IIT JEE 2009 PAPER 2 OFFLINE
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Two soap bubbles A and B are kept in a closed chamber where the air is maintained at pressure 8 N/m\(^2\). The radii of bubbles A and B are 2 cm and 4 cm, respectively. Surface tension of the soap-water used to make bubbles is 0.04 N/m. Find the ratio \(n_B/n_A\), where \(n_A\) and \(n_B\) are the number of moles of air in bubbles A and B, respectively. (Neglect the effect of gravity.)
The spin only magnetic moment value (in Bohr magneton units) of Cr(CO)\(_6\) is
Three objects A, B and C are kept in a straight line on a frictionless horizontal surface. These have masses m, 2m and m, respectively. The object A moves towards B with a speed 9 m/s and makes an elastic collision with it. Thereafter, B makes completely inelastic collision with C. All motions occur on the same straight line. Find the final speed (in m/s) of the object C.
At 400 K, the root mean square (rms) speed of a gas X (molecular weight = 40) is equal to the most probable speed of gas Y at 60 K. The molecular weight of the gas Y is ___________.
Then the number of such points for which \(x^2 + {y^2} + {z^2} \le 100\) is