GATE (Graduate Aptitude Test in Engineering) Physics: Questions 255 - 257 of 659

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Question number: 255

» Classical Mechanics » Small Oscillations and Normal Modes

Appeared in Year: 2013

MCQ▾

Question

Consider two small blocks, each of mass , attached to two identical springs. One of the springs is attached to the wall, as shown in the figure. The spring constant of each spring is . The masses slide along the surface and the friction is negligible. The frequency of one of the normal modes of the system is –

Two small blocks of same mass are attached by spring

Two Small Blocks of Same Mass Are Attached by Spring

In figure two small blocks of same masses M, are attached by two identical springs.

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 256

» Classical Mechanics » Lagrange's and Hamilton's Formalisms

Appeared in Year: 2013

MCQ▾

Question

The Lagrangian of a system with one degree of freedom is given by , where and are non –zero constants. If denotes the canonical momentum conjugate to then which one of the following statements is CORRECT?

Choices

Choice (4) Response

a.

and it is a conserved quantity

b.

and it is not a conserved quantity

c.

and it is not a conserved quantity

d.

and it is a conserved quantity

Question number: 257

» Thermodynamics and Statistical Physics » Laws of Thermodynamics

Appeared in Year: 2011

MCQ▾

Question

A Carnot cycle operates on a working substance between two reservoirs at temperatures and with . During each cycle an amount of heat is extracted from the reservoir at and an amount is delivered to the reservoir at . What of the following statements is incorrect?

Choices

Choice (4) Response

a.

Entropy of the hotter reservoir decreases

b.

Work done in 1 cycle is

c.

d.

Entropy of the universe (consisting of the working substance and the two reservoirs) increases

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