Dhurandhar Full Test Series for NEET 2026 - 48

The main scale of a vernier callipers has K divisions/m. $n+1$ divisions of the vernier scale coincide with n divisions of main scale. The least count of the vernier callipers (in cm) is:

If the velocity of particle is $v=4t+3t^{2},$ (where v is in m/s and t is in sec.) then the distance travelled by it between 1s and 3s is:

A ball launched as a projectile has initially the same horizontal velocity as it would acquire if it had moved from rest with uniform acceleration of $4~m/s^{2}$ for 25 sec. if the ball reaches peak of height it is 125 m, calculate the angle of projection is:

A object is dropped from a hight 'h'. It hits the ground with certain momentum P. If the same stone is dropped from a new height such that its momentum upon impact increases by 200% (becomes 3P) by what factor x was the original height h increased newly.

The instantaneous angular position of a point on a rotating wheel is given by equation $\theta(t)=t^{3}-6t^{2}+1$. The torque on the wheel becomes zero at:

A long solenoid has 200 turns per cm and Carries a current of 2.5 amps. The magnetic field at its centre is:

A 5V battery is connected across the points X and Y. Assume $D_{1}$ and $D_{2}$ to be normal silicon diodes. Find the current supplied by the battery. If the positive terminal of the battery is connected to point X.

Water is flowing continuously from a tap having an internal diameter $8\times10^{-3}m.$ The water velocity as it leaves the tap is $0.4~ms^{-1}$ The diameter of the water stream at a distance $2\times10^{-1}m$ below the tap is close to:

If binding energies per nucleon of X, B and A are 7.4 MeV, 8.2 MeV and 8.2 MeV respectively, then the energy released in the reaction: $X^{200}\rightarrow A^{110}+B^{90}+$ energy will be:

When the angle of incidence on a material is 60°, the reflected light is completely polarised. The velocity of the refracted ray inside the material is $(in~ms^{-1})$:

In a semiconductor the concentration of electron is $8\times10^{14}$ per cubic cm. & that of hole is $5\times10^{12}$ per cubic cm. The semiconductor is:-

The correct curve between fring width ($\beta$) and distance between the slits (d) in YDSE is:

The combination of logic gates shown below is equivalent to:

Magnetic flux linked with a coil is $\phi$ and induced emf in coil is e then possible situations are:
(a) $\phi=0$, $e=0$
(b) $\phi=0,e\ne0$
(c) $\phi\ne0$, $e=0$
(d) $\phi\ne0,$ $e\ne0$

The primary winding of a transformer has 200 turns and its secondary winding has 2000 turns. Potential difference on one turn of primary winding is 1 V then potential difference on 1 turn of secondary coil will be:

A thin rod of length $\frac{f}{3}$ lies along the axis of a concave mirror of focal length f. One end of its magnified real image touches an end of the rod. The length of the image is:

The de-Broglie wavelength of a particle accelerated with 150 volt potential is $10^{-10}m.$ If it is accelerated by 600 volts p.d. its wavelength will be:

When a point source of light is at a distance of one meter from a photo cell, the cut off voltage is found to be V. If the same source is placed at 2 m distance from photo cell, the cut off voltage will be:

A monoatomic gas supplied the heat Q very slowly keeping the pressure constant. The work done by the gas will be:

A coin is placed on a gramophone record rotating at a speed of 45 rpm. It flies away when the rotational speed is 50 rpm. If two such coins are placed on over the other on the same record, both of them will fly away when the rotation speed is:

An organ pipe produces a fundamental frequency of 320 Hz at $47^{\circ}C$. At $27^{\circ}C$ the fundamental frequency of pipe would be:-

In a portion of some large electrical network, currents in certain branches are known as shown in figure: The value of $V_{A}-V_{C}$ is:

A particle having a charge of 10.0µC and mass 1 µg moves in a circle of radius 10 cm under the influence of a magnetic field of induction 0.1 T. When the particle is at a point P, a uniform electric field is switched on so that the particle starts moving along the tangent with a uniform velocity. The electric field is:

Charge Q on a capacitor varies with voltage V as shown in the figure, where Q is taken along the X-axis and V along the Y-axis. The area of triangle OAB represents:

The electric potential V as a function of distance x (in metre) is given by: $V=(-10x^{2}+8x+2)$ The value of electric field at $x=1$ m would be:

A beam of light travelling along x-axis is described by the electric field $E_{y}=(600~Vm^{-1})\sin(\omega t-x/c)$ then maximum magnetic force on a charge $q=2e$ moving along y-axis with speed of $2.0\times10^{7}ms^{-1}$ is $(e=1.6\times10^{-19}C)$:

A 1m long metallic rod is rotated with an angular frequency of $400~rad/s$ about an axis normal to the rod passing through its one end. The other end of rod is in contact with a circular metallic ring. A constant & uniform magnetic field of 0.5 T parallel to axis exists every where. Find emf developed between the centre & ring:

The kinetic energy (KE) of a planet revolving in an elliptical orbit around the sun, is plotted against the distance r from the sun. Out of the following graphs, the one that best represents the variation is:

Assertion: Strain is a unitless quantity.
Reason: Strain is equivalent to force.

There are to inclined surfaces of equal length (L) and same angle of inclination $45^{\circ}$ with the horizontal. One of them is rough and the other is perfectly smooth. A given body takes 2 times as time to slide down on rough surface than on the smooth surface. The coefficient of kinetic friction $(\mu_{k})$ between the object and the rough surface is close to:

The current passing through the battery in the given circuit, is:

An oxygen cylinder of volume 30 litre has 18.20 moles of oxygen. After some oxygen is withdrawn from the cylinder, its gauge pressure drops to 11 atmospheric pressure at temperature $27^{\circ}C.$ The mass of the oxygen withdrawn from the cylinder is nearly equal to:
$[Given,R=\frac{100}{12}J~mol^{-1}K^{-1},$ and molecular mass of $O_{2}=32$, 1 atm pressure $=1.01\times10^{5}N/m^{2}]$

Three identical heat conducting rods are connected in series as shown in the figure. The rods on the sides have thermal conductivity 2K while that in the middle has thermal conductivity K. The left end of the combination is maintained at temperature 3T and the right end at T. The rods are thermally insulated from outside. In steady state, temperature at the left junction is $T_{1}$ and that at the right junction is $T_{2}$ The ratio $T_{1}/T_{2}$ is:

The radius of Martian Orbit around the Sun is about 4 times the radius of the orbit of Mercury. The Martian year is 687 Earth days. Then which of the following is the length of 1 year on Mercury?

Which of the following options represent the variation of photoelectric current with property of light shown on the x-axis?

A physical quantity P is related to four observation a, b, c and d as follows:
$P=\frac{a^{3}b^{2}}{c\sqrt{d}}$
The percentage errors of measurement in a, b, c and d are 1%, 3%, 2% and 4% respectively. The percentage error in the quantity P is

A light ray enters through a right angled prism at point P with the angle of incidence 30° as shown in figure. It travels through the prism parallel to its base BC and emerges along the face AC. The refractive index of the prism is:

The electric field in a plane electromagnetic wave is given by:
$E_{z}=60~\cos(5x+1.5\times10^{9}t)V/m.$
Then expression for the corresponding magnetic field is (here subscripts denote the direction of the field):

A 2 amp current is flowing through two different small circular copper coils having radii ratio 1: 2. The ratio of their respective magnetic moments will be:

The incorrect relation for a diamagnetic material (all the symbols carry their usual meaning and $\epsilon$ is a small positive number) is:

Match Column-I with Column - II.

Column - I (Particle)
(a) Electron
(b) Proton
(c) Neutron
(d) a-Particle

Column - II (Property)
(i) Positive charge $(+1.6\times10^{-19}C)$
(ii) Neutral, mass ≈ proton mass
(iii) Negative charge $(-1.6\times10^{-19}C)$
(iv) Helium nucleus $(He^{2+})$

The quantities which have the same dimensions as those of solid angle are:

Statement - I: A child running on a frictionless trolly changes the velocity of the trolly.
Statement - II: The force exerted by the child is an internal force for the (child + trolley) system.

A particle is moving along x-axis with its position (x) varying with time (t) as $x=\alpha t^{4}+\beta t^{2}+\gamma t+\delta.$ The ratio of its initial velocity to its initial acceleration, respectively, is :

The terminal voltage of the battery, whose emf is 10V and internal resistance $1\Omega$, when connected through an external resistance of $4\Omega$ as shown in the figure is: