The plot of log A vs time t, where A is activity as shown in the figure, corresponds to decay<br><img src="/images/question-image/engineering-physics/nuclear-and-particle-physics/1689672505-the-plot-of-log-a-vs-time-t.png" title="Nuclear and Particle Physics mcq question image" alt="Nuclear and Particle Physics mcq question image">

The selling price of plot is directly proportional to the square of area of plot in m2. If the cost price of square shaped plot is Rs. 50000 and the profit percent of a dealer is 25% on selling square shaped plot then find the cost price of rectangular shaped plot if the dealer gains 50% on selling of rectangular plot where the length and breadth of rectangular plot is 30 m and 20 m while the side length of square plot is 20 m.

A

Rs. 93750

B

Rs. 95750

C

Rs. 94550

D

Rs. 95850

Two dielectric materials A and B exhibit both ionic and orientational polarizabilities. The variation of their susceptibilities $$\chi \left( { = {\varepsilon _r} - 1} \right)$$ with temperature T is shown in the figure, where $${\varepsilon _r}$$ is the relative dielectric constant. It can be inferred from the figure that
Solid State Physics mcq question image

A

A is more polar and it has a smaller value of ionic polarizability than that of B

B

A is more polar and it has a higher value of ionic polarizability than that of B

C

B is more polar and it has a higher value of ionic polarizability than that of A

D

B is more polar and it has a smaller value of ionic polarizability than that of A

The dependences of the magnetic susceptibility $$\left( \chi \right)$$ of a material with temperature (T) can be represented by $$\chi \propto \frac{1}{{T - \theta }},$$ where θ is the Curie-Weiss temperature. The plot of magnetic susceptibility versus temperature is sketched in the figure, as curves P, Q and R with curve Q having θ = 0. Which one of the following statements is correct?
Solid State Physics mcq question image

A

Curve R represents a paramagnet and Q a ferromagnetic field

B

Curve Q represents a ferromagnet and P an antiferromagnet

C

Curve R represents an antiferromagnet and Q a paramagnet

D

Curve R represents an antiferromagnet and Q a ferromagnet

In a diatomic molecule, the inter-nuclear separation of the ground and first excited electronic state are the same as shown in the figure. If the molecule is initially in the lowest vibrational state of the ground state, then the absorption spectrum will appear as
Atomic and Molecular Physics mcq question image

Atomic and Molecular Physics mcq question image

A

B

C

D

A piston containing an ideal gas is originally in the state X (see figure). The gas is taken through a thermal cycle X → Y → X as shown
Thermodynamics and Statistical Physics mcq question image

Thermodynamics and Statistical Physics mcq question image

The work done by the gas is positive, if the direction of the thermal cycle is

A

clockwise

B

counter-clockwise

C

neither clockwise nor counter-clockwise

D

clockwise from X → Y and counter-clockwise from Y → X

The temperature dependence of the electrical conductivity σ of two intrinsic semiconductors A and B is shown in the figure. If E_A and E_B are the band gaps of A and B respectively, which one of the following is true?
Solid State Physics mcq question image

A

E_A > E_B

B

E_A B

C

E_A = E_B

D

E_A and E_B both depend on temperature

In crystallographic notations, the vector $$\overrightarrow {{\bf{OP}}} $$ in the cubic cell shown in the figure is
Solid State Physics mcq question image

Five energy levels of a system including the ground state are shown below. Their lifetimes and the allowed electric dipole transitions are also marked.
Atomic and Molecular Physics mcq question image

Which one of the following transitions is the most suitable for a Continuous Wave (CW) laser?

A

1 → 0

B

2 → 0

C

4 → 2

D

4 → 3

A particle with energy E is in a time independent double well potential as shown in the figure. Which, of the following statements about the particle is not correct?
Quantum Mechanics mcq question image

A

The particle will always be in a bound state

B

The probability of finding the particle in one well will be time dependent

C

The particle will be confined to anyone of the wells

D

The particle can tunnel from one well to the other and back

Variation of electrical resistivity $$\rho $$ with temperature T of three solids is sketched (on different scales) in the figure, as curves P, Q and R.
Which one of the following statements describes the variations most appropriately?
Solid State Physics mcq question image

A

P is for a superconductor and R for a semiconductor

B

Q is for a superconductor and P for a conductor

C

Q is for a superconductor and R for a conductor

D

R is for a superconductor and P for a conductor

The plot of log A vs time t, where A is activity as shown in the figure, corresponds to decay

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