GATE (Graduate Aptitude Test in Engineering) Physics: Questions 254 - 256 of 659

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Question 254

Appeared in Year: 2013

Question

MCQ▾

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

Choices

Choice (4)Response

a.

b.

c.

d.

Question 255

Appeared in Year: 2013

Question

MCQ▾

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 a conserved quantity

c.

and it is not a conserved quantity

d.

and it is not a conserved quantity

Question 256

Appeared in Year: 2011

Question

MCQ▾

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.

Work done in 1 cycle is

b.

c.

Entropy of the hotter reservoir decreases

d.

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

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