Physics Model set 3 shaalaa.com 2021-2022 HSC Science (General) 12th Standard Board Exam Question Paper Solution

The moment of inertia of a circular loop of radius R, at a distance of R/2 around a rotating axis parallel to horizontal diameter of the loop is ______

½ MR² 

¾ MR² 

MR² 

2MR² 

Two capillary tubes of radii 0.6 cm and 0.3 cm are dipped in the same liquid. The ratio of heights through which the liquid will rise in the tubes is ______.

2 : 1

1 : 2

4 : 1

1 : 4

Heating a gas in a constant volume container is an example of which process?

isochoric

adiabatic

isobaric

cyclic

The bending of a beam of light around corners of obstacle is called ______ 

Reflection

Diffraction

Refraction

Interference

The dimensions of Rydberg’s constant are ______ 

[M⁰ L¹ T⁰] 

[M⁰L ^-1T⁰] 

[M⁰L¹T¹]

[M⁰L^-1 T^-1] 

A particle is performing simple harmonic motion with amplitude A and angular velocity ω. The ratio of maximum velocity to maximum acceleration is ______.

ω

1/ω

ω²

A/ω

For which logic gate the following statement is true? The output is low, if and only if all inputs are low ______.

AND

NOR

NAND

OR

A parallel plate capacitor with oil between the plates (dielectric constant of oil, k = 2) has a capacitance C. If the oil is removed, then the capacitance of the capacitor becomes ______ 

2C

`Csqrt2`

`c/sqrt2`

`c/2`

A circular loop of radius 0.0157 m carries a current 2 A. The magnetic field at the centre of the loop is ______  

1.57 × 10^-3 Wb/m² 

8.0 × 10^-5 Wb/m² 

2.0 × 10^-3 Wb/m²  

3.14 × 10^-1 Wb/m² 

A magnetic material of susceptibility 3 × 10⁻⁴, and magnetic intensity is 4 × 10⁻⁴ Am⁻¹. Then The magnetization in the units of Am⁻¹ is ______.

12 × 10⁸ 

1.33 × 10⁸ 

0.75 × 10⁻⁸

14 × 10⁻⁸ 

State and prove: Law of conservation of angular momentum.

Under which condition laws of Boyle, Charles, and Gay-Lussac are valid?

Why two light sources must be of equal intensity to obtain a well-defined interference pattern?

State Faraday's laws of electromagnetic induction.

State the formula for the frequency of S.H.M in terms of force constant. 

State any one use of a potentiometer.

The moment of a magnet (15 cm × 2 cm × 1 cm) is 1.2 A-m². What is its intensity of magnetization?  

For a transistor I_C = 15 mA, I_B = 0.5 mA. What is the current amplification factor?  

State the average or mean value of an alternating emf? Obtain the expression for it.

Explain the principle of a capacitor.

What is the difference between Fresnel and Fraunhofer diffraction? 

A flywheel is revolving with a constant angular velocity. A chip of its rim breaks and flies away. What will be the effect on its angular velocity?

Compare streamline flow and Turbulent flow.

Show the graphical representation of radiant power of a black body per unit range of wavelength as a function of wavelength.

Explain the cyclic process. 

The half-life of a certain radioactive nucleus is 3.2 days. Calculate (i) decay constant (ii) average life of radioactive nucleus.

An ideal gas of volume 2 L is adiabatically compressed to (1/10)^th of its initial volume. Its initial pressure is 1.01 x 105 Pa, calculate the final pressure. (Given 𝛾 = 1.4) 

Find the current in a circuit consisting of a coil and a capacitor in series with an A.C source of 110V (r.m.s.), 60Hz. The inductance of a coil is 0.80 H and its resistance is 50Ω. The capacitance of a capacitor is 8µF. 

Prove that a pipe open at both ends of a length of 2L has the same fundamental frequency as another pipe of closed at one end of length L.

An electron is accelerated through a potential of 120 V. Find its de Broglie wavelength.

Derive an expression for the difference in tensions at the highest and lowest point for a particle performing the vertical circular motion. 

Describe Young’s double-slit experiment with a neat diagram showing points of maximum and minimum intensity. 

Explain step up and step down transformer?

Obtain the expression for the period of a magnet vibrating in a uniform magnetic field and performing S.H.M.

What is a logic gate? Draw the symbol and give the truth table for NOT gate. Why NOT the gate is called an inverter? 

Obtain an expression for the capacitance of a parallel plate capacitor without a dielectric. 

Explain with a neat circuit diagram. How you will determine the unknown resistances using a meter bridge.

A circular loop of radius 9.7 cm carries a current 2.3 A. Obtain the magnitude of the magnetic field
(a) at the centre of the loop
(b) at a distance of 9.7 cm from the centre of the loop but on the axis.

When a plate of magnetic material of size 10 cm × 0.5 cm × 0.2 cm (length, breadth, and thickness respectively ) is located in the magnetizing field of 0.5 × 10⁴ Am^-1 then a magnetic moment of 5 Am² is induced in it. Find out magnetic induction in the plate.   

The energy of a photon is 2 eV. Find its frequency and wavelength.  

Calculate the shortest wavelength in the Paschen series if the longest wavelength in the Balmar series is 6563 A^o. 

The primary of a transformer has 40 turns and works on 100 V and 100 W. Find a number of turns in the secondary to step up the voltage to 400 V. Also calculate the current in the secondary and primary.

Derive an expression for the terminal velocity of the sphere falling under gravity through a viscous medium. 

Explain the spectral distribution of blackbody radiation.

Explain the thermodynamics of the isobaric process.  

A sonometer wire of length 1 m is stretched by a weight of 10 kg. The fundamental frequency of vibration is 100 Hz. Determine the linear density of the material of the wire.

Obtain the expression for the applied emf and the effective resistance of the circuit when alternating emf is applied to a CR circuit.

Calculate the value of the shunt resistance when connected across a galvanometer of resistance 18Ω will allow 1/10 th of the current to pass through the galvanometer. 

Using the differential equation of linear S.H.M., obtain an expression for acceleration, velocity, and displacement of simple harmonic motion. 

Currents of equal magnitude pass through two long parallel wires having a separation of 1.35 cm. If the force per unit length on each of the wires is 4.76 x 10^-2 N, what must be I ?