EWT | Academic Question

Questions
Question (1)
QN0035150

A light and a heavy body have equal momentum. Which one has greater K.E.?

  • (A)

    The lighter body

  • (B)

    The heavier body

  • (C)

    Both have equal K.E.

  • (D)

    Data given is incomplete

Correct Answer: A
Explanation:

Since momentum of both bodies are equal

So  let

so

It means that light body has greater kinetic energy, if they. have equal momentum.

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Question (2)
QN0035151

A particle of mass  has momentum . Its kinetic energy will 

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: D
Explanation:

Let the velocity of the particle be .

Momentum of the particle

Kinetic energy of the particle

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Question (3)
QN0035152

Kinetic energy, with any reference, must be

  • (A)

    zero

  • (B)

    positive

  • (C)

    negative

  • (D)

    both (b) and (c)

Correct Answer: B
Explanation:

K.  It is always positive

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Question (4)
QN0035153

If the momentum of a body is increased by , then the percentage increase in its kinetic energy is

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: C
Explanation:

Initial momentum ; Final momentum  and initial kinetic energy .

Kinetic energy

or,  or, .

Therefore, increase in kinetic energy is  or .

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Question (5)
QN0035154

Four particles given, have same momentum. Which has maximum kinetic energy               

  • (A)

    Proton

  • (B)

    Electron (c)

  • (C)

    Deutron

  • (D)

    -particles

Correct Answer: B
Explanation:

[If  constant] i.e., the lightest particle will possess maximum kinetic energy and in the given option mass of electron is minimum.

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Question (6)
QN0035155

The K.E. acquired by a mass  in travelling a certain distance , starting form rest, under the action of a constant force is directly proportional to 

  • (A)

  • (B)

  • (C)

  • (D)

    independent of 

Correct Answer: D
Explanation:

 K.E.

Further,

Hence, K.E.

or, K.E. acquired  Work done  constant.

i.e., it is independent of mass .

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Question (7)
QN0035156

A running man has half the kinetic energy of that of a boy of half of his mass. The man speeds up by  so as to have same K.E. as that of the boy. The original speed of the man will be

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: C
Explanation:

Let  mass of boy,  mass of man

velocity of boy,  velocity of man

Putting  and solving

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Question (8)
QN0035157

In the given figure, the block of mass  is dropped from the point '  '. The expression for kinetic energy of block when it reaches point '  ' is :

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: D
Explanation:

By law of conservation of mechanical energy

and

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Question (9)
QN0035158

Two bodies  and  having masses in the ratio of  possess the same kinetic energy. The ratio of linear momentum of  to  is

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: C
Explanation:

As 

;

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Question (10)
QN0035159

A small body is projected in a direction inclined at  to the horizontal with kinetic energy . At the top of its flight, its kinetic energy will beA small body is projected in a direction inclined at  to the horizontal with kinetic energy . At the top of its flight, its kinetic energy will be

  • (A)

    Zero

  • (B)

  • (C)

  • (D)

Correct Answer: B
Explanation:

At the top of flight, horizontal component of velocity

 K.E. .

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