure of amount of rotational inertia an object has.

It is a vector quantity and the unit for Angular momentum is kg m² s⁻¹kg.

Angular Impulse is the change in Angular momentum. It is also a vector quantity with the same unit as that of angular momentum

Just after the string becomes taut due to the impulse of the tension, that is, ∫Tdt=J⏐↓ say, the linear momentum changes from 0.

The angular impulse of the tension about C = JR, which changes the angular momentum from 0 to I_Cω.

Where,

This gives 

The velocity of P is 

Where v_PC = ωR and v_C= v

This gives v_P = ωR + v

The substituting w and v, we have 

Since the string is inextensible, v_P = v₀

This gives 

Hence 

Number of nuclei left undecayed after time t is given by,

Where n is number of half lives in time t.

According to question, N = N₀/e

Substituting in (i), we get

Taking log on both sides, we get

Activity of the sample reduces to half at its half life.

The wavelength of X-rays is of the order of 1 Å to 100 Å.
The wavelength of radio waves is of the order of 10⁹ Å to 10¹⁴ Å.
The wavelength of microwaves is of the order of 10⁷ Å to 10⁹ Å.

Thus, λ_X < λ_M < λ_R.
The waves with shorter wavelengths will have more energy.

Hence,
E_X > E_M > E_R.

To determine the correct pair of orbitals involved in π-bonding between a metal and carbon monoxide (CO) in metal carbonyl complexes, we can follow these steps:

Step 1: Understand the Bonding in Metal-Carbonyl Complexes
In metal-carbonyl complexes, the bonding involves both σ (sigma) and π (pi) interactions. The CO molecule acts as a ligand and forms bonds with the metal center.

Step 2: Identify the Orbitals of the Metal
The metal typically has d-orbitals that can participate in bonding. In transition metals, these d-orbitals are crucial for forming bonds with ligands.

Step 3: Identify the Orbitals of Carbon Monoxide
CO has a triple bond, consisting of one σ bond and two π bonds. The π bonds are formed by the overlap of the p-orbitals of carbon and oxygen. The π* (pi star) orbital is the anti-bonding orbital associated with the π bonds.

Step 4: Determine the Type of Bonding
In metal-carbonyl complexes, the bonding can be described as:
- A σ bond is formed between the filled d-orbital of the metal and the σ orbital of CO.
- A π bond is formed through back-donation from the filled d-orbital of the metal to the π* orbital of CO.

Step 5: Identify the Specific Orbitals Involved
For π-bonding specifically:
- The d-orbital involved is typically the dxy orbital of the metal.
- The π* orbital of CO is involved in this π-bonding interaction.

Conclusion
Thus, the correct pair of orbitals involved in π-bonding between the metal and CO in metal carbonyl complexes is:
- dxy (metal) and π* (CO).

If atom or group of higher priority are on opposite direction at the double bond of each carbon atom then the configuration is known as E and if they are in same direction then the configuration is known as Z configuration.

Lexan is a polymer of diethyl carbonate and bisphenol-A.
Lexan is a trademarked term for polycarbonate sheeting, one of the most widely used plastics in the world.
Lexan is not glass, but a polycarbonate resin thermoplastic. It is strong, transparent, temperature-resistant and easily formed, so is commonly used in place of glass.

At the junction of salt solution and FeSO₄ solution with conc. H₂SO₄ a brown ring is obtained.

Antibiotics which kills or inhibit a wide range of gram-positive and gram-negative bacteria are said to be broad spectrum antibiotics.
So Broad-spectrum antibiotics act on different antigens.

Bulky bases with smaller alkyl halides (1^∘) give nucleophilic substitution (S_N2) reactions. If an alkyl halide is 2^∘,3^∘ elimination occurs. When sod. tert−-butoxide reacts with methyl chloride, methyl t−t-butyl ether is formed.

it is 2,3 dimethyl pentanoyl chloride.

We are given the reaction:

A(g) → B(g)

The time taken for the partial pressure of A to decrease:

• From 1.0 atm to 0.5 atm = 10 seconds
• From 0.5 atm to 0.25 atm = 10 seconds

Since the time required for the concentration to reduce to half remains the same (10 seconds), this indicates a first-order reaction because the half-life (t₁/₂) remains constant in a first-order reaction.

Conclusion:

The reaction follows first-order kinetics.

Answer: Option D (Order = 1).

• Primary structure of protein is formed by peptide linkages between two amino acids.
• Secondary structure, i.e. α-Helix and β-Sheath, of protein is formed by hydrogen bonds.
• Tertiary structure of protein is formed by sulphide linkages between different amino acids Quaternary structure is formed when multiple chains of polypeptides held together by hydrogen bonds.

Growth is defined as a permanent or irreversible increase in dry weight, size, mass or volume of a cell organ or organism. Plant growth is unique because plants retain the capacity for unlimited growth throughout their life. This ability of the plants is due to the presence of meristems at curtain locations in their body. The cells of such meristems have the capacity to divide and self-perpetuate. The product, however, soon loses the capacity to divide and such cells make up the plant body. This form of growth wherein new als are always being added to the plant body by the activity of the meristem is called the open form of growth.

An embryo shows geometrical growth initially but later it passes into arithematic phase.

Prehypertension is defined as a systolic pressure from 120–139 millimeters of mercury (mm Hg) or a diastolic pressure from 80–89 mm Hg.

The energy of light captured by pigment molecules called chlorophylls, in chloroplasts is used to generate high- energy electrons with great reducing potential. These electrons are used to produce NADPH₂ as well as ATP in a series of reactions called the light reactions because they require light.

A collection of methods that allows the correction of a gene that has been diagnosed in a child/embryo is called gene therapy. It consists of various processes. In this, the defective genes are corrected and replaced with normal, healthy genes.

Biopiracy is the use of biological resources without proper authorization from country or people concerned without compensate payment.

Statements (i) and (iii) are correct.
Medical Termination of Pregnancy (MTP) during first trimester is generally safe.
Intrauterine device like copper-T are effective contraceptives.

Independent assortment ofgenes takes place only when they are located on separate non-homologus chromosomes. Where two or more than two genes are located on same chromosome, independent assortment will not be possible.

Let the age of Guri and Shuri five years ago be x and y, respectively.
According to the question,
x + y = 36
x = 36 - y ... (i)
Also,x - y = 4
Putting the value of x as given in (i) we get,
36 - y - y = 4
36 - 2y = 4
-2y = 4 - 36
-2y = -32
2y = 32
y = 32 ÷ 2
y = 16
Therefore, the age of Shuri, 5 years ago = 16 years
Putting y = 16 in the equation x - y = 4,
x - 16 = 4
x = 4 + 16
x = 20
Hence, age of Guri, 5 years ago = 20 years
Present age of Guri = 20 + 5 = 25 years
Present age of Shuri = 16 + 5 = 21 years
Age of Guri and Shuri, 7 years from now, will be 32 years and 28 years, respectively.
Required ratio = 32 : 28
= 8 : 7

Let the number be x.

As per the given condition:
If the number is divided by 3, it is reduced by 34.

That means,
x - x/3 = 34

Simplifying:
2x/3 = 34

Multiplying both sides by 3/2:
x = 34 × 3/2

x = 51

Thus, the number is 51.

Hence, option A is the correct answer.

The minister suggested the king to make a declaration that whoever has he dog who used to live at the royal elephant's shed will be penalized. 
Hence, it is the correct option.

'Bring about' is a phrasal verb which means 'to make something happen, especially to cause changes in a situation.'
For example: It took hours of negotiations to bring about a reconciliation between the two sides.
Hence, it is the correct option.