Dhurandhar Full Test Series for NEET 2026 - 50

The center of mass of a uniform rod is at its :

A body is suspended by a string from the ceiling of an elevator. It is observed that the tension in the string is doubled when the elevator is accelerated. The acceleration will be -

The potential energy of a body as a function of distance is given as $U(x)=(-6x^{2}+2x)$ J. The conservative force acting on body at $x=1$ m will be:

A ball of mass 0.5 kg is tied to one end of a string of length 1 m and rotated in a vertical circle. Find the minimum possible speed of ball at the lowest point of the circle. Acceleration due to gravity $(g=9.8~m/s^{2})$.

Assertion: It is not possible to accelerate if travelling at a constant speed.
Reason: It is not possible to round a curve with zero acceleration.

The ratio of the radii of planets A and B is $k_{1}$ and ratio of acceleration due to gravity on them is $k_{2}$. The ratio of escape velocities from them will be:

The excess pressure inside a spherical drop of water is four times that of another drop. Then their respective mass ratio is :

Two equal drops are falling through air with a steady velocity of $5~cm/sec$. If the drops coalesce, the new terminal velocity will be :

In steady flow of a liquid fluid:

The temperature of an iron rod is increased by $500^{\circ}C$. Find the percentage increases in length of the rod, if $\alpha_{iron}=10^{-5}~^{\circ}C^{-1}$:

Assertion (A): Susceptibility is defined as the ratio of intensity of magnetisation (I) to magnetic intensity (H).
Reason (R): Greater the value of susceptibility smaller value of intensity magnetisation.

Which of the following statements are correct:
(I) The wavelength of microwave is greater than that of UV-rays.
(II) The wavelength of infrared rays is lesser than that of UV-rays
(III) The wavelength of microwave is lesser than that of infrared rays.
(IV) Gamma rays have shortest wavelengths in the electromagnetic spectrum

Two square metal plates A and B are of the same thickness t and material. The side of B is twice that of A. These are connected as shown in series. If the resistances of A and B are denoted by $R_{A}$ and $R_{B}$ then $(\frac{R_{A}}{R_{B}})$ is:

Resistivity of manganin and constantan alloy varies with the temperature:

The resultant capacitance of given circuit is :

Two circular coils 1 & 2 are made from the same wire but radius of $1^{st}$ coil is twice that of $2^{nd}$ coil. What is the ratio of potential difference applied across then so that the magnetic field at their centres is the same :

Match the Electric field due to :

Column I
(A) Infinite plane sheet of charge
(B) Infinite conducting charge plane sheet
(C) Non-conducting charged solid sphere at its surface
(D) Conducting charged solid sphere at its centre

Column II
(1) 0
(2) $\sigma/2\epsilon_{0}$
(3) $R\rho/3\epsilon_{0}$
(4) $\sigma/\epsilon_{0}$

The correct relation between half power frequencies in LCR series circuit is:

In the given figure a diode D is connected to an external resistance $R=100\Omega$ and an e.m.f of 4.5 V. If the barrier potential developed across the diode is 0.5 V, the current in the circuit will be:

On a glass plate a light wave is incident at an angle of $30^{\circ}$ If the reflected and the refracted waves are mutually perpendicular, the refractive index of material is:

The de Broglie wavelength associated with an electron accelerated by a potential of 121 V is:

If atoms are in certain excited state. When these return to ground state, total number of wavelengths emitted by them is 15. Then atoms were initially in state:

Density of Nucleus is:

Hydrogen atom from excited state comes to the ground state by emitting a photon of wavelength $\lambda$. If R is the Rydberg constant, the principal quantum number n of the excited state is:

If the total energy transferred to a surface in time t is $6.48\times10^{5}$ J, then the magnitude of the total momentum delivered to this surface for complete absorption will be :

The work function of Aluminium and Gold are 4.1 eV and 5.1 eV respectively. The ratio of the slope of the stopping potential versus frequency plot for Gold to that of Aluminium is

The radius of third stationary orbit of electron for Bohr's atom is R. The radius of fourth stationary orbit will be :

Time period of a simple pendulum is 2 sec. If its length is increased by 4 times, then its time period becomes:

The velocity of sound in any gas depends upon:

The maximum in minimum values of resultant of two vectors are 10 and 6 units respectively. The magnitude of smaller vector is:

A wire of resistance $256\Omega$ is melted and folded over itself so that its new radius of cross section area becomes 4 times its original radius. Its new resistance will be:

A particle of mass m and charge Q is placed in an electric field E which varies with time as $E=E_{0}\sin \omega t$. It will undergo simple harmonic motion of amplitude.

The radii of curvature of two surface of a lens are 20 cm and 30 cm and refractive index of lens is 1.5. If lens is concavo convex then the focal length is:

A cubical block of side 'a' and density '$\rho$' slides over a fixed inclined plane with constant velocity 'v'. There is a thin film of viscous fluid of thickness 't' between the plane and the block. Then the coefficient of viscosity of the thin film will be: (Acceleration due to gravity is g)

The path difference between two interfering waves at a point on screen is 171.5 times the wavelength. If the path difference is 0.01372 cm. Find the wavelength?

A ray of light is incident on an equilateral glass prism. For minimum deviation which of the following is true:-

Assertion: A point charge is brought in an electric field. The field at a nearby point will increase, whatever be the nature of the charge.
Reason: The electric field is independent of the nature of charge.

The equation of a progressive wave is $y=8~\sin[\pi(\frac{t}{10}-\frac{x}{4})+\frac{\pi}{3}]$. The wavelength of the wave is:

$f_{1}$ is the frequency of the series limit of the Lyman series, $f_{2}$ is the frequency of the first line of the Lyman series and $f_{3}$ is the frequency of the series limit of the Balmer series. Match the statements of the two columns :

Column - I
a. $f_{1}$
b. $f_{2}$
c. $(f_{2}-f_{1})$
d. $(f_{1}-f_{2})$

Column - II
p. Greater than $f_{3}$
q. Is negative
r. Greater than $f_{2}$
s. Is equal to $f_{3}$.

Two wires made up of the same material are of equal lengths but their radii are in the ratio 1: 2. On stretching each of these two strings by the same tension, the ratio between the fundamental frequencies is:

If $\epsilon_{0}$ is permittivity of free space and $\mu_{0}$ is magnetic permeability of free space then the dimensional formula of $(\frac{2}{\mu_{0}\epsilon_{0}})^{1/2}$ is:

A point charge 'q' is placed at centre of hollow cylinder as shown in figure. If this charge is moved towards face 'A' then electric flux related with face 'B' will:

A particle of mass 'm' is projected as shown in figure. The height 'h' is:

100 g of water is heated from $30^{\circ}C$ to $50^{\circ}C$. Ignoring the slight expansion of the water, the change in its internal energy is (specific heat of water is $4184~J~kg^{-1}K^{-1}$)

Two moles of helium gas is mixed with three moles of hydrogen molecules (taken to be rigid). What is the molar specific heat of mixture at constant volume? $(R=8.3~J/mol~K)$