Dhurandhar Full Test Series for NEET 2026 - 44

A body of mass 5kg starts from the origin with an initial velocity $\vec{u}=30\hat{i}+40\hat{j}~ms^{-1}$. If a constant force $\vec{F}=-(\hat{i}+5\hat{j})$ N acts on the body the time in which the y-component of the velocity becomes zero is:

In an LCR circuit, the voltage across the terminal of a resistance, inductance, and capacitance are 40V, 30V, and 60V respectively. Then the voltage across the main source will be:

Number of photons of equal energy emitted per second by a 6 mW laser source operating at 663 nm is
(Given: $h=6.63\times10^{-34}~J\cdot s$, $c=3\times10^{8}~m/s$)

An electron with mass 'm' with an initial velocity $(t=0)~\vec{v}=v_{0}\hat{i}~(v_{0} > 0)$ enters a magnetic field $\vec{B}=B_{0}\hat{j}$. If the initial de-Broglie wavelength at $t = 0$ is $\lambda_{0}$ then its value after time 't' would be:

In a plane electromagnetic wave, the magnetic field of amplitude $B_{0}$ is given by $B = B_{0} \sin (kx-\omega t)$. Then the average energy density of the magnetic field is:

The density of water at the surface of the sea is $1.03\times10^{3}~kg~m^{-3}$. If the pressure at some depth is 80 atm, find the density of water at that depth.
(Bulk modulus of water $=2.2\times10^{9}~Pa$)

Mass M is divided into two parts $M_{1}$ and $M_{2}$. For a given separation, the value of $\frac{M_{1}}{M_{2}}$ for which the gravitational attraction between the two pieces becomes maximum is:

Two p-n junction diodes $D_{1}$ and $D_{2}$ are connected as shown in figure. A and B are input signals and C is the output. The given circuit will function as a

The following diagram shows a Zener diode as a voltage regulator. The Zener diode is rated at $V_{z} = 5$ V and the desired current in load is 5 mA. The unregulated voltage source can supply upto 25V. Considering the Zener diode can withstand four times of the load current, the value of resistor $R_{s}$ (Shown in circuit) should be ________ $\Omega$.

7.9 MeV $\alpha$-particle scatters from a target material of atomic number 79. From the given data the estimated diameter of nuclei of the target material is (approximately) .... m.
$[\frac{1}{4\pi\epsilon_{0}}=9\times10^{9}~Nm^{2}/C^{2}$ and electron charge $=1.6\times10^{-19}~C]$

A ball is thrown vertically upwards with a velocity of $20~m/s$ from the top of a multistory building. The height of the point where the ball is thrown is 25m from the ground. The time taken by the ball to reach the ground is:

Find work done for the process shown in figure:

Nitrogen gas in a cylinder is at pressure 2 atm and temperature $17^{\circ}C$. The radius of a nitrogen molecule is approximately 1 $\mathring{A}$. Estimate the collision frequency of a nitrogen molecule.
(Molecular mass of $N_{2}=28\mu$)

One end of a U-tube containing mercury is connected to a suction pump and the other end is open to the atmosphere. A small pressure difference is maintained between the two columns. When the suction pump is removed, what will happen to the mercury column?

Which one of the following statements about sound waves is correct?

While taking off synthetic clothes, seeing a spark or hearing a crackle, are due to:

The extent of polarisation of a material depends on:

From law of time period given by kepler graph between (time period)$^2$ and (distance)³ is:

A closed organ pipe is vibrating such that there are 10 nodes. the number of overtone is which pipe is tuned-

In the experiment of half deflection method if $R=20\Omega$ and $S=12\Omega$ for half deflection then the G (galvanometer resistance) is:

Which one of the following is true:

A body moving along a circular path of radius R with velocity v, has centripetal acceleration a. If its velocity is made equal to $v/2$, then its centripetal acceleration is:

A conducting circular loop is placed in a uniform magnetic field $B=0.025$ T with its plane perpendicular to the loop. The radius of the loop is made to shrink at a constant rate of 1 mm/s. The induced e.m.f. when the radius is 2 cm is:

The work done in rotating a magnet of magnetic moment M by an angle of $90^{\circ}$ from the external magnetic field direction is 'n' times the corresponding work done to turn it through an angle of $60^{\circ}$. Where 'n' is given by:

In Young's double slit experiment, the separation between the slit and the screen increases. The fringe width

The tension in the string revolving in a vertical circle with a mass m at the end which is at the lowest position. where v is the speed at lowest point:

In the reading shown in the figure, find the zero error (Least count = 0.1 mm)

In case of an orbiting satellite, if the radius of orbit is increased:

n small drops each of radius R having same charge q are combined to form a big drop. Find ratio of stored energy in bigger drop and small drop.

Figure represents a part of the closed circuit. The potential difference between points A and B $(V_{A}-V_{B})$ is

If power dissipated in the circuit is 150 W, then value of R is:

A ball impinges directly on a similar ball at rest. The first ball is brought to rest by the impact. what is the value of the coefficient of restitution:

A charge having $q/m$ equal to $10^{8}$ C/kg and with velocity $3\times 10^{5}$ m/s enters into a uniform magnetic field $B=0.3$ T at an angle $30^{\circ}$ with direction of field. Then radius of helix will be:

A current of 10 A is established in a long wire along the positive z-direction. The magnetic field B at the point (1m, 0, 0) is:

Two point charges Q, are fixed at $y=\frac{d}{2}$ and $y=-\frac{d}{2}$. A charge q placed on x axis, variation of electric force experienced by q v/s x

The dimensional formula for acceleration, velocity and length are $\alpha^{-2}, \beta^{-1}, \gamma$ what is the dimensional formula for the coefficient of friction:

If acceleration due to gravity on the earth surface is g & above height h above the earth surface it is $g_{h}$ $(h << Re)$. at depth d it is also $g_{d}$, if $g_h = g_d$ then:

Statement 1: Bernoulli's equation can be used to describe the flow of water through a rapidly flowing river.
Statement 2: While applying Bernoulli's equation, it does not matter whether we use gauge pressure or absolute pressure.

Trade winds are produced mainly due to which of the following reasons?

If the velocity of particle is $v=2t+6t^{2}$ then the distance travelled by it between 2s and 3s is :

If charges move without collisions through the conductor, their kinetic energy would also change so that total energy remains:

A convex lens made of glass has focal length 0.15m in air. If the Refractive Index of glass is $3/2$ and that of water is $4/3$. The focal length of lens when immersed in water is.

The magnifying power of an astronomical telescope is 10 and the focal length of its eye-piece is 20cm. The focal length of its objective will be.

The two SHM of angular Frequency 100 and 1000 rad/second have the same displacement amplitude the ratio of their. Max. Acceleration is.

A projectile has initially the same horizontal velocity as it would acquire if it had moved from rest with uniform acceleration of $3~m/s^{2}$ for 30 sec. if the maximum height reached by it is 80 m, then the angle of projection is: