A point object is placed at a distance of 30 cm from a convex mirror of focal length 30 cm. The image will form at

(a) infinity

(b) pole

(c) focus

(d) 15 cm behind the mirror.


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(d) 15 cm behind the mirror.

EXPLANATION: 

The option can be selected by suitable reasoning. In a convex mirror, the object at infinity has its image at the focus behind the mirror. So option (c) is not correct because the object here is not at infinity.     

The image in a convex mirror never forms at infinity. The option (a) is not correct.      

The image will be near the pole if the object is near the pole, which is not the case here. The option (b) is not correct.        

The only option left is (d) and the image position is between focal length and the pole for the object between infinity and the pole. Hence the option (d) is correct.