GATE PH year:2026 PYQs & Answers — Page 7

Questions 61–65 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 7 of 7

A capacitor is made of two circular metal plates of radius 1 m separated by a distance of

mm. The space between them is filled by a dielectric with permittivity

. The capacitor is connected to a voltage

volts, where

is in seconds. The maximum value of the magnetic field in between the plates at a radial distance

m from the centre of the capacitor is

T. The value of

(rounded off to two decimal places) is _____

(Speed of light in vacuum

m.s

)

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Rotational spectrum of a diatomic molecule consists of lines of equal spacing with an interval of 20 cm

. Its moment of inertia is found to be

kg m

, the value of

(rounded off to one decimal place) is _____

(

J.s, speed of light in vacuum

m.s

)

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Copper has an electron number density of

. Its Fermi energy in eV (rounded off to one decimal place) is _____

(

J.s, mass of electron

kg, charge of electron =

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Two 1 kg blocks are connected to two massless springs of spring constants 8 N.m

and 4 N.m

. The system is kept on a frictionless horizontal floor with one end of a spring attached to a wall (see figure below). They are performing oscillatory motion along the

-axis with the normal mode frequencies

and

(

). The ratio

(rounded off to two decimal places) is _____.

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A 15 cm long scale is held horizontally with one of its ends on the edge of a 1 m high table and the other end resting on one’s index finger. As the finger is removed (see figure below), the scale starts rotating about its end on the table. After 0.1 s, during which it has rotated by a negligibly small angle but has gained a rotational speed as it leaves the table and falls vertically towards the ground. When its centre of mass has fallen by 0.5 m, it has rotated by an angle

. The value of

in degrees (rounded off to one decimal place) is _____

(

m.s

)

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GATE PH year:2026 PYQs

Question 61

Question 62

Question 63

Question 64

Question 65