AIIMS Physics Class 12 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.

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:

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.

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.

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 charge in steady state of the capacitor.

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

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 $0.2\text{ m}$.

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.

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:

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

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

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

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.

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:

In figure two parallel infinitely long current carrying wires are shown. If resultant magnetic field at A is zero, then determine current I₁.

What is the dimension of Luminous flux :

A capacitor is connected to a battery of voltage $V$. Now a dielectric slab of dielectric constant $k$ is completely inserted between the plates, then the final charge on the capacitor will be: (If initial charge is $q_0$)

The unit of magnetic flux is:

Two circular loops having same radius $[R = 10 \text{ cm}]$ and same current $\frac{7}{2} \text{ A}$ are placed along same axis as shown. If distance between their centre is $10 \text{ cm}$, find net magnetic field at point P.

For a telescope, focal length of objective lens is 15 cm and focal length of eye piece is 10 mm. If tube length is 16 cm, then find the magnification:

If half life of an element is 69.3 hours then how much of its percent will decay in 10th to 11th hours. Initial activity = 50 µCi

Calculate the focal length of the given lens if the magnification is $-0.5$.

Transformer $\rightarrow$ ideal $\rightarrow \text{E}_\text{p} = 1000\text{ V}$, $\text{I}_\text{p} = 50\text{ A}$, $220\text{ V} \rightarrow 80\text{ houses}$ resistances of secondary coil will be:

The given transistor operates in saturation region then what should the be value of $\text{V}_{\text{BB}}$:

$\left(\text{R}_{\text{out}} = 200\ \Omega,\ \text{R}_{\text{in}} = 100\text{ k}\Omega,\ \text{V}_{\text{CC}} = 3\text{ volt},\ \text{V}_{\text{BE}} = 0.7\text{ volt},\ \text{V}_{\text{CE}} = 0,\ \beta = 200\right)$

Find charge on the capacitor after 1 sec of opening the switch at t = ∞?

If $\text{f}_0 = 5 \text{ cm}$, $\lambda = 6000\text{\AA}$, $\text{a} = 1 \text{ cm}$ for a microscope, then what will be its resolving power.

Distance of 5th dark fringe from centre is 4 mm. If D = 2 m, λ = 600 nm, then distance between slits is :

A capacitor of capacitance 15nF having dielectric slab of εᵣ = 2.5 dielectric strength 30 MV/m and potential difference = 30 volt calculate the area of plate.

In an LCR series circuit, the source voltage is $120\text{ volt}$, the voltage across the inductor is $50\text{ volt}$, and across the resistor is $40\text{ volt}$. Determine the voltage across the capacitor.

How can we change a camera from F/4 to F/5.6 ?

Force on current carrying loop (Radius = R) in uniform magnetic (B) field which is at an angle 30º with the normal will be :

Frequency of L-C circuit is $f_1$. If a resistance R is also added to it, the frequency becomes $f_2$. The ratio of $\frac{f_2}{f_1}$ will be:

$\alpha$ particle is revolving in radius $r$ with frequency $f$ then find value of magnetic dipole moment.

Assertion: Incoming light reflected by earth is partially polarized.

Reason: Atmospheric particle polarize the light

A capacitor of capacitance 9nF having dielectric slab of εᵣ = 2.4 dielectric strength 20 MV/m and P.D. = 20V calculate area of plates.

Ratio of electric and magnetic field due of moving point charge if its speed is 4.5×10⁵ m/s