A diatomic ideal gas is used in a Carnot engine as the working s

Subject

Physics

Class

JEE Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

1.

STATEMENT – 1
Two particles moving in the same direction do not lose all their energy in a completely inelastic collision.
STATEMENT – 2
Principle of conservation of momentum holds true for all kinds of collisions.

  • The statement I is True, Statement II is False.

  • The statement I is True, Statement II is True; Statement II is a correct explanation for Statement I.

  • The statement I is True, Statement II is True; Statement II is not the correct explanation for Statement I.

  • The statement I is True, Statement II is True; Statement II is not the correct explanation for Statement I.

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2.

A particle is moving with velocity,straight v space equals space straight k left parenthesis straight y space bold i with hat on top space plus space straight x space bold j with hat on top right parenthesis where K is a constant. The general equation for its path is

  • y = x2 + constant

  • y2 =  x + constant

  • xy = constant

  • xy = constant

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3.

The figure shows the position –time (x – t) graph of one–dimensional motion of a body of mass 0.4 kg. The magnitude of each impulse is

  • 0.4 (Ns)

  • 0.8 Ns

  • 1.6 Ns

  • 1.6 Ns

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4.

The respective number of significant figures for the numbers 23.023, 0.0003 and 2.1 × 10–3 are

  • 5,1,2

  • 5,1,5

  • 5,5,2

  • 5,5,2

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5.

A point p moves in counter -clockwise direction on a circular path as shown in the figure. The movement of P is such that it sweeps out the length s = t3 + 5, where s is metre and t is in second. The radius of the path is 20 m. The acceleration of P when t =2 s is nearly

  • 13 ms-2

  • 12 ms-2

  • 7.2 ms-2

  • 7.2 ms-2

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6.

Two fixed frictionless inclined planes making an angle 30° and 60° with the vertical are shown in the figure. Two blocks A and B are placed on the two planes. What is the relative vertical acceleration of A with respect to B?

  • 4.9 ms-2 in horizontal direction

  • 9.8 ms-2 in vertical direction

  • zero

  • zero

453 Views

7.

For a particle in uniform circular motion, the acceleration an at straight a with rightwards arrow on top point P (R, θ) on the circle of radius R is (Here θ is measured from the x–axis)

  • negative straight v over straight R space cos space straight theta space bold i with bold hat on top space plus space straight v squared over straight R space sin space straight theta space bold j with bold hat on top
  • negative straight v over straight R space sin space straight theta space bold i with bold hat on top space plus space straight v squared over straight R space cos space straight theta space bold j with bold hat on top
  • negative straight v over straight R space cos space straight theta space bold i with bold hat on top space minus space straight v squared over straight R space sin space straight theta space bold j with bold hat on top
  • negative straight v over straight R space cos space straight theta space bold i with bold hat on top space minus space straight v squared over straight R space sin space straight theta space bold j with bold hat on top
675 Views

8.

A small particle of mass m is projected at an angle θ with the x–axis with an initial velocity v0 in the x–y plane as shown in the figure. At a time t<vosin/g, the angular momentum of the particle is

  • negative mgv subscript straight o space straight t squared space cos space straight theta space bold j with bold hat on top
  • mgv subscript 0 straight t space cos space straight theta space bold k with bold hat on top
  • negative 1 half space mgv subscript 0 straight t squared space cos space straight theta bold space bold k with bold hat on top bold space
  • negative 1 half space mgv subscript 0 straight t squared space cos space straight theta bold space bold k with bold hat on top bold space
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9.

A ball is made of a material of density ρ where ρoil < ρ < ρwater with ρoil and ρwater representing the densities of oil and water, respectively. The oil and water are immiscible. If the above ball is in equilibrium in a mixture of this oil and water, which of the following pictures represents its equilibrium position?

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10.

A diatomic ideal gas is used in a Carnot engine as the working substance. If during the adiabatic expansion part of the cycle the volume of the gas increases from V to 32 V,the efficiency of the engine is

  • 0.5

  • 0.75

  • 0.99

  • 0.99


B.

0.75

because space PV to the power of straight gamma space equals space constant
TV to the power of straight gamma minus 1 end exponent space equals space Constant
rightwards double arrow space straight T subscript straight b straight V subscript straight b superscript straight gamma minus 1 end superscript space equals space space straight T subscript straight c straight V subscript straight c superscript straight gamma minus 1 end superscript
rightwards double arrow space straight T subscript straight b over straight V subscript straight c space equals space open parentheses straight V subscript straight c over straight V subscript 0 close parentheses to the power of straight gamma minus 1 end exponent space equals space open parentheses fraction numerator 32 space straight V over denominator straight V end fraction close parentheses to the power of 7 over 5 minus 1 end exponent
space equals space left parenthesis 2 to the power of 5 right parenthesis to the power of 2 over 5 end exponent
straight T subscript straight b space equals space 4 straight T subscript straight c space equals space 4
straight i. straight e. comma space 1 minus straight T subscript straight c over straight T subscript straight b space equals space 1 minus 1 fourth space equals space 3 over 4
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