`{:(,"अ",,"ब"),(1.,W," "(a),T_(2)/(T_(1)-T_(2))),(2.,PV," "(b),RT),(3.,(P+a/V^(2))(V-b)," "(c),JH),(4.,eta," "(d),nRT),(5.,beta," "(e),1-T_(2)/T_(1)):}`

The velocity-time graph of a particle in one-dimensional motion is shown in Fig.: (a) Which of the following formulae are correct for describing the motion of the particle over the time-interval t_(1) to t_(2) : (a) x(t_(2)) = x(t_(1)) + v (t_(1)) (t_(2) - t_(1)) + (1//2) a (t_(2) - t_(1))^(2) (b) v(t_(2)) = v(t_(1)) + a (t_(2) - t_(1)) (c) v_("average") = (x (t_(2)) - x(t_(1)))//(t_(2) - t_(1)) (d) a_("average") = (v(t_(2)) - v(t_(1)))//(t_(2) - t_(1)) (e) x(t_(2)) = x(t_(1)) + v_("average") (t_(2) - t_(1)) + (1//2) a_("average") (t_(2) - t_(1))^(2) (f) x(t_(2)) - x(t_(1)) = area under the v - t curve bounded by the t-axis and the dotted line shown.

The velocity - time graph of a particle in one dimensional motion is shown in figure. Which of the following formulae are correct for describing the motion of the particle over the time- interval t _(1) to t _(2) : (a) x (t _(2)) = x (t _(1)) +v (t _(2) - t _(1)) + ((1)/(2)) a (t _(2) - t _(1)) ^(2) (b) v (t_(2)) = v (t_(1)) + a (t _(1)))//(t_(2) -t _(1)) (C) v _("average")= (x (t _(2)) -x (t _(1)))//(t_(2) -t _(1)) (d) a _("average")= (v(t _(2)) - v (t _(1))) //(t_(2) -t _(1)) (e) x (t _(2))=x(t_(1)) + v _("average") (t _(2) - t _(1)) + ((1)/(2)) a _("average") (t _(2) -t _(1)) ^(2) (f) c (t _(2)) - c (t _(1)) = area under the v-t curve bonunded by the t -axis and the dotted line shown.

For any arbitrary motion in space, which of the following relations are true? (a) v_("average") = (1//2)(v(t_(1)) + v(t_(2))) (b) v_("average") = [r(t_(2))-r(t_(1)]//(t_(2)-t_(1)) (c) v(t) = v(0) + at (d) a_("average") = [v(t_(2))-v(t_(1))]//(t_(2)-t_(1)) The average stands for average of the quantity over time interval t_(1) to t_(2)

Establish gas equation, (P_(1)V_(1))/(T_(1))=(P_(2)V_(2))/(T_(2)) .

A gas with C_(P)//C_(V) = goes from an initial state (P_(1), V_(1), T_(1)) to a final state (P_(2), V_(2), T_(2)) through an adiabatic process. The work done by the gas is a) nR((T_(1)-T_(2)))/(gamma-1) b) (P_(1)V_(1)-P_(2)V_(2))/(gamma-1) c) nRgamma(T_(1)-T_(2))

For any arbitrary motion in space, which of the following relations are true? a) v_("average") = (1//2)(v(t_(1) + v(t_(2)) b) v_("average") = [r(t_(2))-r(t_(1)]/(t_(2)-t_(1) v(t) = v(0) + at d) a_("average") = [v(t_(2))-v(t_(1))/[t_(2)-t_(1)) The average stands for average of the quantity over time interval t_(1) to t_(2)