AIIMS Physics Class 12 Questions

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

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

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:

Consider the circuit as shown below.

Calculate charge on capacitor in steady state.

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

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.

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

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.

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.

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

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

Find the charge in steady state of the capacitor.

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

Consider the figure,

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

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.

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: $L = 25 \text{ mH}$, $C = 10 \text{ }\mu\text{F}$)

The number of turns is inversely proportional to the current. Nₚ/Nₛ = iₛ/iₚ. 140/280 = iₛ/4. iₛ = 2 Å

If maximum energy is stored in capacitor at t = 0 then find the time after which current in the circuit will be maximum.

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:

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?

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

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

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

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

Consider the following expression. V₂/V₁ = N₂/N₁ Substitute the values as, V₂/120 = 1/50 V₂ = 12/5 Let transformer is ideal. P_in = P_out Therefore, P_out = V₂²/R₂ Substitute the values as, P_out = (12/5)²/10 = 5.76 W

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)

Dimension of Capacitance is

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

P.E.T. is positron emission tomography is a nuclear medicine functional imaging technique used to observe metabolic processes to diagnosis of disease.

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.

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.

Find force per unit length at P.

The number of nuclei decayed in 1 year is calculated as, \(-rac{dN}{dt} = \lambda N\) \(-dN = rac{\ln 2}{T} imes N imes dt\) \(= rac{0.7}{10^{33}} imes 26 imes 10^{24} imes 1\) \(= 18.2 imes 10^{-7}\)

A current i flows through a circular loop as shown. Determine the magnetic field at the center of the loop.

The expression of force is given by, 𝐹⃗ = 𝑄𝐸⃗ +𝑄(𝑉⃗ ×𝐵⃗ ) = (1.6×10⁻¹⁹) [(10𝑖̂×10⁻⁶) + (1.6×10⁻¹⁹) [(2𝑖̂) × (𝑖̂ + 3𝑗̂ + 4𝑘̂)] × 10⁻⁹ = (1.6×10⁻¹⁹) [10𝑖̂ − 8𝑗̂ + 6𝑘̂] × 10⁻⁶ N Calculate the acceleration as follows, 𝑎⃗ = (1.6×10⁻¹⁹) [10𝑖̂ − 8𝑗̂ + 6𝑘̂] × 10⁻⁶ N / 1.6×10⁻²⁷ = 1400 m/s²

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

The initial charge on the capacitor is, \(q_0 = C_0V = rac{\varepsilon_0 A}{d} V\) The charge on the capacitor when di-electric is inserted is,

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 :

The unit of magnetic flux is Weber.

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.

The expression of magnification is given by, m = f₀/fₑ. Substitute the values as, m = 15/1 = 15

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

The focal length of lens can be calculated as, m = \frac{f}{u + f} \frac{1}{2} = \frac{f}{-²⁰⁺ f} -²⁰⁺ f = -2f f = 6.66 \text{ cm}

The given transistor operates in saturation region then what should be the value of V_BB: (R_out = 200 Ω, R_in = 100 kΩ, V_CC = 3 volt, V_BE = 0.7 volt, V_CE = 0, β = 200)

In hydrogen atom find magnetic field at centre in ground. State if Bohr’s radius is r₀ = 5×10⁻¹¹ m.

For an ideal transformer power input is equal to power output. P_{in} = P_{out} E_p I_p = \frac{V_s^2}{R_s} 1000 \times 50 = \frac{220^2}{R_s} R_s = 0.968 \Omega \approx 1 \Omega

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