Daily Question Banks for Engineering Entrance and Board Exams

Questions
Physics
A thin equiconvex lens of glass of refractive index =3/2 and of focal length 0.3 m in air is sealed into an opening at one end of a tank filled with water ( =4/3). On the opposite side of the lens, a mirror is placed inside the tank on the tank wall perpendicular to the lens axis, as shown in figure.The separation between the lens and the mirror is 0.8 m. A small object is placed outside the tank in front of the lens at a distance of 0.9 m from the lens along its axis. Find the position(relative to lens)of the image of the object formed by the system

Chemistry
The molecule which has zero dipole moment is :
(a) CH2Cl2 (b) BF3 (c) NF3 (d) ClO2

Mathematics
An unbiased coin is tossed. If the result is a head, a pair of unbiased dice is rolled and the number obtained by adding the numbers on the two faces is noted. If the result is a tail, a card from a well shuffled pack of eleven cards numbered 2, 3, 4.......12 is picked and the number on the card is noted.What is the probability that the noted number is either 7 or 8 ?
 
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