As shown in the figure, a block is placed in front of a convex lens. Choose the most appropriate image of the block from the following options:
Step 1: The image formation by a convex lens depends on the object's position relative to the focal point and the lens. - If the object is placed between the focus and the lens, the image formed will be virtual, upright, and magnified.
- If the object is placed beyond twice the focal length, the image formed will be real, inverted, and diminished.
Step 2: In this case, the block is placed in front of the convex lens at a distance beyond \( 2F \) (twice the focal length), so the image formed will be real, inverted, and diminished.
Step 3: According to the given options, the image that fits the description of a real, inverted, and diminished image is Option 2.
A current element X is connected across an AC source of emf \(V = V_0\ sin\ 2πνt\). It is found that the voltage leads the current in phase by \(\frac{π}{ 2}\) radian. If element X was replaced by element Y, the voltage lags behind the current in phase by \(\frac{π}{ 2}\) radian.
(I) Identify elements X and Y by drawing phasor diagrams.
(II) Obtain the condition of resonance when both elements X and Y are connected in series to the source and obtain expression for resonant frequency. What is the impedance value in this case?
Match the following: