Spherical Surface and Lenses, Lens Formula, Magnification, Combination of Lens.
Ray Optics

282483 The given lens is broken into four parts and rearranged as shown. If the initial focal length is \(f\) then after rearrangement the equivalent focal length is -

1 \(\mathrm{f}\)
2 \(f / 2\)
3 \(\mathrm{f} / 4\)
4 \(4 \mathrm{f}\)
Ray Optics

282498 A bi - convex lens made of glass (refractive index 1.5 ) is put in a liquid of refractive index 1.7. Its focal length will :

1 decrease and change sign
2 increase and change sign
3 decrease and remain of the same sign
4 increase and remain of the same sign
Ray Optics

282484 A lens having focal length \(f\) and aperture of diameter \(d\) forms an image of intensity \(I\). Aperture of diameter \(\frac{d}{2}\) in central region of lens is covered by a black paper. Focal length of lens and intensity of image now will be respectively:

1 \(f\) and \(\frac{\mathrm{I}}{4}\)
2 \(\frac{3 f}{4}\) and \(\frac{\mathrm{I}}{2}\)
3 \(f\) and \(\frac{3 I}{4}\)
4 \(\frac{f}{2}\) and \(\frac{\mathrm{I}}{2}\)
Ray Optics

282485 A thin plano-convex lens of focal length \(f\) is split into two halves: one of the halves is shifted along the optical axis. The separation between object and image planes is \(1.8 \mathrm{~m}\). The magnification of the image formed by one of the half-lenses is 2 . If \(f\) and \(d\) be the focal-length of the lens and separation between the two halves respectively then,

1 \(f=0.4 \mathrm{~m}\)
2 \(f=0.6 \mathrm{~m}\)
3 \(d=0.5 \mathrm{~m}\)
4 \(d=0.9 \mathrm{~m}\)
Ray Optics

282486 A biconvex lens has a radius of curvature of magnitude \(20 \mathrm{~cm}\). Which one of the following options best describe the image formed of an object of height \(2 \mathrm{~cm}\) placed \(30 \mathrm{~cm}\) from the lens?

1 Virtual, upright, height \(=1 \mathrm{~cm}\)
2 Virtual, upright, height \(=0.5 \mathrm{~cm}\)
3 Real, inverted, height \(=4 \mathrm{~cm}\)
4 Real, inverted, height \(=1 \mathrm{~cm}\)
Ray Optics

282483 The given lens is broken into four parts and rearranged as shown. If the initial focal length is \(f\) then after rearrangement the equivalent focal length is -

1 \(\mathrm{f}\)
2 \(f / 2\)
3 \(\mathrm{f} / 4\)
4 \(4 \mathrm{f}\)
Ray Optics

282498 A bi - convex lens made of glass (refractive index 1.5 ) is put in a liquid of refractive index 1.7. Its focal length will :

1 decrease and change sign
2 increase and change sign
3 decrease and remain of the same sign
4 increase and remain of the same sign
Ray Optics

282484 A lens having focal length \(f\) and aperture of diameter \(d\) forms an image of intensity \(I\). Aperture of diameter \(\frac{d}{2}\) in central region of lens is covered by a black paper. Focal length of lens and intensity of image now will be respectively:

1 \(f\) and \(\frac{\mathrm{I}}{4}\)
2 \(\frac{3 f}{4}\) and \(\frac{\mathrm{I}}{2}\)
3 \(f\) and \(\frac{3 I}{4}\)
4 \(\frac{f}{2}\) and \(\frac{\mathrm{I}}{2}\)
Ray Optics

282485 A thin plano-convex lens of focal length \(f\) is split into two halves: one of the halves is shifted along the optical axis. The separation between object and image planes is \(1.8 \mathrm{~m}\). The magnification of the image formed by one of the half-lenses is 2 . If \(f\) and \(d\) be the focal-length of the lens and separation between the two halves respectively then,

1 \(f=0.4 \mathrm{~m}\)
2 \(f=0.6 \mathrm{~m}\)
3 \(d=0.5 \mathrm{~m}\)
4 \(d=0.9 \mathrm{~m}\)
Ray Optics

282486 A biconvex lens has a radius of curvature of magnitude \(20 \mathrm{~cm}\). Which one of the following options best describe the image formed of an object of height \(2 \mathrm{~cm}\) placed \(30 \mathrm{~cm}\) from the lens?

1 Virtual, upright, height \(=1 \mathrm{~cm}\)
2 Virtual, upright, height \(=0.5 \mathrm{~cm}\)
3 Real, inverted, height \(=4 \mathrm{~cm}\)
4 Real, inverted, height \(=1 \mathrm{~cm}\)
Ray Optics

282483 The given lens is broken into four parts and rearranged as shown. If the initial focal length is \(f\) then after rearrangement the equivalent focal length is -

1 \(\mathrm{f}\)
2 \(f / 2\)
3 \(\mathrm{f} / 4\)
4 \(4 \mathrm{f}\)
Ray Optics

282498 A bi - convex lens made of glass (refractive index 1.5 ) is put in a liquid of refractive index 1.7. Its focal length will :

1 decrease and change sign
2 increase and change sign
3 decrease and remain of the same sign
4 increase and remain of the same sign
Ray Optics

282484 A lens having focal length \(f\) and aperture of diameter \(d\) forms an image of intensity \(I\). Aperture of diameter \(\frac{d}{2}\) in central region of lens is covered by a black paper. Focal length of lens and intensity of image now will be respectively:

1 \(f\) and \(\frac{\mathrm{I}}{4}\)
2 \(\frac{3 f}{4}\) and \(\frac{\mathrm{I}}{2}\)
3 \(f\) and \(\frac{3 I}{4}\)
4 \(\frac{f}{2}\) and \(\frac{\mathrm{I}}{2}\)
Ray Optics

282485 A thin plano-convex lens of focal length \(f\) is split into two halves: one of the halves is shifted along the optical axis. The separation between object and image planes is \(1.8 \mathrm{~m}\). The magnification of the image formed by one of the half-lenses is 2 . If \(f\) and \(d\) be the focal-length of the lens and separation between the two halves respectively then,

1 \(f=0.4 \mathrm{~m}\)
2 \(f=0.6 \mathrm{~m}\)
3 \(d=0.5 \mathrm{~m}\)
4 \(d=0.9 \mathrm{~m}\)
Ray Optics

282486 A biconvex lens has a radius of curvature of magnitude \(20 \mathrm{~cm}\). Which one of the following options best describe the image formed of an object of height \(2 \mathrm{~cm}\) placed \(30 \mathrm{~cm}\) from the lens?

1 Virtual, upright, height \(=1 \mathrm{~cm}\)
2 Virtual, upright, height \(=0.5 \mathrm{~cm}\)
3 Real, inverted, height \(=4 \mathrm{~cm}\)
4 Real, inverted, height \(=1 \mathrm{~cm}\)
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Ray Optics

282483 The given lens is broken into four parts and rearranged as shown. If the initial focal length is \(f\) then after rearrangement the equivalent focal length is -

1 \(\mathrm{f}\)
2 \(f / 2\)
3 \(\mathrm{f} / 4\)
4 \(4 \mathrm{f}\)
Ray Optics

282498 A bi - convex lens made of glass (refractive index 1.5 ) is put in a liquid of refractive index 1.7. Its focal length will :

1 decrease and change sign
2 increase and change sign
3 decrease and remain of the same sign
4 increase and remain of the same sign
Ray Optics

282484 A lens having focal length \(f\) and aperture of diameter \(d\) forms an image of intensity \(I\). Aperture of diameter \(\frac{d}{2}\) in central region of lens is covered by a black paper. Focal length of lens and intensity of image now will be respectively:

1 \(f\) and \(\frac{\mathrm{I}}{4}\)
2 \(\frac{3 f}{4}\) and \(\frac{\mathrm{I}}{2}\)
3 \(f\) and \(\frac{3 I}{4}\)
4 \(\frac{f}{2}\) and \(\frac{\mathrm{I}}{2}\)
Ray Optics

282485 A thin plano-convex lens of focal length \(f\) is split into two halves: one of the halves is shifted along the optical axis. The separation between object and image planes is \(1.8 \mathrm{~m}\). The magnification of the image formed by one of the half-lenses is 2 . If \(f\) and \(d\) be the focal-length of the lens and separation between the two halves respectively then,

1 \(f=0.4 \mathrm{~m}\)
2 \(f=0.6 \mathrm{~m}\)
3 \(d=0.5 \mathrm{~m}\)
4 \(d=0.9 \mathrm{~m}\)
Ray Optics

282486 A biconvex lens has a radius of curvature of magnitude \(20 \mathrm{~cm}\). Which one of the following options best describe the image formed of an object of height \(2 \mathrm{~cm}\) placed \(30 \mathrm{~cm}\) from the lens?

1 Virtual, upright, height \(=1 \mathrm{~cm}\)
2 Virtual, upright, height \(=0.5 \mathrm{~cm}\)
3 Real, inverted, height \(=4 \mathrm{~cm}\)
4 Real, inverted, height \(=1 \mathrm{~cm}\)
Ray Optics

282483 The given lens is broken into four parts and rearranged as shown. If the initial focal length is \(f\) then after rearrangement the equivalent focal length is -

1 \(\mathrm{f}\)
2 \(f / 2\)
3 \(\mathrm{f} / 4\)
4 \(4 \mathrm{f}\)
Ray Optics

282498 A bi - convex lens made of glass (refractive index 1.5 ) is put in a liquid of refractive index 1.7. Its focal length will :

1 decrease and change sign
2 increase and change sign
3 decrease and remain of the same sign
4 increase and remain of the same sign
Ray Optics

282484 A lens having focal length \(f\) and aperture of diameter \(d\) forms an image of intensity \(I\). Aperture of diameter \(\frac{d}{2}\) in central region of lens is covered by a black paper. Focal length of lens and intensity of image now will be respectively:

1 \(f\) and \(\frac{\mathrm{I}}{4}\)
2 \(\frac{3 f}{4}\) and \(\frac{\mathrm{I}}{2}\)
3 \(f\) and \(\frac{3 I}{4}\)
4 \(\frac{f}{2}\) and \(\frac{\mathrm{I}}{2}\)
Ray Optics

282485 A thin plano-convex lens of focal length \(f\) is split into two halves: one of the halves is shifted along the optical axis. The separation between object and image planes is \(1.8 \mathrm{~m}\). The magnification of the image formed by one of the half-lenses is 2 . If \(f\) and \(d\) be the focal-length of the lens and separation between the two halves respectively then,

1 \(f=0.4 \mathrm{~m}\)
2 \(f=0.6 \mathrm{~m}\)
3 \(d=0.5 \mathrm{~m}\)
4 \(d=0.9 \mathrm{~m}\)
Ray Optics

282486 A biconvex lens has a radius of curvature of magnitude \(20 \mathrm{~cm}\). Which one of the following options best describe the image formed of an object of height \(2 \mathrm{~cm}\) placed \(30 \mathrm{~cm}\) from the lens?

1 Virtual, upright, height \(=1 \mathrm{~cm}\)
2 Virtual, upright, height \(=0.5 \mathrm{~cm}\)
3 Real, inverted, height \(=4 \mathrm{~cm}\)
4 Real, inverted, height \(=1 \mathrm{~cm}\)