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MCQ

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MCQ 11 Mark
A combination of two thin convex lenses of focal length $0.3 \mathrm{~m}$ and $0.1 \mathrm{~m}$ will have minimum spherical and chromatic aberrations if the distance between them is
  • A
    $0.1 \mathrm{~m}$
  • $0.2 \mathrm{~m}$
  • C
    $0.3 \mathrm{~m}$
  • D
    $0.4 \mathrm{~m}$
Answer
Correct option: B.
$0.2 \mathrm{~m}$
For minimum spherical and chromatic aberration distance between lenses.
$d=f_1-f_2=0.3-0.1=0.2 \mathrm{~m} .$
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MCQ 21 Mark
A compound microscope has an eye piece of focal length $10 \mathrm{~cm}$ and an objective of focal length $4 \mathrm{~cm}$. Calculate the magnification, if an object is kept at a distance of $5 \mathrm{~cm}$ from the objective so that final image is formed at the least distance vision $(20 \mathrm{~cm})$
  • $12$
  • B
    $11$
  • C
    $10$
  • D
    $13$
Answer
Correct option: A.
$12$
$\text { For objective lens } \frac{1}{f_o}=\frac{1}{v_o}-\frac{1}{u_o}$
$\Rightarrow \frac{1}{v_o}=\frac{1}{f_o}+\frac{1}{u_0}=\frac{1}{4}+\frac{1}{-5}=\frac{1}{20} \Rightarrow v_0=20 \mathrm{~cm} $
$ \text { Now } M=\frac{v_o}{u_o}\left(1+\frac{D}{f_e}\right)=\frac{20}{5}\left(1+\frac{20}{10}\right)=12 .$
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MCQ 31 Mark
Material $A$ has critical angle $i_A$, and material $B$ has critical angle $i_B\left(i_B>i_A\right)$. Then which of the following is true
(i) Light can be totally internally reflected when it passes from $B$ to $A$
(ii) Light can be totally internally reflected when it passes from $A$ to $B$
(iii) Critical angle for total internal reflection is $i_B-i_A$
(iv) Critical angle between $A$ and $B$ is $\sin ^{-1}\left(\frac{\sin i_A}{\sin i_B}\right)$
  • A
    (a) (i) and (iii)
  • B
    (b) (i) and (iv)
  • C
    (c) (ii) and (iii)
  • (d) (ii) and (iv)
Answer
Correct option: D.
(d) (ii) and (iv)
(d) We know $C=\sin ^{-1}\left(\frac{1}{\mu}\right)$Given critical angle $i_B>i_A$So $\mu_B<\mu_A$ i.e. $B$ is rarer and $A$ is denser.Hence light can be totally internally reflected when it passes from $A$ to $B$Now critical angle for $A$ to $B$$\begin{aligned}& C_{A B}=\sin ^{-1}\left(\frac{1}{{ }_B \mu_A}\right)=\sin ^{-1}\left[_A \mu_B\right] \\& =\sin ^{-1}\left[\frac{\mu_B}{\mu_A}\right]=\sin ^{-1}\left[\frac{\sin i_A}{\sin i_B}\right]\end{aligned}$
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MCQ 41 Mark
Spherical aberration in a lens
  • A
    Is minimum when most of the deviation is at the first surface
  • B
    Is minimum when most of the deviation is at the second surface
  • Is minimum when the total deviation is equally distributed over the two surface
  • D
    Does not depend on the above consideration
Answer
Correct option: C.
Is minimum when the total deviation is equally distributed over the two surface
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MCQ 51 Mark
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
  • Decrease and change sign
  • B
    Increase and change sign
  • C
    Decrease and remain of the same sign
  • D
    Increase and remain of the same sign
Answer
Correct option: A.
Decrease and change sign
Decrease and change sign
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MCQ 61 Mark
A light beam is being reflected by using two mirrors, as in a periscope used in submarines. If one of the mirrors rotates by an angle $\theta$, the reflected light will deviate from its original path by the angle
  • $2 \theta$
  • B
    $0^{\circ}$
  • C
    $\theta$
  • D
    $4 \theta$
Answer
Correct option: A.
$2 \theta$
When a mirror is rotated by an angle $\theta$, the reflected ray deviate from its original path by angle $2 \theta$.
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MCQ 71 Mark
The optical path of a monochromatic light is same if it goes through $4.0 \mathrm{~cm}$ of glass or $4.5 \mathrm{~cm}$ of water. If the refractive index of glass is $1.53,$ the refractive index of the water is
  • A
    $1.30$
  • $1.36$
  • C
    $1.42$
  • D
    $1.46$
Answer
Correct option: B.
$1.36$
Optical path $\mu x=$ constant i.e. $\mu_1 x_1=\mu_2 x_2$
$\Rightarrow 1.53 \times 4=\mu_2 \times 4.5 \Rightarrow \mu_2=1.36$
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MCQ 81 Mark
If two $+5 D$ lenses are mounted at some distance apart, the equivalent power will always be negative if the distance is
  • Greater than $40 \mathrm{~cm}$
  • B
    Equal to $40 \mathrm{~cm}$
  • C
    Equal to $10 \mathrm{~cm}$
  • D
    Less than $10 \mathrm{~cm}$
Answer
Correct option: A.
Greater than $40 \mathrm{~cm}$
$P=P_1+P_2-d P_1 P_2|\leftrightarrows P=v \sigma-25 d|$
$\Rightarrow$ For $P$ to be negative $25 d>10$
$\Rightarrow d>0.4 \mathrm{~m}$ or $d>40 \mathrm{~cm}$
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MCQ 91 Mark
A thin lens made of glass of refractive index $\mu=1.5$ has a focal length equal to $12 \mathrm{~cm}$ in air. It is now immersed in water $\left(\mu=\frac{4}{3}\right)$. Its new focal length is
  • $48 \mathrm{~cm}$
  • B
    $36 \mathrm{~cm}$
  • C
    $24 \mathrm{~cm}$
  • D
    $12 \mathrm{~cm}$
Answer
Correct option: A.
$48 \mathrm{~cm}$
$f_w=4 \times f_a=4 \times 12=48 \mathrm{~cm}$.
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MCQ 101 Mark
A concave mirror is placed at the bottom of an empty tank with face upwards and axis vertical. When sunlight falls normally on the mirror, it is focussed at distance of $32 \mathrm{~cm}$ from the mirror. If the tank filled with water $\left(\mu=\frac{4}{3}\right)$ upto a height of $20 \mathrm{~cm}$, then the sunlight will now get focussed at
  • A
    $16 \mathrm{~cm}$ above water level
  • $9 \mathrm{~cm}$ above water level
  • C
    $24 \mathrm{~cm}$ below water level
  • D
    $9 \mathrm{~cm}$ below water level
Answer
Correct option: B.
$9 \mathrm{~cm}$ above water level
Sun is at infinity i.e. $u=\infty$ so from mirror formula we have
$\frac{1}{f}=\frac{1}{-32}+\frac{1}{(-\infty)} \Rightarrow f=-32 cm$
When water is filled in the tank upto a height of 20 cm , the image formed by the mirror will act as virtual object for water surface. Which will form it's image at $I$ such that
$\frac{\text { Actualheight }}{\text { Apperant height }}=\frac{\mu_w}{\mu_a}$ i.e. $\frac{B O}{B I}=\frac{4 / 3}{1}$
$\Rightarrow B I=B O \times \frac{3}{4}=12 \times \frac{3}{4}=9 cm$

 
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MCQ 111 Mark
If the wavelength of light in vacuum be $\lambda$, the wavelength in a medium of refractive index $n$ will be
  • A
    $n \lambda$
  • $\frac{\lambda}{n}$
  • C
    $\frac{\lambda}{n^2}$
  • D
    $n \lambda$
Answer
Correct option: B.
$\frac{\lambda}{n}$
$\lambda_{\text {medium }}=\frac{\lambda_{\text {vacuum }}}{\mu}$
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MCQ 121 Mark
A double convex thin lens made of glass of refractive index $1.6$ has radii of curvature $15 \mathrm{~cm}$ each. The focal length of this lens when immersed in a liquid of refractive index $1.63$ is
  • $-407 \mathrm{~cm}$
  • B
    $250 \mathrm{~cm}$
  • C
    $125 \mathrm{~cm}$
  • D
    $25 \mathrm{~cm}$
Answer
Correct option: A.
$-407 \mathrm{~cm}$
$\frac{f_l}{f_a}=\frac{\left({ }_a \mu_g-1\right)}{\left({ }_1 \mu_g-1\right)} ; f_a=\frac{R}{2\left(\mu_g-1\right)}=\frac{15}{2(1.6-1)}=12.5$
$\Rightarrow \frac{f_l}{12.5}=\frac{(1.6-1)}{\left(\frac{1.6}{1.63}-1\right)} \Rightarrow f_l=-407.5 \mathrm{~cm}$
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MCQ 131 Mark
A lens of power $+2$ diopters is placed in contact with a lens of power $-1$ diopoter. The combination will behave like
  • A
    A divergent lens of focal length $50 \mathrm{~cm}$
  • B
    A convergent lens of focal length $50 \mathrm{~cm}$
  • A convergent lens of focal length $100 \mathrm{~cm}$
  • D
    A divergent lens of focal length $100 \mathrm{~cm}$
Answer
Correct option: C.
A convergent lens of focal length $100 \mathrm{~cm}$
$ P=P_1+P_2$
$ \Rightarrow P=+2+(-1)=+1 D, $
$ f=\frac{+100}{P}=\frac{+100}{1}=100 \mathrm{~cm}$
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MCQ 141 Mark
The ratio of thickness of plates of two transparent mediums $A$ and $B$ is $6: 4$. If light takes equal time in passing through them, then refractive index of $B$ with respect to $A$ will be
  • A
    (a) 1.4
  • (b) 1.5
  • C
    (c) 1.75
  • D
    (d) 1.33
Answer
Correct option: B.
(b) 1.5
(b) Time taken by light to travel distance $x$ through a medium of refractive index $\mu$ is$t=\frac{\mu x}{c} \Rightarrow \frac{\mu_B}{\mu_A}=\frac{x_A}{x_B}=\frac{6}{4} \Rightarrow{ }_A \mu_B=\frac{3}{2}=1.5$
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MCQ 151 Mark
Absolute refractive indices of glass and water are $\frac{3}{2}$ and $\frac{4}{3}$. The ratio of velocity of light in glass and water will be
  • A
    $4: 3$
  • B
    $8: 7$
  • $8: 9$
  • D
    $3: 4$
Answer
Correct option: C.
$8: 9$
$v \propto \frac{1}{\mu} \Rightarrow \frac{v_1}{v_2}=\frac{\mu_2}{\mu_1} $
$\Rightarrow \frac{v_g}{v_w}=\frac{\mu_w}{\mu_g}=\frac{4 / 3}{3 / 2}=\frac{8}{9}$
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MCQ 161 Mark
The refractive indices for the light of violet and red colours of any material are $1.66$ and $1.64$ respectively. If the angle of prism made of this material is $10,$ then angular dispersion will be
  • $0.20$
  • B
    $0.10$
  • C
    $ 0.40$
  • D
    $1$
Answer
Correct option: A.
$0.20$
$\theta=\left(\mu_v-\mu_r\right) A=(1.66-1.64) \times 10^{\circ}=0.2^{\circ}$
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MCQ 171 Mark
If a thin prism of glass is dipped into water then minimum deviation (with respect to air) of light produced by prism will be left $\left({ }_a \mu_g=\frac{3}{2}\right.$ and $\left.{ }_a \mu_w=\frac{4}{3}\right)$
  • A
    $\frac{1}{2}$
  • $\frac{1}{4}$
  • C
    $2$
  • D
    $\frac{1}{5}$
Answer
Correct option: B.
$\frac{1}{4}$
$\frac{\delta_a}{\delta_w}=\frac{\left({ }_a \mu_g-1\right)}{\left({ }_w \mu_g-1\right)}=\frac{\left(\frac{3}{2}-1\right)}{\left(\frac{3 / 2}{4 / 3}-1\right)}=4 \Rightarrow \delta_w=\frac{\delta_a}{4}$
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MCQ 181 Mark
A concave mirror gives an image three times as large as the object placed at a distance of $20 \mathrm{~cm}$ from it. For the image to be real, the focal length should be
  • A
    $10 \mathrm{~cm}$
  • $15 \mathrm{~cm}$
  • C
    $20 \mathrm{~cm}$
  • D
    $30 \mathrm{~cm}$
Answer
Correct option: B.
$15 \mathrm{~cm}$
$m=\frac{f}{f-u} \Rightarrow-3=\frac{f}{f-(-20)} \Rightarrow f=-15 \mathrm{~cm}$
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MCQ 191 Mark
Match List 1 with List 11 and select the correct answer using the codes given below the lists :
List I List II
(Position of the object) (Magnification)
(I) An object is placed at focus before a convex mirror (A) Magnification is $-\infty$
(II) An object is placed at centre of curvature before a concave mirror (B) Magnification is 0.5
(III) An object is placed at focus before a concave mirror (C) Magnification is +1
(IV) An object is placed at centre of curvature before a convex mirror (D) Magnification is -1
(E) Magnification is 0.33
Codes:
  • (a) I-B, II-D, III-A, IV-E
  • B
    (b) I-A, II-D, III-C, IV-B
  • C
    (c) $1-C, 11-B, 111-A, I V-E$
  • D
    (d) I-B, Il-E, III-D, IV-C
Answer
Correct option: A.
(a) I-B, II-D, III-A, IV-E
(a)
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MCQ 201 Mark
A concave lens of focal length $20 \mathrm{~cm}$ placed in contact with a plane mirror acts as a
  • Convex mirror of focal length $10 \mathrm{~cm}$
  • B
    Concave mirror of focal length $40 \mathrm{~cm}$
  • C
    Concave mirror of focal length $60 \mathrm{~cm}$
  • D
    Concave mirror of focal length $10 \mathrm{~cm}$
Answer
Correct option: A.
Convex mirror of focal length $10 \mathrm{~cm}$
$\frac{1}{F}=\frac{2}{f}+\frac{1}{f_m}$.
Here $f_m=\infty$, hence $F=\frac{f}{2}=10 \mathrm{~cm}$
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MCQ 211 Mark
The objective of a compound microscope is essentially
  • A
    A concave lens of small focal length and small aperture
  • B
    Convex lens of small focal length and large aperture
  • C
    Convex lens of large focal length and large aperture
  • Convex lens of small focal length and small aperture
Answer
Correct option: D.
Convex lens of small focal length and small aperture
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MCQ 221 Mark
The image distance of an object placed $10 \mathrm{~cm}$ in front of a thin lens of focal length $+5 \mathrm{~cm}$ is
  • A
    $6.5 \mathrm{~cm}$
  • B
    $8.0 \mathrm{~cm}$
  • C
    $9.5 \mathrm{~cm}$
  • $10.0 \mathrm{~cm}$
Answer
Correct option: D.
$10.0 \mathrm{~cm}$
$\frac{1}{f}=\frac{1}{v}-\frac{1}{u} \Rightarrow \frac{1}{+5}=\frac{1}{v}-\frac{1}{(-10)} \Rightarrow v=10 \mathrm{~cm}$
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MCQ 231 Mark
The distance between an object and the screen is $100 \mathrm{~cm}$. A lens produces an image on the screen when placed at either of the positions $40 \mathrm{~cm}$ apart. The power of the lens is
  • A
    $\approx 3$ dioptres
  • $\approx 5$ dioptres
  • C
    $\approx 7$ diopters
  • D
    $\approx 9$ diopters
Answer
Correct option: B.
$\approx 5$ dioptres
$ f=\frac{D^2-x^2}{4 D} \text { (Focal length by displacement method) } $
$ \Rightarrow f=\frac{(100)^2-(40)^2}{4 \times 40}=21 \mathrm{~cm}$
$ \therefore P=\frac{100}{f}=\frac{100}{21} \approx 5 D$
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MCQ 241 Mark
The path of a refracted ray of light in a prism is parallel to the base of the prism only when the
  • A
    light is of a particular wavelength
  • B
    Ray is incident normally at one face
  • Ray undergoes minimum deviation
  • D
    Prism is made of a particular type of glass
Answer
Correct option: C.
Ray undergoes minimum deviation
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MCQ 251 Mark
The wavelength of light in air and some other medium are respectively $\lambda_a$ and $\lambda_m$. The refractive index of medium is
  • $\lambda_a / \lambda_m$
  • B
    $\lambda_m / \lambda_a$
  • C
    $\lambda_a \times \lambda_m$
  • D
    None of these
Answer
Correct option: A.
$\lambda_a / \lambda_m$
$\mu_m=\frac{c}{v}=\frac{n \lambda_a}{n \lambda_m}=\frac{\lambda_a}{\lambda_m}$
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MCQ 261 Mark
The phenomena of total internal reflection is seen when angle of incidence is
  • A
    $90^{\circ}$
  • Greater than critical angle
  • C
    Equal to critical angle
  • D
    $0^{\circ}$
Answer
Correct option: B.
Greater than critical angle
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MCQ 271 Mark
For a compound microscope, the focal lengths of object lens and eye lens are $f_o$ and $f_e$ respectively, then magnification will be done by microscope when
  • A
    (a) $f_o=f_e$
  • B
    (b) $f_o>f_e$
  • (c) $f_o
  • D
    (d) None of these
Answer
Correct option: C.
(c) $f_o
(c) Magnification will be done by compound microscope only when $f_o
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MCQ 281 Mark
lmage formed on retina of eye is proportional to
  • Size of object
  • B
    Area of object
  • C
    $\frac{\text { Size of object }}{\text { Size of image }}$
  • D
    $\frac{\text { size of image }}{\text { size of object }}$
Answer
Correct option: A.
Size of object
For large objects, large image is formed on retina.
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MCQ 291 Mark
Image formed by a concave mirror of focal length $6 \mathrm{~cm}$, is $3$ times of the object, then the distance of object from mirror is
  • $-4 \mathrm{~cm}$
  • B
    $8 \mathrm{~cm}$
  • C
    $6 \mathrm{~cm}$
  • D
    $12 \mathrm{~cm}$
Answer
Correct option: A.
$-4 \mathrm{~cm}$
$m= \pm 3$ and $f=-6 \mathrm{~cm}$Now $m=\frac{f}{f-u} \Rightarrow \pm 3=\frac{-6}{-6-u}$
For real image $-3=\frac{-6}{-6-u} \Rightarrow u=-8 \mathrm{~cm}$
For virtual image $3=\frac{-6}{-6-u} \Rightarrow u=-4 \mathrm{~cm}$
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MCQ 301 Mark
Which of the prism is used to see infrared spectrum of light
  • Rock Salt
  • B
    Nicol
  • C
    Flint
  • D
    Crown
Answer
Correct option: A.
Rock Salt
Rock salt prism is used to see infrared radiations.
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MCQ 311 Mark
Focal length of a plane mirror is
  • A
    Zero
  • Infinite
  • C
    Very less
  • D
    Indefinite
Answer
Correct option: B.
Infinite
$f=\frac{R}{2}$, and $R=\infty$ for plane mirror.
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MCQ 321 Mark
Total internal reflection is possible when light rays travel
  • A
    Air to water
  • B
    Air to glass
  • Glass to water
  • D
    Water to glass
Answer
Correct option: C.
Glass to water
Total internal reflection occurs when light ray travels from denser medium to rarer medium.
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MCQ 331 Mark
The minimum distance between the object and its real image for concave mirror is
  • A
    $f$
  • B
    $2 f$
  • C
    $4 f$
  • Zero
Answer
Correct option: D.
Zero
When object is kept at centre of curvature. It's real image is also formed at centre of curvature.
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MCQ 341 Mark
A convex lens has $9 \mathrm{~cm}$ focal length and a concave lens has $-18 \mathrm{~cm}$ focal length. The focal length of the combination in contact will be
  • A
    $9 \mathrm{~cm}$
  • B
    $-18 \mathrm{~cm}$
  • C
    $-9 \mathrm{~cm}$
  • $18 \mathrm{~cm}$
Answer
Correct option: D.
$18 \mathrm{~cm}$
$\frac{1}{F}=\frac{1}{f_1}+\frac{1}{f_2} $
$\Rightarrow \frac{1}{F}=\frac{1}{(+18)} \Rightarrow F=18 \mathrm{~cm}$
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MCQ 351 Mark
A lens which has focal length of $4 \mathrm{~cm}$ and refractive index of $1.4$ is immersed in a liquid of refractive index $1.6,$ then the focal length will be
  • $-12.8 \mathrm{~cm}$
  • B
    $32 \mathrm{~cm}$
  • C
    $12.8 \mathrm{~cm}$
  • D
    $-32 \mathrm{~cm}$
Answer
Correct option: A.
$-12.8 \mathrm{~cm}$
$\frac{f_l}{f_a}=\left(\frac{{ }_a \mu_g-1}{{ }_l \mu_g-1}\right)$
$ \Rightarrow \frac{f_l}{4}=\frac{(1.4-1)}{\frac{1.4}{1.6}-1} \Rightarrow f_l=-12.8 \mathrm{~cm}$
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MCQ 361 Mark
If an observer is walking away from the plane mirror with $6 \mathrm{~m} / \mathrm{sec}$. Then the velocity of the image with respect to observer will be
  • A
    $6 \mathrm{~m} / \mathrm{sec}$
  • B
    $-6 m / \mathrm{sec}$
  • $12 \mathrm{~m} / \mathrm{sec}$
  • D
    $3 \mathrm{~m} / \mathrm{sec}$
Answer
Correct option: C.
$12 \mathrm{~m} / \mathrm{sec}$
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MCQ 371 Mark
A watch shows time as $3: 25$ when seen through a mirror, time appeared will be
  • $8: 35$
  • B
    $9: 35$
  • C
    $7: 35$
  • D
    $8: 25$
Answer
Correct option: A.
$8: 35$
$8: 35$
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MCQ 381 Mark
Focal length of a converging lens in air is $R$. If it is dipped in water of refractive index $1.33$ , then its focal length will be around (Refractive index of lens material is $1.5$ )
  • A
    $R$
  • B
    $2 R$
  • $4 R$
  • D
    $R / 2$
Answer
Correct option: C.
$4 R$
$\frac{f_l}{f_a}=\frac{{ }_a \mu_g-1}{{ }_l \mu_g-1} \Rightarrow f_l=4 R$
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MCQ 391 Mark
The bottom of a container filled with liquid appear slightly raised because of
  • Refraction
  • B
    Interference
  • C
    Diffraction
  • D
    Reflection
Answer
Correct option: A.
Refraction
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MCQ 401 Mark
The focal length of a combination of lenses formed with lenses having powers of $+2.50 D$ and $-3.75 D$ will be
  • A
    $-20 \mathrm{~cm}$
  • B
    $-40 \mathrm{~cm}$
  • C
    $-60 \mathrm{~cm}$
  • $-80 \mathrm{~cm}$
Answer
Correct option: D.
$-80 \mathrm{~cm}$
$P=P_1+P_2=2.50-3.75=-1.25 \mathrm{D}$So $f=\frac{100}{1.25}=-80 \mathrm{~cm}$
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MCQ 411 Mark
A convex lens
  • Converges light rays
  • B
    Diverges light rays
  • C
    Form real images always
  • D
    Always forms virtual images
Answer
Correct option: A.
Converges light rays
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MCQ 421 Mark
Dispersive power depends upon
  • A
    The shape of prism
  • Material of prism
  • C
    Angle of prism
  • D
    Height of the prism
Answer
Correct option: B.
Material of prism
$\omega$ depend only on nature of material.
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MCQ 431 Mark
A normally incident ray reflected at an angle of $90^{\circ}$. The value of critical angle is
  • A
    $45^{\circ}$
  • $90^{\circ}$
  • C
    $65^{\circ}$
  • D
    $43.2^{\circ}$
Answer
Correct option: B.
$90^{\circ}$
Critical angle $C$ is equal to incident angle if ray reflected normally $\therefore C=90^{\circ}$
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MCQ 441 Mark
The refractive index of water is $4 / 3$ and that of glass is $5 / 3$. What will be the critical angle for the ray of light entering water from the glass
  • $\sin ^{-1} \frac{4}{5}$
  • B
    $\sin ^{-1} \frac{5}{4}$
  • C
    $\sin ^{-1} \frac{1}{2}$
  • D
    $\sin ^{-1} \frac{2}{1}$
Answer
Correct option: A.
$\sin ^{-1} \frac{4}{5}$
$ { }_w \mu_g=\frac{1}{\sin C} \Rightarrow \frac{\mu_g}{\mu_w}=\frac{5 / 3}{4 / 3}=\frac{1}{\sin C}$
$ \Rightarrow \sin C=\frac{4}{5} \Rightarrow C=\sin ^{-1}\left(\frac{4}{5}\right)$
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MCQ 451 Mark
Refractive index of air is $1.0003.$ The correct thickness of air column which will have one more wavelength of yellow light $(6000 \mathring A)$ than in the same thickness in vacuum is
  • $2 \mathrm{~mm}$
  • B
    $2 \mathrm{~cm}$
  • C
    $2 \mathrm{~m}$
  • D
    $2 \mathrm{~km}$
Answer
Correct option: A.
$2 \mathrm{~mm}$
(a) For vacuum $t=n \lambda_o$For air $t=(n+1) \lambda_a$From equation (i) and (ii)
$t=\frac{\lambda}{\mu-1}=\frac{6 \times 10^{-7}}{1.0003-1}\left(\mu=\frac{\lambda_o}{\lambda_a}\right)$
$ =2 \times 10^{-3} \mathrm{~m}=2 \mathrm{~mm} .$
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MCQ 461 Mark
A plano convex lens is made of glass of refractive index $1.5.$ The radius of curvature of its convex surface is $R$. lts focal length is
  • A
    $R / 2$
  • B
    $R$
  • $2 R$
  • D
    $1.5 R$
Answer
Correct option: C.
$2 R$
$f=\frac{R}{(\mu-1)}=\frac{R}{(1.5-1)}=2 R$
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MCQ 471 Mark
Two parallel pillars are $11 \mathrm{~km}$ away from an observer. The minimum distance between the pillars so that they can be seen separately will be
  • $3.2 \mathrm{~m}$
  • B
    $20.8 \mathrm{~m}$
  • C
    $91.5 \mathrm{~m}$
  • D
    $183 \mathrm{~m}$
Answer
Correct option: A.
$3.2 \mathrm{~m}$
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MCQ 481 Mark
A achromatic combination is made with a lens of focal length $f$ and dispersive power $\omega$ with a lens having dispersive power of $2 \omega$. The focal length of second will be
  • A
    $2\ f$
  • B
    $f / 2$
  • C
    $-f / 2$
  • $-2 f$
Answer
Correct option: D.
$-2 f$
$\omega / f=-2 \omega / f^{\prime} \Rightarrow f^{\prime}=-2 f$
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MCQ 491 Mark
For a medium, refractive indices for violet, red and yellow are $1.62, 1.52$ and $1.55$ respectively, then dispersive power of medium will be
  • A
    $0.65$
  • B
    $0.22$
  • $0.18$
  • D
    $0.02$
Answer
Correct option: C.
$0.18$
$\omega=\frac{\mu_v-\mu_R}{\mu_y-1}=\frac{1.62-1.52}{1.55-1}=0.18$
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MCQ 501 Mark
A plane mirror makes an angle of $30^{\circ}$ with horizontal. If a vertical ray strikes the mirror, find the angle between mirror and reflected ray
  • A
    $30^{\circ}$
  • B
    $45^{\circ}$
  • $60^{\circ}$
  • D
    $90^{\circ}$
Answer
Correct option: C.
$60^{\circ}$
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