Physics - (PH) 2018 GATE Paper (Practice Test) - GATE MCQ

The area of an equilateral triangle is √3. What is the perimeter of the triangle?

Arrange the following three-dimensional objects in the descending order of their volumes:
(i) A cuboid with dimensions 10 cm, 8 cm and 6 cm
(ii) A cube of side 8 cm
(iii) A cylinder with base radius 7 cm and height 7 cm
(iv) A sphere of radius 7 cm

An automobile travels from city A to city B and returns to city A by the same route. The speed of the vehicle during the onward and return journeys were constant at 60 km/h and 90 km/h, respectively. What is the average speed in km/h for the entire journey?

A set of 4 parallel lines intersect with another set of 5 parallel lines. How many parallelograms are formed?

To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of 6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000 candidates. Question B was answered correctly by 2,50,000 candidates. Question C was answered correctly by 2,60,000 candidates. Both questions A and B were answered correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. If the number of students answering all questions correctly is the same as the number answering none, how many candidates failed to clear the test?

The value of the integral given below is

In a detailed study of annual crow births in India, it was found that there was relatively no growth during the period 2002 to 2004 and a sudden spike from 2004 to 2005. In another unrelated study, it was found that the revenue from cracker sales in India which remained fairly flat from 2002 to 2004, saw a sudden spike in 2005 before declining again in 2006. The solid line in the graph below refers to annual sale of crackers and the dashed line refers to the annual crow births in India. Choose the most appropriate inference from the above data.

The eigenvalues of a Hermitian matrix are all

Which one of the following represents the 3p radial wave function of hydrogen atom? (a₀ is the Bohr radius)

Given the following table,

which one of the following correctly matches the experiments from Group I to their inferences in Group II?

In spherical polar coordinates (r, ��, ��), the unit vector

The scale factors corresponding to the covariant metric tensor g_ij in spherical polar coordinates are

In the context of small oscillations, which one of the following does NOT apply to the normal coordinates?

For the given unit cells of a two dimensional square lattice, which option lists all the primitive cells?

Among electric field  magnetic field angular momentum and vector potential which is/are odd under parity (space inversion) operation?  

The expression for the second overtone frequency in the vibrational absorption spectra of a diatomic molecule in terms of the harmonic frequency ω_e and anharmonicity constant e_x is

Match the physical effects and order of magnitude of their energy scales given below, where  is fine structure constant; m_e and m_p are electron and proton mass, respectively.

The logic expression  can be simplified to

At low temperatures (T), the specific heat of common metals is described by (with α and β as constants)  

In a 2-to-1 multiplexer as shown below, the output  

Which one of the following is the correct implementation of this multiplexer?

The elementary particle  E⁰ is placed in the baryon decuplet, shown below, at

The intrinsic/permanent electric dipole moment in the ground state of hydrogen atom is (a₀ is the Bohr radius)

The high temperature magnetic susceptibility of solids having ions with magnetic moments can be described by  as absolute temperature and �� as constant.  The three behaviors i.e. paramagnetic, ferromagnetic and anti-ferromagnetic are described, respectively, by

Which one of the following is an allowed electric dipole transition?

In the decay,

A spaceship is travelling with a velocity of 0.7c away from a space station. The spaceship ejects a probe with a velocity 0.59c opposite to its own velocity. A person in the space station would see the probe moving at a speed Xc, where the value of X is ________ (up to three decimal places).

For an operational amplifier (ideal) circuit shown below,

if V₁ = 1 V and V₂ = 2 V, the value of V₀ is ________V (up to one decimal place).