C: Between principal focus and optical centre. 981. Wavelength of light used in an optical instruments are \(\lambda_1=4000 \AA\) and \(\lambda_2=5000 \AA\), then the ratio of their respective resolving powers (corresponding to \(\lambda_1\) and \(\lambda_2\) ) is(a) \(3: 5\)
(b.) \(9: 1\)
(c.) \(4: 5\)
(d.) \(5: 4\)
#[examname: TS- EAMCET.11.09.2020, Shift-2,AIIMS-2012]#
Ans: d
Exp: D: Given, \(\lambda_1=4000 \AA\), and \(\lambda_2=5000 \AA\)
We know that
Resolving power \((\mathrm{R}) \propto \frac{1}{\lambda}\)
\(\begin{aligned}
\frac{\mathrm{R}_1}{\mathrm{R}_2}=\frac{\lambda_2}{\lambda_1}=\frac{5000 \AA}{4000 \AA} \\
\mathrm{R}_1: \mathrm{R}_2=5: 4
\end{aligned}\)
MHT-CET 2020
Ray Optics
282868
For what distance is ray optics a good approximation when the aperture is \(4 \mathrm{~mm}\) wide \& the wavelength is \(500 \mathrm{~nm}\) ?
282869
A travelling microscope is focused on an ink dot marked on a piece of paper. When a glass slab \((\mu=1.5)\) of thickness \(0.12 \mathrm{~m}\) is placed on the ink dot. The travelling microscope has to be moved in order to restore the focus.
1 \(0.04 \mathrm{~m}\), downwards
2 \(0.04 \mathrm{~m}\), upwards
3 \(0.06 \mathrm{~m}\) downwards
4 \(0.06 \mathrm{~m}\), upwards
Explanation:
B: Given, \(\mu=1.5\), thickness \((t)=0.12 \mathrm{~m}\) Shift in object,
\(\begin{aligned}
\mathrm{S}=\left(1-\frac{1}{\mu}\right) \mathrm{t}=\left(1-\frac{1}{1.5}\right) \times 0.12 \\
\mathrm{~S}=0.04 \mathrm{~m}
\end{aligned}\)
To focus the ink drop, microscope must be raised up by 0.04 .
C: Between principal focus and optical centre. 981. Wavelength of light used in an optical instruments are \(\lambda_1=4000 \AA\) and \(\lambda_2=5000 \AA\), then the ratio of their respective resolving powers (corresponding to \(\lambda_1\) and \(\lambda_2\) ) is(a) \(3: 5\)
(b.) \(9: 1\)
(c.) \(4: 5\)
(d.) \(5: 4\)
#[examname: TS- EAMCET.11.09.2020, Shift-2,AIIMS-2012]#
Ans: d
Exp: D: Given, \(\lambda_1=4000 \AA\), and \(\lambda_2=5000 \AA\)
We know that
Resolving power \((\mathrm{R}) \propto \frac{1}{\lambda}\)
\(\begin{aligned}
\frac{\mathrm{R}_1}{\mathrm{R}_2}=\frac{\lambda_2}{\lambda_1}=\frac{5000 \AA}{4000 \AA} \\
\mathrm{R}_1: \mathrm{R}_2=5: 4
\end{aligned}\)
MHT-CET 2020
Ray Optics
282868
For what distance is ray optics a good approximation when the aperture is \(4 \mathrm{~mm}\) wide \& the wavelength is \(500 \mathrm{~nm}\) ?
282869
A travelling microscope is focused on an ink dot marked on a piece of paper. When a glass slab \((\mu=1.5)\) of thickness \(0.12 \mathrm{~m}\) is placed on the ink dot. The travelling microscope has to be moved in order to restore the focus.
1 \(0.04 \mathrm{~m}\), downwards
2 \(0.04 \mathrm{~m}\), upwards
3 \(0.06 \mathrm{~m}\) downwards
4 \(0.06 \mathrm{~m}\), upwards
Explanation:
B: Given, \(\mu=1.5\), thickness \((t)=0.12 \mathrm{~m}\) Shift in object,
\(\begin{aligned}
\mathrm{S}=\left(1-\frac{1}{\mu}\right) \mathrm{t}=\left(1-\frac{1}{1.5}\right) \times 0.12 \\
\mathrm{~S}=0.04 \mathrm{~m}
\end{aligned}\)
To focus the ink drop, microscope must be raised up by 0.04 .
C: Between principal focus and optical centre. 981. Wavelength of light used in an optical instruments are \(\lambda_1=4000 \AA\) and \(\lambda_2=5000 \AA\), then the ratio of their respective resolving powers (corresponding to \(\lambda_1\) and \(\lambda_2\) ) is(a) \(3: 5\)
(b.) \(9: 1\)
(c.) \(4: 5\)
(d.) \(5: 4\)
#[examname: TS- EAMCET.11.09.2020, Shift-2,AIIMS-2012]#
Ans: d
Exp: D: Given, \(\lambda_1=4000 \AA\), and \(\lambda_2=5000 \AA\)
We know that
Resolving power \((\mathrm{R}) \propto \frac{1}{\lambda}\)
\(\begin{aligned}
\frac{\mathrm{R}_1}{\mathrm{R}_2}=\frac{\lambda_2}{\lambda_1}=\frac{5000 \AA}{4000 \AA} \\
\mathrm{R}_1: \mathrm{R}_2=5: 4
\end{aligned}\)
MHT-CET 2020
Ray Optics
282868
For what distance is ray optics a good approximation when the aperture is \(4 \mathrm{~mm}\) wide \& the wavelength is \(500 \mathrm{~nm}\) ?
282869
A travelling microscope is focused on an ink dot marked on a piece of paper. When a glass slab \((\mu=1.5)\) of thickness \(0.12 \mathrm{~m}\) is placed on the ink dot. The travelling microscope has to be moved in order to restore the focus.
1 \(0.04 \mathrm{~m}\), downwards
2 \(0.04 \mathrm{~m}\), upwards
3 \(0.06 \mathrm{~m}\) downwards
4 \(0.06 \mathrm{~m}\), upwards
Explanation:
B: Given, \(\mu=1.5\), thickness \((t)=0.12 \mathrm{~m}\) Shift in object,
\(\begin{aligned}
\mathrm{S}=\left(1-\frac{1}{\mu}\right) \mathrm{t}=\left(1-\frac{1}{1.5}\right) \times 0.12 \\
\mathrm{~S}=0.04 \mathrm{~m}
\end{aligned}\)
To focus the ink drop, microscope must be raised up by 0.04 .
C: Between principal focus and optical centre. 981. Wavelength of light used in an optical instruments are \(\lambda_1=4000 \AA\) and \(\lambda_2=5000 \AA\), then the ratio of their respective resolving powers (corresponding to \(\lambda_1\) and \(\lambda_2\) ) is(a) \(3: 5\)
(b.) \(9: 1\)
(c.) \(4: 5\)
(d.) \(5: 4\)
#[examname: TS- EAMCET.11.09.2020, Shift-2,AIIMS-2012]#
Ans: d
Exp: D: Given, \(\lambda_1=4000 \AA\), and \(\lambda_2=5000 \AA\)
We know that
Resolving power \((\mathrm{R}) \propto \frac{1}{\lambda}\)
\(\begin{aligned}
\frac{\mathrm{R}_1}{\mathrm{R}_2}=\frac{\lambda_2}{\lambda_1}=\frac{5000 \AA}{4000 \AA} \\
\mathrm{R}_1: \mathrm{R}_2=5: 4
\end{aligned}\)
MHT-CET 2020
Ray Optics
282868
For what distance is ray optics a good approximation when the aperture is \(4 \mathrm{~mm}\) wide \& the wavelength is \(500 \mathrm{~nm}\) ?
282869
A travelling microscope is focused on an ink dot marked on a piece of paper. When a glass slab \((\mu=1.5)\) of thickness \(0.12 \mathrm{~m}\) is placed on the ink dot. The travelling microscope has to be moved in order to restore the focus.
1 \(0.04 \mathrm{~m}\), downwards
2 \(0.04 \mathrm{~m}\), upwards
3 \(0.06 \mathrm{~m}\) downwards
4 \(0.06 \mathrm{~m}\), upwards
Explanation:
B: Given, \(\mu=1.5\), thickness \((t)=0.12 \mathrm{~m}\) Shift in object,
\(\begin{aligned}
\mathrm{S}=\left(1-\frac{1}{\mu}\right) \mathrm{t}=\left(1-\frac{1}{1.5}\right) \times 0.12 \\
\mathrm{~S}=0.04 \mathrm{~m}
\end{aligned}\)
To focus the ink drop, microscope must be raised up by 0.04 .
