GATE PH topic:applied-physics PYQs & Answers — Page 7

Questions 61–70 of 650. Imported answers require independent review unless marked reviewed.

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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Is there any good show ______ television tonight?

Select the most appropriate option to complete the above sentence.

Your answerChoose one option.

within

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As the police officer was found guilty of embezzlement, he was ______ dismissed from the service in accordance with the Service Rules.

Select the most appropriate option to complete the above sentence.

Your answerChoose one option.

sumptuously

brazenly

unintentionally

summarily

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The sum of the following infinite series is:

Your answerChoose one option.

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A thin wire is used to construct all the edges of a cube of 1 m side by bending, cutting and soldering the wire. If the wire is 12 m long, what is the minimum number of cuts required to construct the wire frame to form the cube?

Your answerChoose one option.