IIT-JEE Exam

In an experiment to determine the focal length (f) of a concave mirror by the u–v method, a student places the object
pin A on the principal axis at a distance x from the pole P. The student looks at the pin and its inverted image from a
distance keeping his/her eye in line with PA. When the student shifts his/her eye towards left, the image appears to the
right of the object pin. Then,
(A) x < f (B) f < x < 2f
(C) x = 2f (D) x > 2f

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IIT-JEE Other Question

A long, hollow conducting cylinder is kept coaxially inside another long, hollow conducting cylinder of larger radius.
Both the cylinders are initially electrically neutral.
(A) A potential difference appears between the two cylinders when a charge density is given to the inner cylinder.
(B) A potential difference appears between the two cylinders when a charge density is given to the outer cylinder.
(C) No potential difference appears between the two cylinders when a uniform line charge is kept along the axis of the
cylinders.
(D) No potential difference appears between the two cylinders when same charge density is given to both the
cylinders.
The largest wavelength in the ultraviolet region of the hydrogen spectrum is 122 nm. The smallest wavelength in the
infrared region of the hydrogen spectrum (to the nearest integer) is
(A) 802 nm (B) 823 nm
(C) 1882 nm (D) 1648 nm