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PHYSICSMedium

A bullet from a gun is fired on a rectangular wooden block with velocity $u$. When bullet travels $24$ cm through the block along its length horizontally, velocity of bullet becomes $\frac{u}{3}$. Then it further penetrates into the block in the same direction before coming to rest exactly at the other end of the block. The total length of the block is

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BIOLOGYReproductive HealthMedium

IUDs: I. Increase phagocytosis of sperms II. Release Cu ions that suppress sperm motility and fertilising capacity of sperms III. Make the uterus unsuitable for implantation IV. Make the cervix hostile to sperms V. Prevent semen from entering the female reproductive tract. Which of the above statements are true?

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BIOLOGYCell : The Unit of Life Medium

Match List-I with List-II. List-I A. F1 Particles B. Histones C. Axoneme D. Cisternae List-II I. Chromosomes II. Cilia III. Golgi apparatus IV. Mitochondria

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PHYSICSMOVING CHARGES AND MAGNETISMMedium

Two similar coils of radius $R$ are lying concentrically with their planes at right angles to each other. The currents flowing in them are $I$ and $2I$, respectively. The resultant magnetic field induction at the centre will be:

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BIOLOGYCell Cycle and Cell Division Medium

Match List-I with List-II: List-I (Events) A. Chromosomes start pairing together to form synaptonemal complex B. Chromosomes visible under light microscope and compaction continues C. Four chromatids of bivalent chromosomes become distinct and recombinant nodules appear D. Dissolution of synaptonemal complex List-II (Prophase-I) I. Pachytene II. Zygotene III. Diplotene IV. Leptotene

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ChemistryMedium

The rate constant for a first order reaction is $4.606 \times 10^{-3} s^{-1}$. The time required to reduce 2.0 g of the reactant to 0.2 g is :

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PHYSICSHard

In the figure shown here, what is the equivalent focal length of the combination of lenses (Assume that all layers are thin)? $n_1 = 1.5$, $n_2 = 1.6$, $R_1 = R_2 = 20$ cm

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PHYSICSMOVING CHARGES AND MAGNETISMMedium

A long straight wire of length $2 \text{ m}$ and mass $250 \text{ g}$ is suspended horizontally in a uniform horizontal magnetic field of $0.7 \text{ T}$. The amount of current flowing through the wire will be: ($g=9.8 \text{ m s}^{-2}$)

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BIOLOGYPrinciples of Inheritance and VariationEasy

Match Column-I with Column-II: Column-I (a) Smooth muscle (b) Tropomyosin (c) Red muscle (d) Skull Column-II (i) Myoglobin (ii) Thin filament (iii) Sutures (iv) Involuntary

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BIOLOGYReproductive HealthEasy

Diaphragms, cervical caps and vaults are:

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BIOLOGYCell Cycle and Cell Division Medium

Given below are two statements: Statement I: During G0 phase of cell cycle, the cell is metabolically inactive. Statement II: The centrosome undergoes duplication during S phase of interphase. In the light of the above statements, choose the most appropriate answer from the options given below:

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PHYSICSMOVING CHARGES AND MAGNETISMEasy

A closely packed coil having 1000 turns has an average radius of 62.8 cm. If the current carried by the wire of the coil is 1 A, the value of the magnetic field produced at the centre of the coil will be nearly: (permeability of free space = $4\pi \times 10^{-7}$ H/m)

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BIOLOGYPhotosynthesis in Higher Plants Medium

Given below are two statements: Statement I: RuBisCO is the most abundant enzyme in the world. Statement II: Photorespiration does not occur in C4 plants. In the light of the above statements, choose the most appropriate answer from the options given below:

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BIOLOGYPrinciples of Inheritance and VariationMedium

In a cross between a male and female, both heterozygous for sickle cell anaemia gene, what percentage of the progeny will be diseased?

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BIOLOGYPrinciples of Inheritance and VariationMedium

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): Mendel's law of Independent assortment does not hold good for the genes that are located closely on the same chromosome. Reason (R): Closely located genes assort independently. In the light of the above statements, choose the correct answer from the options given below:

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PHYSICSNUCLEIEasy

The number of beta particles emitted by a radioactive substance is twice the number of alpha particles emitted by it. The resulting daughter is an:

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BIOLOGYCell : The Unit of Life Medium

Given below are two statements: Statement I: Mitochondria and chloroplasts are both double membrane bound organelles. Statement II: Inner membrane of mitochondria is relatively less permeable, as compared to chloroplast. In the light of the above statements, choose the most appropriate answer from the options given below:

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BIOLOGYReproductive HealthMedium

Emergency contraception involves administering any of the following within 72 hours of unprotected sexual activity except:

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BIOLOGYChemical Coordination and IntegrationMedium

Select the correct matching of a hormone, its source and its function:

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PHYSICSRotational motionMedium

A circular platform is mounted on a frictionless vertical axle. Its radius $R=2\text{ m}$ and moment of inertia about the axle is $200\text{ kg m}^2$. It is initially at rest. A $50\text{ kg}$ man stands on the edge of the platform and begins to walk along the edge at the speed of $1\text{ ms}^{-1}$ relative to the ground. Time taken by the man to complete one revolution is:

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