AIIMS Questions

A sphere pure rolls on a rough inclined plane with initial velocity $2.8\text{ m/s}$. Find the maximum distance on the inclined plane.

If energy of electron in ground state is −13.6 then find out speed of electron in fourth orbit of H⁻atom

After switch is closed, current drawn from the battery is:

A person wear normal spectacles in which the distance of glasses and eyes is approximately 2 cm, then power required is -5D. If he wears contact lens, then the required power is:

If radius of the earth is 6347 km, then what will be difference between acceleration of free fall and acceleration due to gravity near the earth's surface?

In a LCR oscillatory circuit find the energy stored in inductor at resonance. If voltage of source is 10 V and resistance is 10 Ω and inductance=1 H.

Calculate charge on capacitor in steady state.

Time period of oscillation for given combination will be:

If energy of 15 eV is given to electron in $4^{th}$ orbit then find it's final energy when it comes out of H⁻atom.

A semi circular arc of radius r and a straight wire along the diameter, both are carrying same current i. Find out magnetic force per unit length on the small element P, which is at the centre of curvature.

An oscillator circuit consists of an inductance of 0.5 mH and a capacitor of 20 μF. The resonant frequency of the circuit is nearly

For a wire $\frac{R}{l} = \frac{1}{2}$ and length of wire is $l = 5\text{ cm}$. If a potential difference of $1\text{ V}$ is applied across it, the current through the wire will be: ($\text{R} = \text{Resistance}$)

Find the maximum tension in the spring if initially spring at its natural length when block is released from rest.

Find the charge in steady state of the capacitor.

For a toroid N = 500, radius = 40 cm, and area of cross section = 10 cm². Find inductance.

If modulation index $\mu = \frac{1}{2}$ and $V_M = 2$ then $V_C = ?$

A body of mass 5×10³ kg moving with speed 2 m/s collides with a body of mass 15×10³ kg in elastically and sticks to it. Then loss in K.E. of the system will be:

A current of 10 amp is passing through a metallic wire of cross sectional area 4×10⁻⁶ m². If the density of the aluminum conductor is 2.7 gm/cc considering aluminum gives 1 electrons per atom for conduction find the drift speed of the electrons if molecular weight of aluminum is 27 gm.

For the given figure find the acceleration of $1\text{ kg}$ block if string is massless and mass of the pulley is $2\text{ kg}$ and diameter of puller is $0.2\text{ m}$.

Find BE per nucleon of ⁵⁶Fe where m(⁵⁶Fe) = 55.936 u, mₙ = 1.00727 u, mₚ = 1.007274 u.

A string wave equation is given y = 0.002sin(300t - 15x) and mass density is μ = 0.1 kg/m. Then find the tension in the string.

A disc of radius 5 m is rotating with angular frequency 10 rad/sec. A block of mass 2 kg to be put on the disc friction coefficient between disc and block is μₖ = 0.4, then find the maximum distance from axis where the block can be placed without sliding:

If speed of sound in air in 330 m/s then, find the number of tones present in an open organ pipe of length 1 m whose frequency if ≤ 1000.

For a refrigerator, heat absorbed from source is 800 J and heat supplied to sink is 500 J then the coefficient of performance is

If maximum energy is stored in capacitor at t = 0 then find the time after which current in the circuit will be maximum.(Circuit parameters: $L = 25 \text{ mH}$, $C = 10 \text{ }\mu\text{F}$)

In a transformer, numbers of turns in the primary are 140 and that in the secondary are 280. If current in primary is 4 A, then that in the secondary is.

An electron is revolving in n = 3 orbit. What will be the magnetic field at the centre of hydrogen atom?

Angular magnification of telescope if focal length of objective and eye lenses are 10 cm and 10 mm respectively and tube length is 11 cm:

An electron is moving in a circle of radius 2 m with speed 4 m/s. Find the acceleration of the electron.

In damped oscillation graph between velocity and position will be

When capacitor is fully charged, find current drawn from the cell. 9V C.

A light of wavelength 500 nₘ is incident on a Young's double slit. The distance between slits and screen is D = 1.8 m and distance between slits is d = 0.4 mm. If screen moves with a speed 4 m/s, with what speed first maxima will move?

If two protons are moving with speed v = 4.5×10⁵ m/s parallel to each other then the ratio of electrostatic and magnetic force between them

Given $V_{\text{CM}} = 2 \text{ m/s}$, $m = 2 \text{ kg}$, $R = 4 \text{ m}$.

(A ring is shown in the x-y plane, rolling on the positive x-axis. Its center of mass is moving with velocity $v$ in the positive x-direction.)

Find angular momentum of ring about origin if it is in pure rolling.

An electron collides elastically with H⁻like atom and excites it from ground state to n = 3. Find out the energy transfer to H⁻like atom

A container of height 10 cm is filled with water. There is a hole at bottom. Find the pressure difference between points A & B:

A transformer with turns ratio $\frac{N_1}{N_2} = \frac{50}{1}$ is connected to a 120 volt AC supply. If primary and secondary circuit resistances are 1.5 kΩ and 1 Ω respectively then find out power out put

Find the gravitational field at a distance of 2000 km from centre of earth. (Given Rₑₐᵣₜₕ = 6400 km, r = 2000 km, Mₑₐᵣₜₕ = 6 × 10²⁴ kg);

If voltage across zener diode is 6V then find out value of maximum resistance in this condition.

A coil is placed in y-z plane making an angle of 30° with x-axis. The current through coil is I, and number of turns are N. If a magnetic field of strength ‘B’ is applied in positive x-direction, then find the torque experienced by the coil: (Radius of coil is R) (N = 100, I = 1 Å, R = 2m, B = 1/π T)

A transformer consists of 500 turn in primary coil and 10 turns in secondary coil with the load of 10 Ω. Find out current in the primary coil when the voltage across secondary coil is 50 V.

In YDSE a = 2 mm, D = 2 m, λ = 500 nₘ. Find the distance of point on screen from central maxima where intensity becomes 50% of central maxima

Dimension of Capacitance is

Modern treatment method P.E.T. is based on !

A sample which has half life of $10^{33}$ years, if the initial number of nuclei of the sample is $26 \times 10^{24}$. Then find out the number of nuclei decayed in 1 year.

A gun applies a force $\text{F}$ on a bullet which is given by $\text{F} = \left(100 - 0.5 \times 10^5\text{t}\right)\text{N}$. The bullet emerges out with speed $400\text{ m/s}$. Then find out the impulse exerted till force on bullet becomes zero.

In the figure, find out the magnetic field at B (Given I = 2.5A, r = 5 cm)

Find force per unit length at P.

Find magnetic field at centre P if length of side of square loop is 20 cm.

A proton is projected with velocity $\vec{\text{V}} = 2\hat{\text{i}}$ in a region where magnetic field $\vec{\text{B}} = \left(\hat{\text{i}} + 3\hat{\text{j}} + 4\hat{\text{k}}\right)\mu\text{T}$ and electric field $\vec{\text{E}} = 10\hat{\text{i}}\ \mu\text{V/m}$. Then find out the net acceleration of proton: