IIT-JEE Exam

A biconvex lens of focal length 15 cm is in front of a plane mirror. The distance between the lens and the
mirror is 10 cm. A small object is kept at a distance of 30 cm from the lens. The final image is
(A) virtual and at a distance of 16 cm from the mirror
(B) real and at a distance of 16 cm from the mirror
(C) virtual and at a distance of 20 cm from the mirror
(D) real and at a distance of 20 cm from the mirror.

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IIT-JEE Other Question
A Vernier calipers has 1 mm marks on the main scale. It has 20 equal divisions on the Vernier scale which
match with 16 main scale divisions. For this Vernier calipers, the least count is
(A) 0.02 mm (B) 0.05 mm
(C) 0.1 mm (D) 0.2 mm. A hollow pipe of length 0.8 m is closed at one end. At its open end a 0.5 m long uniform string is vibrating
in its second harmonic and it resonates with the fundamental frequency of the pipe. If the tension in the wire
is 50 N and the speed of sound is 320 ms–1, the mass of the string is
(A) 5 grams (B) 10 grams
(C) 20 grams (D) 40 grams.