Refraction at curved surfaces
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364833 In an experiment to measure focal length \((f)\) of convex lens, the least counts of the measuring scales for the position of object \((u)\) and for the position of image ( \(v\) ) are \(\Delta u\) and \(\Delta v\), respectively. The error in the measurement of the focal length of the convex lens will be

1 \(f\left[\dfrac{\Delta u}{u}+\dfrac{\Delta v}{v}\right]\)
2 \(2 f\left[\dfrac{\Delta u}{u}+\dfrac{\Delta v}{v}\right]\)
3 \(\dfrac{\Delta u}{u}+\dfrac{\Delta v}{v}\)
4 \(f^{2}\left[\dfrac{\Delta u}{u^{2}}+\dfrac{\Delta v}{v^{2}}\right]\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364834 A concave lens of focal length \(20\;cm\) produces an image half in size of the real object. The distance of the real object is

1 \(30\;cm\)
2 \(20\;cm\)
3 \(60\;cm\)
4 \(10\;cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364835 A convex lens of focal length \(f\) is placed some where in between an object and a screen. The distance between object and screen is \(x\). If numerical value of magnification produced by lens is \(m\), focal length of lens is

1 \(\dfrac{m x}{(m+1)^{2}}\)
2 \(\dfrac{m x}{(m-1)^{2}}\)
3 \(\frac{{{{(m + 1)}^2}}}{m}x\)
4 \(\frac{{{{(m - 1)}^2}}}{x}x\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364836 The following figure shows a beam of light converging at point \(P\). When a concave lens of focal length \(16\;cm\) is introduced in the path of the beam at a place shown by dotted line such that \(OP\) becomes the axis of the lens, the beam converges at a distance \(x\) from the lens.The value of \(x\) will be equal to
supporting img

1 \(36\;cm\)
2 \(48\;cm\)
3 \(12\;cm\)
4 \(24\;cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364837 The distance between an object and a divergent lens is \(m\) times the focal length of the lens. The linear magnification produced by the lens is

1 \(m\)
2 \(1 / m\)
3 \(m+1\)
4 \(\dfrac{1}{m+1}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364833 In an experiment to measure focal length \((f)\) of convex lens, the least counts of the measuring scales for the position of object \((u)\) and for the position of image ( \(v\) ) are \(\Delta u\) and \(\Delta v\), respectively. The error in the measurement of the focal length of the convex lens will be

1 \(f\left[\dfrac{\Delta u}{u}+\dfrac{\Delta v}{v}\right]\)
2 \(2 f\left[\dfrac{\Delta u}{u}+\dfrac{\Delta v}{v}\right]\)
3 \(\dfrac{\Delta u}{u}+\dfrac{\Delta v}{v}\)
4 \(f^{2}\left[\dfrac{\Delta u}{u^{2}}+\dfrac{\Delta v}{v^{2}}\right]\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364834 A concave lens of focal length \(20\;cm\) produces an image half in size of the real object. The distance of the real object is

1 \(30\;cm\)
2 \(20\;cm\)
3 \(60\;cm\)
4 \(10\;cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364835 A convex lens of focal length \(f\) is placed some where in between an object and a screen. The distance between object and screen is \(x\). If numerical value of magnification produced by lens is \(m\), focal length of lens is

1 \(\dfrac{m x}{(m+1)^{2}}\)
2 \(\dfrac{m x}{(m-1)^{2}}\)
3 \(\frac{{{{(m + 1)}^2}}}{m}x\)
4 \(\frac{{{{(m - 1)}^2}}}{x}x\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364836 The following figure shows a beam of light converging at point \(P\). When a concave lens of focal length \(16\;cm\) is introduced in the path of the beam at a place shown by dotted line such that \(OP\) becomes the axis of the lens, the beam converges at a distance \(x\) from the lens.The value of \(x\) will be equal to
supporting img

1 \(36\;cm\)
2 \(48\;cm\)
3 \(12\;cm\)
4 \(24\;cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364837 The distance between an object and a divergent lens is \(m\) times the focal length of the lens. The linear magnification produced by the lens is

1 \(m\)
2 \(1 / m\)
3 \(m+1\)
4 \(\dfrac{1}{m+1}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364833 In an experiment to measure focal length \((f)\) of convex lens, the least counts of the measuring scales for the position of object \((u)\) and for the position of image ( \(v\) ) are \(\Delta u\) and \(\Delta v\), respectively. The error in the measurement of the focal length of the convex lens will be

1 \(f\left[\dfrac{\Delta u}{u}+\dfrac{\Delta v}{v}\right]\)
2 \(2 f\left[\dfrac{\Delta u}{u}+\dfrac{\Delta v}{v}\right]\)
3 \(\dfrac{\Delta u}{u}+\dfrac{\Delta v}{v}\)
4 \(f^{2}\left[\dfrac{\Delta u}{u^{2}}+\dfrac{\Delta v}{v^{2}}\right]\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364834 A concave lens of focal length \(20\;cm\) produces an image half in size of the real object. The distance of the real object is

1 \(30\;cm\)
2 \(20\;cm\)
3 \(60\;cm\)
4 \(10\;cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364835 A convex lens of focal length \(f\) is placed some where in between an object and a screen. The distance between object and screen is \(x\). If numerical value of magnification produced by lens is \(m\), focal length of lens is

1 \(\dfrac{m x}{(m+1)^{2}}\)
2 \(\dfrac{m x}{(m-1)^{2}}\)
3 \(\frac{{{{(m + 1)}^2}}}{m}x\)
4 \(\frac{{{{(m - 1)}^2}}}{x}x\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364836 The following figure shows a beam of light converging at point \(P\). When a concave lens of focal length \(16\;cm\) is introduced in the path of the beam at a place shown by dotted line such that \(OP\) becomes the axis of the lens, the beam converges at a distance \(x\) from the lens.The value of \(x\) will be equal to
supporting img

1 \(36\;cm\)
2 \(48\;cm\)
3 \(12\;cm\)
4 \(24\;cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364837 The distance between an object and a divergent lens is \(m\) times the focal length of the lens. The linear magnification produced by the lens is

1 \(m\)
2 \(1 / m\)
3 \(m+1\)
4 \(\dfrac{1}{m+1}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364833 In an experiment to measure focal length \((f)\) of convex lens, the least counts of the measuring scales for the position of object \((u)\) and for the position of image ( \(v\) ) are \(\Delta u\) and \(\Delta v\), respectively. The error in the measurement of the focal length of the convex lens will be

1 \(f\left[\dfrac{\Delta u}{u}+\dfrac{\Delta v}{v}\right]\)
2 \(2 f\left[\dfrac{\Delta u}{u}+\dfrac{\Delta v}{v}\right]\)
3 \(\dfrac{\Delta u}{u}+\dfrac{\Delta v}{v}\)
4 \(f^{2}\left[\dfrac{\Delta u}{u^{2}}+\dfrac{\Delta v}{v^{2}}\right]\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364834 A concave lens of focal length \(20\;cm\) produces an image half in size of the real object. The distance of the real object is

1 \(30\;cm\)
2 \(20\;cm\)
3 \(60\;cm\)
4 \(10\;cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364835 A convex lens of focal length \(f\) is placed some where in between an object and a screen. The distance between object and screen is \(x\). If numerical value of magnification produced by lens is \(m\), focal length of lens is

1 \(\dfrac{m x}{(m+1)^{2}}\)
2 \(\dfrac{m x}{(m-1)^{2}}\)
3 \(\frac{{{{(m + 1)}^2}}}{m}x\)
4 \(\frac{{{{(m - 1)}^2}}}{x}x\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364836 The following figure shows a beam of light converging at point \(P\). When a concave lens of focal length \(16\;cm\) is introduced in the path of the beam at a place shown by dotted line such that \(OP\) becomes the axis of the lens, the beam converges at a distance \(x\) from the lens.The value of \(x\) will be equal to
supporting img

1 \(36\;cm\)
2 \(48\;cm\)
3 \(12\;cm\)
4 \(24\;cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364837 The distance between an object and a divergent lens is \(m\) times the focal length of the lens. The linear magnification produced by the lens is

1 \(m\)
2 \(1 / m\)
3 \(m+1\)
4 \(\dfrac{1}{m+1}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364833 In an experiment to measure focal length \((f)\) of convex lens, the least counts of the measuring scales for the position of object \((u)\) and for the position of image ( \(v\) ) are \(\Delta u\) and \(\Delta v\), respectively. The error in the measurement of the focal length of the convex lens will be

1 \(f\left[\dfrac{\Delta u}{u}+\dfrac{\Delta v}{v}\right]\)
2 \(2 f\left[\dfrac{\Delta u}{u}+\dfrac{\Delta v}{v}\right]\)
3 \(\dfrac{\Delta u}{u}+\dfrac{\Delta v}{v}\)
4 \(f^{2}\left[\dfrac{\Delta u}{u^{2}}+\dfrac{\Delta v}{v^{2}}\right]\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364834 A concave lens of focal length \(20\;cm\) produces an image half in size of the real object. The distance of the real object is

1 \(30\;cm\)
2 \(20\;cm\)
3 \(60\;cm\)
4 \(10\;cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364835 A convex lens of focal length \(f\) is placed some where in between an object and a screen. The distance between object and screen is \(x\). If numerical value of magnification produced by lens is \(m\), focal length of lens is

1 \(\dfrac{m x}{(m+1)^{2}}\)
2 \(\dfrac{m x}{(m-1)^{2}}\)
3 \(\frac{{{{(m + 1)}^2}}}{m}x\)
4 \(\frac{{{{(m - 1)}^2}}}{x}x\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364836 The following figure shows a beam of light converging at point \(P\). When a concave lens of focal length \(16\;cm\) is introduced in the path of the beam at a place shown by dotted line such that \(OP\) becomes the axis of the lens, the beam converges at a distance \(x\) from the lens.The value of \(x\) will be equal to
supporting img

1 \(36\;cm\)
2 \(48\;cm\)
3 \(12\;cm\)
4 \(24\;cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364837 The distance between an object and a divergent lens is \(m\) times the focal length of the lens. The linear magnification produced by the lens is

1 \(m\)
2 \(1 / m\)
3 \(m+1\)
4 \(\dfrac{1}{m+1}\)