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Questions

### Physics

A small sphere rolls down without slipping from the top of a track in a vertical plane. The track has an elevated section and a horizontal part. The horizontal part is 1.0 m above the ground and the top of the track is 2.4 m above the ground. Find the distance on the ground with respect to point B [which is vertically below the end A of the track as shown in fig.] where the sphere lands. During its flight as a projectile, does the sphere continue to rotate about its centre of mass? Explain.

### Chemistry

Multiple Choice Question
The difference between heats of reaction at constant pressure and constant volume for the reaction
2C6H6(I) + 15O2(g) 12CO2(g) + 6H2O(I) at 25oC in kJ mol-1 is
 (a) -7.43 (b) 3.72 (c) -3.72 (d) 7.43

### Mathematics

Column Matching
The set of value(s) of k R for which
 (i) kx2 - (k + 1)x + 2k - 1 = 0 has no real roots (a) {1, -2} (ii) x2 - 2(4k - 1)x + 15k2 - 2k - 7 > 0 for each x (b) (- , -17) (1, ) (iii) Sum of the roots of x2 + (2 - k - k2)x - k2 = 0 is zero (c) {-4} (iv) The roots of x2 + (2k - 1)x + k2 + 2 = 0 are in the ratio 1 : 2 (d) (2, 4)
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