A thermally insulated vessel contains some water at 0∘C. The vessel is connected to a vacuum pump to pump out water vapour. This results in some water getting frozen. It is given that the latent heat of vaporization of water at 0∘C is 21×105 J/kg and latent heat of freezing of water at 0∘C is 3.36×105 J/kg. The maximum percentage of water vapour that will be solidified in this manner will be -

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A stone is dropped into water from a bridge 44.1 m above the water. Another stone is thrown vertically downward 1 sec later. Both strike the water simultaneously. What was the initial speed of the second stone

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Two blocks of equal mass m are tied to each other through a light string. One of the blocks is pulled along the line joining them with a constant force F. Find the tension in the string joining the blocks.

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The skeleton of corals is formed of

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A thin equiconvex lens is made of glass of R.I 1.5 and its focal length is 0.2 If it acts a concave lens of 0.5 m focal length when dipped in a liquid, the R.I of liquid is

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A rope 1 cm in diameter breaks if the tension in it exceeds 500N. The maximum tension that may be given to a similar rope of diameter 2 cm is?

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If 2 moles of an ideal monoatomic gas at temperature T0 is mixed with 4 moles of another ideal monoatomic gas at temperature 2T0, then the temperature of the mixture is

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Airplanes A and B are in the same vertical plane and flying with constant velocity. At time t=0 sec, an observer in A finds B at a distance of 500 m and moving perpendicular to the line of motion of A. If at t=t0 sec, A just escapes being hit by B , t0 in seconds is

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A 40 kg girl is swinging on a swing from rest. Then, the power delivered when moving with a velocity of 2 m/s upwards in a direction making an angle 60∘ with the vertical is

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A quantity of air is taken from state a to state b along a path that is a straight line in the P-V diagram. In the previous question If Va = 0.0700 m3, Vb = 0.1100 m3, Pa = 1.00 × 105 Pa, and Pb = 1.40 ×105 Pa, what is the work W done by the gas in this process? Assume that the gas may be treated as ideal.

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Difference between integration and differentiation

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There are 2 indian couples, 2 american couple and 1 unmarried person List- IList-II(I)The total mumber of ways in which they can sit(P) 5760 in a row such that an indian wife and an american wife are always on either side of the unmarried person(Q) 24230(II)The total mumber of ways in which they can sit in a row such that the unmarried man alwaysoccupy the midddle position(R) 40320(III)The total mumber of ways in which they can sitaround a circular table such that indian wife and american wife are on either side of unmarried person(S) 1920(IV)The total number of ways in which they can sit in a row such that all couples sit together(T) 28410 1) Which of the following is only CORRECT combination?

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A thin square plate of side 3 m has mass 5 kg. Find the moment of inertia about axis AB as shown in figure.

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For an ideal gas, the slope of V−T graph during an adiabatic process is dVdT=−m at a point where volume and temperature are V0 and T0. Find the value of CP of the gas. It is given that m is a positive number.

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Consider two waves passing through the same string. Principle of superposition for displacement says that the net displacement of a particle on the string is sum of the displacements produced by the two waves individually. Suppose we state similar principles for the net velocity of the particle and the net kinetic energy of the particle. Such a principle will be valid for

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