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Medium

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ChemistryMedium

An alkene on ozonolysis gives methanal as one of the product. Its structure is

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PHYSICSMedium

The effective resistance of a parallel connection that consists of four wires of equal length, equal area of cross-section and same material is $0.25 \ \Omega$. What will be the effective resistance if they are connected in series?

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PHYSICSMedium

Column-I gives certain physical terms associated with flow of current through a metallic conductor. Column-II gives some mathematical relations involving electrical quantities. Match Column-I and Column-II with appropriate relations. Column-I: (A) Drift Velocity, (B) Electrical Resistivity, (C) Relaxation Period, (D) Current Density. Column-II: (P) $\frac{m}{ne^2\rho}$, (Q) $nev_d$, (R) $\frac{eE}{m}\tau$, (S) $\frac{E}{J}$

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PHYSICSMedium

From a circular ring of mass 'M' and radius 'R' an arc corresponding to a 90° sector is removed. The moment of inertia of the remaining part of the ring about an axis passing through the centre of the ring and perpendicular to the plane of the ring is 'K' times 'MR^2'. Then the value of 'K' is

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Hard

Consider the change in oxidation state of Bromine corresponding to different emf values as shown in the diagram below: $\text{BrO}_4^- \xrightarrow{1.82 \text{V}} \text{BrO}_3^- \xrightarrow{1.5 \text{V}} \text{HBrO}$ and $\text{Br}^- \xleftarrow{1.0652 \text{V}} \text{Br}_2 \xleftarrow{1.595 \text{V}} \text{HBrO}$. Then the species undergoing disproportionation is

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PhysicsHard

In a guitar, two strings A and B made of same material are slightly out of tune and produce beats of frequency 6 Hz. When tension in B is slightly decreased, the beat frequency increases to 7 Hz. If the frequency of A is 530 Hz, the original frequency of B will be:

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PHYSICSHard

A point object is placed at a distance of 60 cm from a convex lens of focal length 30 cm. If a plane mirror were put perpendicular to the principal axis of the lens and at a distance of 40 cm from it, the final image would be formed at a distance of

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PHYSICSMedium

Three resistors having resistances $r_1$, $r_2$ and $r_3$ are connected as shown in the given circuit. The ratio $\frac{i_3}{i_1}$ of currents in terms of resistances used in the circuit is

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CHEMISTRYMedium

What is the IUPAC name of the organic compound formed in the following chemical reaction? Acetone $\xrightarrow[(ii) H_2O, H^+]{(i) C_2H_5MgBr, dry Ether}$ Product

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PHYSICSMedium

Match Column - I and Column - II and choose the correct match from the given choices. Column - I: (A) Root mean square speed of gas molecules, (B) Pressure exerted by ideal gas, (C) Average kinetic energy of a molecule, (D) Total internal energy of 1 mole of a diatomic gas. Column - II: (P) $\frac{1}{3}nm\bar{v}^2$, (Q) $\sqrt{\frac{3RT}{M}}$, (R) $\frac{5}{2}RT$, (S) $\frac{3}{2}k_BT$.

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PHYSICSMedium

The escape velocity from the Earth's surface is v. The escape velocity from the surface of another planet having a radius, four times that of Earth and same mass density is

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CHEMISTRYEasy

Which one of the following methods can be used to obtain highly pure metal which is liquid at room temperature?

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PHYSICSHard

In the product $\vec{F} = q(\vec{v} \times \vec{B}) = q\vec{v} \times (B\hat{i} + B\hat{j} + B_0\hat{k})$. For $q = 1$ and $\vec{v} = 2\hat{i} + 4\hat{j} + 6\hat{k}$ and $\vec{F} = 4\hat{i} - 20\hat{j} + 12\hat{k}$. What will be the complete expression for $\vec{B}$?

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CHEMISTRYMedium

The major product formed in dehydrohalogenation reaction of 2-Bromo pentane is Pent-2-ene. This product formation is based on?

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PHYSICSMedium

The ratio of the radius of gyration of a thin uniform disc about an axis passing through its centre and normal to its plane to the radius of gyration of the disc about its diameter is

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PHYSICSHard

An electromagnetic wave of wavelength '$\lambda$' is incident on a photosensitive surface of negligible work function. If 'm' mass is of photoelectron emitted from the surface has de-Broglie wavelength $\lambda_d$, then

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CHEMISTRYEasy

Which one among the following is the correct option for right relationship between $C_p$ and $C_v$ for one mole of ideal gas?

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CHEMISTRYMedium

Match List-I with List-II. List-I: (a) $[Fe(CN)_6]^{3-}$, (b) $[Fe(H_2O)_6]^{3+}$, (c) $[Fe(CN)_6]^{4-}$, (d) $[Fe(H_2O)_6]^{2+}$. List-II: (i) 5.92 BM, (ii) 0 BM, (iii) 4.90 BM, (iv) 1.73 BM. Choose the correct answer from the options given below.

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BIOLOGYMedium

With regard to insulin choose correct options. (a) C-peptide is not present in mature insulin. (b) The insulin produced by rDNA technology has C-peptide. (c) The pro-insulin has C-peptide (d) A-peptide and B-peptide of insulin are interconnected by disulphide bridges. Choose the correct answer from the options given below

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