A mass-spring system is used to model the vibrations of a building during an earthquake. How can the natural frequency of the system be tuned to reduce the risk of resonance with earthquake frequencies?
CUET PG 2024 Question Paper Physics Shift-2 (14th March)
For the following questions answer them individually
If a Si wafer with an intrinsic carrier concentration of $$10^{10} cm^{-3}$$ is doped with $$5 \times 10^{15} cm^{-3}$$ Phosphorus(P) and $$10^{16} cm^{-3}$$ Boron(B) at room temperature (300 K), then what is the doping in the resultant silicon?
An AC circuit consists of a resistor (R), a capacitor (C). and an inductor (L) in series. What is the power factor of this circuit?
If the temperature. of the source is increased, the efficiency of Carnot engine:
Arrange the following differential equations in ascending order in accordance to degree
A. $$\left[1 + \left(\frac{dy}{dx}\right)^{2}\right]^{\frac{3}{2}} = \frac{d^{2}y}{dx^{2}}$$
B. $$\left(\frac{dy}{dx}\right)^{5} + y = 0$$
C. $$ \frac{d^{2}y}{dx^{3}} + a^{2}x = 0$$
D. $$ x^{2} \left(\frac{d^{3}y}{dx^{2}}\right)^{3} +y\left(\frac{dy}{dx} \right)^{4}+ y^{4} = 0$$
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The zero point energy of harmonic oscillator is:
If $$J = \frac{\partial{(u, v)}}{\partial(x, y)}$$ and $$J' = \frac{\partial{(x, y)}}{\partial(u, v)}$$, then JJ' is equal to
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Arrange the following ferromagnetic materials in Ascending order of Curie temperatures:
(A). Cobalt
(B). Gadolinium
(C). Iron
(D). Nickel
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Gauss's law is valid for
When the phase velocity of an electromagnetic wave depends on frequency in any medium, the phenomenon is called
Arrange the viscosities of the following fluids in descending order
A. Glycerine
B. Honey
C. Machine oil
D. Blood
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The vector $$r^{n}$$ $$\overrightarrow{r}$$ is solenoidal , if
A block moving in air breaks in two parts and the pads separate: Consider the following correct statements
(A). The total momentum must be conserved
(B). The total kinetic energy must be conserved
(C). The total momentum must change
(D). The total kinetic energy must be changed
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Two particles are moving in opposite directions each other with a speed of 0.9 c in laboratory frame of reference. The relative velocity of one particle to other is:
Find the wavelength shift in the relativistic Doppler effect for the H$$\alpha$$ (6563A) line emitted by a star receding from the earth with a relative velocity 0.1 c.
In a heat engine based on the carnot cycle, heat is added to the working substance at constant
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A parallel beam light with wave length $$\lambda$$ is incident normally on a thin film of thickness t. The condition for observed bright rings,
If $$\overrightarrow{A} = ax\hat{i}+by\hat{j}+cz\hat{k}$$ where a, b, c are constants, then $$\int_{}^{} \int_{S} \overrightarrow{A}.d\overrightarrow{S}$$ wher S is the surface of a unit sphere, is
The Fermi level in an n-type semiconductor at OK lies
A satellite is revolving round the earth with a speed of 7.6 km/s. What is your estimation of the height of the satellite from the earth surface, consider the mass of the earth $$= 6.10^{24}$$ kg and radius of the earth = 6400 km
The maximum number of intensity minima that can be observed in the Fraunhofer diffraction pattern of a single slit (width 10 $$\mu$$ m) illuminated by laser beam (wavelength 0.630 $$\mu$$m) will be
Consider the following statements:
(A). The output of a linear OP-amp circuit has the same shape as the input signal.
(B). At no time during the cycle does the OP-amp go into saturation.
(C). Non-inverting amplifier possess low input impedance and high output impedance.
(D). One advantage of inverting amplifier is that its voltage gain equals the ratio of the feedback resistance to the input resistance.
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Arrange the following in ascending order of energy
(A). Radio waves
(B). Microwaves
(C). Infrared ray
(D). X-rays
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If $$\overrightarrow{r} = x \hat{i} + y \hat{j} + z \hat{k}$$ is position vector.
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Arrange the following substance in descending order of specific heat
(A). Aluminium
(B). Carbon
(C). Copper
(D . Lead
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Arrange the gravitational potential of a point mass (M) in ascending order for the following distance from a point:
(A). 2r
(B). 4r
(C). 8r
(D). 16r
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Which of the following are correct statements about logic gates and their combinations:
(A). The output of an EX-OR gate is a logic '1' when the inputs are unlike and a logic '0' when the inputs are like.
(B). The output of a NAND gate is a logic '1' when all its inputs are a logic '1'.
(C). The output of a two-input EX-NOR gate is a logic 'l' when the inputs are like and a logic '0' when they are unlike
(D). The shorting the inputs of a NOR gate gives a NOT circuit.
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Let's consider nitrogen gas obeys the Van der Waals equation of state with best fit value of the parameters $$a = 0.14Pa.m^{6} / mol^{2}$$ and $$b = 39.0 cm^{3} / mol$$ Estimate approximate diameter of the nitrogen gas molecules. Assume each molecule is a
sphere.
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A system consists of two phases maintained at constant temperature (T) and pressure (p). The number of moles present in phase 1 and phase 2 of the system is represented by n i (where i = 1,2) and Gibbs free energy per mole of phase i at this temperature and pressure is $$g_{i}$$ (T,p). The necessary condition for equilibrium:
The law governing the force between electric charges is known as
Choose the incorrect statements:
(A). A particle can travel in free space faster than the velocity of light in free space.
(B). A particle can travel in a material medium faster than the velocity of light in free space.
(C). A particle can not travel in the material medium.
(D). The velocity of light in free space is an absolute constant.
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Select the correct alternative (s): The heavier of the two particles has smaller de-Broglie wavelength when both of them:
(A). move with same velocity
(B). move with same momentum
(C). move with same kinetic energy
(D). fall through same height
According to Schrodinger a particle is equivalent to :
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Internal energy (U), Specific heats ($$C_{v}, C_{p}$$), Enthalpy (H). Helmholtz free energy (F) and Gibbs free energy (G) are the thermodynamic variables.
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The cyclotron frequency ($$\omega$$) at which a particle of mass m and charge q would revolved in the absence of any eletric field (E).
The conservation of linear momentum leads to Newton's
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If the ratio of isothermal and adiabatic elasticities is $$\frac{E_{S}}{E_{T}}$$ then which of the
following are not true?
A. $$\frac{E_{S}}{E_{T}} = \frac{C_{P}}{C_{V}}$$ $$
B. $$\frac{E_{S}}{E_{T}} = \frac{C_{V}}{C_{P}}$$ $$
C. $$\frac{E_{S}}{E_{T}} = C_{P} - C_{V}$$
D. $$\frac{E_{S}}{E_{T}} = C_{P} C_{V}$$
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In a transistor, the emitter-base depletion layer is narrower than the collector-base depletion layer. The reason can be attributed to
The ratio of charge (q) to potential (V) of a body is known as
An electron moving towards x-axis. An electric field is along y-direction then path of electron is
For a BJT, assume that $$V_{BE}$$ varies between 0.6 and 0.8 V from cutoff to saturation.
Determine the percentage change in $$V_{CE}$$ if $$V_{CB}$$ is maintained constant at 5 V?
According to Kepler's laws, the square of the orbital period T of a planet is proportional to
Arrange following gases for ascending order of the $$C_{P} / C_{v}$$:
(A) $$Ar$$
(B) $$Ne$$
(C) $$H_{2}$$
(D) $$H_{2}O$$
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In an inelastic collision
The following particle are moving with the same velocity, arrange their associated de-Broglie wavelength in increasing order:
(A). electron
(B). proton
(C). neutron
(D). $$\alpha$$-particle
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The physical significance of the quality factor (Q) in a damped oscillator is:
Let $$N_{MB} : N_{BE}: N_{FD}$$ denote the number of ways in which two particles can be distributed in two energy states according to Maxwell-Boltzmann, Bose-Einstein and Fermi-Dirac statistics respectively. then $$N_{MB} : N_{BE}: N_{FD}$$ is
What is the phase difference between the driving force and the velocity in a forced harmonic oscillator at resonance?
Which one of the following pairs of phenomena illustrates the particle aspect of wave particle duality?
The determinant $$\begin{vmatrix}\mathbf{1} & \mathbf{3} & \mathbf{7} \\ \mathbf{4} & \mathbf{9} & \mathbf{1} \\ \mathbf{2} & \mathbf{7} & \mathbf{6}\end{vmatrix}$$ is
Solution
$$1 \times \begin{vmatrix} 9 & 1 \\ 7 & 6 \end{vmatrix} = 1 \times (9 \times 6 - 7 \times 1) = 1 \times (54 - 7) = \mathbf{47}$$
$$-3 \times \begin{vmatrix} 4 & 1 \\ 2 & 6 \end{vmatrix} = -3 \times (4 \times 6 - 2 \times 1) = -3 \times (24 - 2) = -3 \times 22 = \mathbf{-66}$$
$$7 \times \begin{vmatrix} 4 & 9 \\ 2 & 7 \end{vmatrix} = 7 \times (4 \times 7 - 2 \times 9) = 7 \times (28 - 18) = 7 \times 10 = \mathbf{70}$$
The determinant = 47 - 66 + 70 = 51.
The reversible engine and an irreversible engine are working between the same temperatures. The efficiency of:
Arrange the following in the correct sequence of chronological order:
A. Bernoulli's theorem
B. Conservation of energy
C. Newton's law of motion
D. Kepler's laws
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Arrange the following materials in the descending order of resistivity:
(A). Aluminium
(B). Copper
(C). Silver
(D). Tungsten
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If $$u = \log \frac{x^{2}}{y}$$, then $$\frac{\partial u}{\partial x} + y\frac{\partial u}{\partial y}$$ is equal to
If the frequency of an AC circuit is increased. what happens to the inductive reactance ($$X_{L})$$ of an inductor?
Arrange the following in ascending order in accordance to coordination number
(A). Face centered cubic structured Au
(B). Body centered cubic structured Na
(C). Diamond
(D). NaCl
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The angle between the dipole moment and electric field at any point on the equatorial plane is
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Consider a solid cylinder of mass M and radius R. What will be the moment of inertia on the surface of the cylinder.
Two planets $$P_{1}$$ and $$P_{2}$$ having masses $$M_{1}$$ and $$M_{2}$$ revolve around the sun in elliptical orbits with time period $$T_{1}$$ and $$T_{2}$$ respectively. the minimum and maximum distances of planets $$P_{1}$$ from the sun are R and 3R respectively. Whereas for planet $$P_{2}$$, these are 2R and 4R respectively. Where R is the constant. Assuming $$M_{1}$$ and $$M_{2}$$ are much smaller than the mass of the sun. the magnitude of $$T_{2}/T_{1}$$ is
Find the force of attraction between two balls each of mass 1kg when their centers are 10cm apart?
Which of the following statements about Lissajous figures is TRUE?
Determine the decimal equivalent of $$(1100.1011)_{2}$$
The door of a running refrigerator inside a room is left open. Choose the incorrect statements:
(A) the room will be cooled slightly
(B) the room will be warmed up gradually
(C) the room will be cooled to the temperature inside the refrigerator
(D) the temperature of the room will remain unaffected
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The equation $$(x^{2}y - 2xy^{2})dx + 3x^{2}y - x^{3} = 0$$
(A . is exact.
(B). is inexact.
(C). The solution is $$\frac{y}{x} - 2 \log x + 3 \log y = Constant$$
(D). he solution is $$\frac{x}{y} - 2 \log x + 3 \log y = Constant$$
Choose the correct answer from the option given below.
The argument of (- 1 - i) is
In sound waves, which property is determined by the amplitude of the wave?
A and B are two matrices of the same order. If AB = 0 and BA # 0, then necessarily
(A). $$A = 0$$
(B). $$A \neq 0$$
(C). $$B = 0$$
(D). $$B \neq 0$$
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