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JEE Main & Advanced NSEP PYQs with solutions

Chapter-wise NSEP previous year questions for JEE Main & Advanced. Open any question for options, correct answer and solution.

451 questions30 chapters
1

An ac source (sinusoidal source with frequency 50 Hz ) is connected in series with a rectifying diode, a 100 resistor, a 1000 ~F capacitor and a milliammeter. After some time the m

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2

The fundamental frequency of the output of a bridge rectifier driven by ac mains is

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3

Which one of the following devices does not respond to the intensity of light incident on it?

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4

The half-life period of a radioactive element E₁ is equal to the mean lifetime of another radioactive element E₂ . Initially both the elements have the same number of atoms. Theref

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5

The fraction of the original number of nuclei of a radioactive atom having a mean life of 10 days, that decays during the 5^ th day is

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6

Natural Uranium is a mixture of ₉₂²³⁸ U and ₉₂²³⁵ U with a relative mass abundance of 140: 1 . The ratio of radioactivity contributed by the two isotopes of natural uranium, if the

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7

A resistor R is connected to a parallel combination of two identical batteries each with emf E and an internal resistance r . The potential drop across the resistance R is

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8

Paragraph: A nichrome wire A B, 100 ~cm long and of uniform cross section is mounted on a meter scale, the ₁ and B coinciding with 0 cm and 100 cm marks respectively. The wire has

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9

Two cells each of emf E and internal resistances r₁ and r₂ respectively are connected in series with an external resistance R . The potential difference between the terminals of th

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10

Two wires made of the same material, one thick and the other thin, are connected to form a composite wire. The composite wire is subjected to some tension. A wave travelling along

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11

Two identical loudspeakers, placed close to each other inside a room, are supplied with the same sinusoidal voltage. One can imagine a pattern around the loudspeakers with areas of

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12

The frequency of the sound produced by a siren increases from 400 Hz to 1200 Hz while its amplitude remains the same. Therefore, the ratio of the intensity of the 1200 Hz wave to t

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13

A quantity is defined as =e^2 / 4 ₀ c , where e is electric charge, =h / 2 is the reduced Planck's constant and c is the speed of light. The dimensions of are

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14

A student performs an experiment with a simple pendulum and records the time for 20 oscillations. If he would have recorded time for 100 oscillations, the error in the measurement

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15

In a spectrometer the smallest main scale division is 1 3 of a degree. The total number of divisions on the vernier scale attached to the main scale is 60 which coincide with the 5

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16

At a certain height h above the surface of the earth the change in the value of acceleration due to gravity (g) is the same as that at a depth x below the surface. Assuming h and x

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17

If Newton's inverse square law of gravitation had some dependence on radial distance other than r⁻² , which one of Kepler's three laws of planetary motion would rNone of the above

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18

Let R be the radius of the earth. In general, the loss of gravitational potential energy of a body of mass m falling from a height h to the earth surface is

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19

Two particles of masses m₁ and m₂ carry identical charges. Starting from rest they are accelerated through the same potential difference. Then they enter into a region of uniform m

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20

The breakdown field for air is about 2 10^6 volt / m . Therefore, the maximum charge that can be placed on a sphere of diameter 10 cm is

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21

A uniform spherical charge distribution of radius R produces electric fields E ₁ and E ₂ at two points at distances r₁ and r₂ respectively from the centre of the distribution. Out

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22

A slit of width a is illuminated by parallel monochromatic light of wavelength . The value of a at which the first minimum of the diffraction pattern will form at =30^ is

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23

Initially interference is observed with the entire experimental set up inside a chamber filled with air. Now the chamber is evacuated. With the same source of light used, a careful

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24

The Hubble telescope in orbit above the earth has a 2.4 m circular aperture. The telescope has equipment for detecting ultraviolet light. The minimum angular separation between two

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25

The diagram shows an oscillating block connected to two identical springs. The frequency of oscillations can be increased substantially by

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26

A simple pendulum has a bob of mass m and a light string of length l . The string is replaced by a uniform rod of mass m and of the same length l . The time period of this pendulum

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27

When a body is suspended from a fixed point by a spring, the angular frequency of its vertical oscillations is ₁ . When a different spring is used, the angular frequency is ₂ . The

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28

A sphere of radius R made up of Styrofoam (light polystyrene material) has a cavity of radius R / 2 . The centre of the cavity is situated at a distance of R / 2 from the centre of

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29

A ball A of mass 1 kg moving at a speed of 5 ~m / s strikes tangentially another ball B initially at rest. The ball A then moves at right angles to its initial direction at a speed

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30

Consider two point masses m₁ and m₂ connected by a light rigid rod of length r₀ . The moment of inertia of the system about an axis passing through their centre of mass and perpend

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31

The Sun having radius R and surface temperature T , emits radiation as a perfect emitter. The distance of the earth from the sun is r and the radius of the earth is R_ e . The tota

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32

Graphs (drawn with the same scale) showing the variation of pressure with volume for a certain gas undergoing four different cyclic processes , B , C and D are given below. The cyc

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33

The molar specific heat of an ideal gas in a certain thermodynamic process is T where is a constant. If the adiabatic exponent is = C_P C_V , the work done in heating the gas from

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34

Circuit A is a series LCR circuit with C_ A =C and L_ A =L . Another circuit B has C_ B =2 C and L_ B =L / 2 . Both the circuits have the same resistance and the capacitor and the

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35

The impedance (Z) of three electrical components e₁, e₂ and e₃ has frequency (f) dependence as shown by the following three curves. The three components e₁, e₂, e₃ are respectively

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36

A 10 ohm resistor is connected to a supply voltage alternating between +4 V and -2 V as shown in the following graph. The average power dissipated in the resistor per cycle is

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37

Consider a manual camera with a lens having a focal length of 5 cm . It is focused at infinity. For catching the picture of an object at a distance of 30 cm , one would

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38

A point source of light is viewed through a plate of glass of thickness t and of refractive index 1.5. The source appears

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39

A small fish, 4 cm below the surface of a lake, is viewed through a thin converging lens of focal length 30 cm held 2 cm above the water surface. Refractive index of water is 1.33

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40

A block of mass 2 kg drops vertically from a height of 0.4 m onto a spring whose force constant K is 1960 ~N / m . Therefore, the maximum compression of the spring is

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