HPSC PGT Physics Mock Test - 4 - HPSC TGT/PGT MCQ

The correct answer is Sarabjot Singh.

Key Points

• Haryana’s Sarabjot Singh won double gold at the 65th National Shooting Championship on 2 December 2022.
• Sarabjot defeated Gaurav Rana of the Air Force 16-4 in the gold medal match for the individual crown and also partnered with Sumit Raman and Anmol Jain to pick up the team gold in the event.
• The championship is being held at the MP Shooting Academy range in Bhopal.

Additional Information

• Other Sports News:
  • ​In Badminton, Satwiksairaj Rankireddy and Chirag Shetty bagged the biggest title of their career, claiming the French Open Super 750 crown.
  • In ISSF World Championship, Sagar Dangi bagged Gold and Silver in the Junior Men’s 10m Air Pistol team and individual events in Cairo, Egypt on 21 October 2022.
  • Indian javelin thrower DP Manu won Gold medal in the men’s competition with a best throw of 81.23m at the National Open Athletics Championships in Bengaluru on 18th Oct 2022.

The central fringe will be white because all the component color bands will superimpose there. The option (a) is true.
Since the fringes of different wavelengths of light have different fringe-widths, there will not be a completely dark fringe. Option (b) is true.
Since the wavelength of the violet light is nearly half of the red light, the fringe-width of the violet light is half of the red light. Since the central bright violet fringe combines with other fringes to form the white fringe, the next to it will be a minima for violet light. So violet will not be next to the central white fringe. Next will be a very thin band of white light minus violet light which will give a shade of off white. In this way, the components of indigo, blue, green, yellow and orange colors will be withdrawn respectively in the very thin consecutive bands. These will effect in different off white shades which cannot be clearly differentiated from the white band. The first color away from the center will be recognized as red when in these very thin bands yellow + orange + red, orange + red or red remains. Hence the option (d) is true.

Young's Double Slit Experiment with White light

According to Carnot theorem no heat engine working between two given temperatures of source and sink can be more efficient than a perfectly reversible engine working between the same two temperatures, by the statement of Carnot theorem.

Solution:

• The energy of a photon can be calculated using the formula: E = hc / λ.
• Here, h is Planck's constant, which is 6.63 × 10^-34 J·s.
• The speed of light (c) is 3 × 10⁸ m/s.
• The wavelength (λ) is given as 5500 × 10^-10 m.

Substitute these values into the formula:

• E = [6.63 × 10^-34 J·s × 3 × 10⁸ m/s] / 5500 × 10^-10 m
• Calculating gives: E = [0.36 × 10^-26] / 10^-8
• This simplifies to: E = 3.6 × 10^-19 J

Convert energy from joules to electronvolts:

• 1 electronvolt (eV) = 1.6 × 10^-19 J
• Therefore, E = 3.6 × 10^-19 J / 1.6 × 10^-19 J/eV
• The result is approximately 2.26 eV.

No, this statement is false. The Earth always has a vertical component except at the equator. Similarly, the earth always has a horizontal component except at the poles.

Wavelength of light used is inversely proportional to number of fringes observed.

Explanation:Avogadro's law states that, "equal volumes of all gases, at the same temperature and pressure, have the same number of molecules"For a given mass of an ideal gas, the volume and amount (moles) of the gas are directly proportional if the temperature and pressure are constant.

The voltage developed by the cells in parallel connection cannot be increased by increasing the number of cells present in the circuit. It is because they do not have the same circular path. In parallel connection the connection provides power based on one cell.
The voltage will remain the same.

Actually, diffraction occurs all the time. But when the aperture/wavelength ratio is large, the spacing between fringes becomes too small, and the diffractive effects are unnoticeable.

Concept:

Newton's law of gravitation: The force of attraction between any objects in the universe is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

• The force acts along the line joining the two bodies.
• The gravitational force is a central force that is It acts along the line joining the centers of two bodies.
• It is a conservative force. This means that the work done by the gravitational force in displacing a body from one point to another is only dependent on the initial and final positions of the body and is independent of the path followed.

Explanation:

• The gravitational force on mercury due to the sun is very large than that due to the earth.
• As observed from the earth, the sun appears to move around the earth in a circular orbit though, in reality, the earth moves around the sun due to gravitational force between them
• All planets move around the sun due to the huge gravitational force of the sun acting on them.
• Since the gravitational force on mercury due to the earth is smaller as compared to that on it due to the sun therefore it revolves around the sun and not around the earth.

Hence, option (3) is the correct answer.

Here M=0.48JT⁻¹,d=10cm=0.1m
On axis,
B= (μ_0​​/4π)(2M/d3)​=10⁻⁷×(2×0.48/0.1³)​=0.96×10⁻⁴T

Torque is the rate of change of angular momentum. Force in linear motion corresponds to torque in rotary motion. Thus, just as Newton’s second law can be written as F = dP/dt (F for linear motion), it can be written as T = dL/dt for rotary motion.

A wave front is a line representing all parts of a wave that are in phase and an equal number of wavelengths from the source of the wave. A ray is a line extending outward from the source and representing the direction of propagation of the wave at any point along it. Rays are perpendicular to wave fronts.

As the power of 10 is irrelevant in the determination of significant figures hence, the numbers of significant figures are 5 i.e. 9,4,6,0,5

When a ball is thrown upwards, the vertical component of its velocity decreases as it rises because of the acceleration due to gravity (g), which acts downward.

• Gravity opposes the upward motion, reducing the ball's vertical velocity until it becomes zero at the highest point.
• After reaching the highest point, the ball starts descending, and the vertical velocity increases in the downward direction.

Thus, as the ball rises, the vertical component of its velocity decreases.

Long-sighted people who have lost their spectacles can still read a book by looking through a small (3-4 mm) hole in a sheet of paper because by doing so due to the diffraction at the hole the focal length of the eye lens is effectively decreased. Hence the correct option is C.
 

The smallest value that can be measured by the measuring instrument is called its least count.

Measured values are good only up to this value. The least count error is the error associated with the resolution of the instrument.

I = mr², therefore it depends on body mass and its mass distribution.
 

Mass, m = 14.5 kg
Length of the steel wire, l = 1.0 m
Angular velocity, ω = 2 rev/s = 2 × 2π rad/s = 12.56 rad/s
Cross-sectional area of the wire, a = 0.065 cm² = 0.065 × 10^-4 m²
Let Δl be the elongation of the wire when the mass is at the lowest point of its path.
When the mass is placed at the position of the vertical circle, the total force on the mass is:
F = mg + mlω²
= 14.5 × 9.8 + 14.5 × 1 × (12.56)²
= 2429.53 N
Young’s modulus = Stress / Strain
Y = (F/A) / (∆l/l)
∴ ∆l = Fl / AY
Young’s modulus for steel = 2 × 10¹¹ Pa
∆l = 2429.53 × 1 / (0.065 × 10^-4 × 2 × 10¹¹)   =   1.87 × 10^-3 m
Hence, the elongation of the wire is 1.87 × 10^–3 m
Hence 1.87 × 10^–3 m

 Answer :- 

Solution :- torque when =180°

= 1.5 × 0.22 × sin 180°

= 0.33 × 0 = 0 Nm

Explanation:

The car is in uniform circular motion because it’s moving at a constant speed along a curve that is a segment of a circle. Hence we know 

This is the minimum turning radius because arad is the maximum centripetal acceleration.

W = increase in potential energy of system

=U_f - U_i

=m (V_f - V_i)

(V = gravitational potential)

Note: Even if mass is nonuniformly distributed potential at centre would be -GM/R

Both the objects with different masses will attain the same v when striking the ground because acceleration and height is the same. 
As, K.E=(1​/2)mv²P.E=−GMm​p/r=mv
Thus K.E, P.E, and p will be different.
 

The multiplication of the numbers:
10.610 × 0.210 = 2.2281

Since, the numbers 10.610 and 0.210 have 5 and 3 significant digits, respectively. So, the final result must also have 3 significant digits.

The final answer is 2.23 after rounding off 2.2281. 

In liquids the current is carried by ions. Ions are charged particles (atoms or groups of atoms). Ions can either be positive or negative, the positive ions being attracted to the negative plate and the negative ions to the positive plate. A positive ion is a particle with some negative charge taken away and a negative ion is a particle with some extra negative charge added.

According to Ohm's law R=V/I​ 
Where R= resistance, V= Voltage, I= Current
Also R  is directly proportional to temperature T and inversely proportional to the slope.
∴ from the above example
R₁​∝T₁​ and R₂​∝T₂​
but from given figure R₁​<R₂​
∴T_1​<T₂