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In the figure shown a point object \( O \) is placed in air on the principal axis. The radius of curvature of the spherical surface is \( 60 \mathrm{~cm} . I_{f} \) is the final image formed after all the refractions and reflections.
1) If \( d_{1}=120 \mathrm{~cm} \), then \( I_{f} \) is formed on \( O \) for any value of \( d_{2} \).
2) If \( d_{1}=240 \mathrm{~cm} \), then \( I_{f} \) is formed on \( O \) only if \( d_{2}=360 \mathrm{~cm} \).
3) If \( d_{1}=240 \mathrm{~cm} \), then \( I_{f} \) is formed on \( O \) for all values of \( d_{2} \)
4) If \( d_{1}=240 \mathrm{~cm} \), then \( I_{f} \) cannot be formed on \( O \) .
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