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PHYSICSMedium

A convex lens 'A' of focal length 20 cm and a concave lens 'B' of focal length 5 cm are kept along the same axis with a distance 'd' between them. If a parallel beam of light falling on 'A' leaves 'B' as a parallel beam, then the distance 'd' in cm will be

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CHEMISTRYEasy

Among the following alkaline earth metal halides, one which is covalent and soluble in organic solvents is :

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BIOLOGYEasy

The centriole undergoes duplication during:

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Medium

In which case is number of molecules of water maximum?

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Medium

Which of the following pairs is wrongly matched?

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Easy

Pollen grains can be stored for several years in liquid nitrogen having a temperature of

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PhysicsEasy

In a certain region of space with volume $0.2 \text{ m}^3$, the electric potential is found to be $5 \text{ V}$ throughout. The magnitude of electric field in this region is :

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ChemistryMedium

Match the following and identify the correct option. (a) $CO(g) + H_2(g)$ (i) $Mg(HCO_3)_2 + Ca(HCO_3)_2$ (b) Temporary hardness of water (ii) An electron deficient hydride (c) $B_2H_6$ (iii) Synthesis gas (d) $H_2O_2$ (iv) Non-planar structure

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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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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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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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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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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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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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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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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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