NEET Test Series from KOTA - 10 Papers In MS WORD
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PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
364911
\(\quad T\) is a point at the bottom of a tank filled with water, as shown. The redfractive index of water is \(4 / 3 . Y P T\) is the vertical line through \(T\). To an observer at the position \(O, T\) will appear to be:
1 No change in position of \(T\).
2 At a depth of \(2\,m\) from \(P\).
3 At a depth \(3\,m\) below \(P\).
4 At a depth \(>3\,m\) below \(P\).
Explanation:
The apparent depth of the point \(T\) is \(\dfrac{t}{u}=\dfrac{4}{4 / 3}=3 m\) Correct option is (3).
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
364912
A vessel of depth \({t}\) is half filled with oil of refractive index \({\mu_{1}}\) and the other half is filled with water of refractive index \({\mu_{2}}\). The apperant depth of vessel when viewed from above is
1 \({\dfrac{2 t \mu_{1} \mu_{2}}{\left(\mu_{1}+\mu_{2}\right)}}\)
The apparent depth will be sum of depth due water and oil \({=\dfrac{t_{1}}{\mu_{1}}+\dfrac{t_{2}}{\mu_{2}}=\dfrac{t}{2}\left[\dfrac{1}{\mu_{1}}+\dfrac{1}{\mu_{2}}\right]=\dfrac{t\left(\mu_{1}+\mu_{2}\right)}{2 \mu_{1} \mu_{2}}}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
364913
A vessel of depth ' \(d\) ' is half filled with oil of refractive index \(n_{1}\) and the other half is filled with water of refractive index \(n_{2}\). The apparent depth of this vessel when viewed from above will be
Apparent depth for a system of multi liquid layers \(=\dfrac{t_{1}}{n_{1}}+\dfrac{t_{2}}{n_{2}}\) \(=\dfrac{d / 2}{n_{1}}+\dfrac{d / 2}{n_{2}}=\dfrac{d\left(n_{1}+n_{2}\right)}{2 n_{1} n_{2}}\)
JEE - 2023
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
364914
A layer of benzene \((\mu = 1.5)6\;cm\) deep floats on water\(\left( {\mu = \frac{4}{3}} \right),4\;cm\) deep. When viewed vertically through air, the apparent distance of the bottom of the vessel below the free surface of benzene is
364911
\(\quad T\) is a point at the bottom of a tank filled with water, as shown. The redfractive index of water is \(4 / 3 . Y P T\) is the vertical line through \(T\). To an observer at the position \(O, T\) will appear to be:
1 No change in position of \(T\).
2 At a depth of \(2\,m\) from \(P\).
3 At a depth \(3\,m\) below \(P\).
4 At a depth \(>3\,m\) below \(P\).
Explanation:
The apparent depth of the point \(T\) is \(\dfrac{t}{u}=\dfrac{4}{4 / 3}=3 m\) Correct option is (3).
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
364912
A vessel of depth \({t}\) is half filled with oil of refractive index \({\mu_{1}}\) and the other half is filled with water of refractive index \({\mu_{2}}\). The apperant depth of vessel when viewed from above is
1 \({\dfrac{2 t \mu_{1} \mu_{2}}{\left(\mu_{1}+\mu_{2}\right)}}\)
The apparent depth will be sum of depth due water and oil \({=\dfrac{t_{1}}{\mu_{1}}+\dfrac{t_{2}}{\mu_{2}}=\dfrac{t}{2}\left[\dfrac{1}{\mu_{1}}+\dfrac{1}{\mu_{2}}\right]=\dfrac{t\left(\mu_{1}+\mu_{2}\right)}{2 \mu_{1} \mu_{2}}}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
364913
A vessel of depth ' \(d\) ' is half filled with oil of refractive index \(n_{1}\) and the other half is filled with water of refractive index \(n_{2}\). The apparent depth of this vessel when viewed from above will be
Apparent depth for a system of multi liquid layers \(=\dfrac{t_{1}}{n_{1}}+\dfrac{t_{2}}{n_{2}}\) \(=\dfrac{d / 2}{n_{1}}+\dfrac{d / 2}{n_{2}}=\dfrac{d\left(n_{1}+n_{2}\right)}{2 n_{1} n_{2}}\)
JEE - 2023
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
364914
A layer of benzene \((\mu = 1.5)6\;cm\) deep floats on water\(\left( {\mu = \frac{4}{3}} \right),4\;cm\) deep. When viewed vertically through air, the apparent distance of the bottom of the vessel below the free surface of benzene is
364911
\(\quad T\) is a point at the bottom of a tank filled with water, as shown. The redfractive index of water is \(4 / 3 . Y P T\) is the vertical line through \(T\). To an observer at the position \(O, T\) will appear to be:
1 No change in position of \(T\).
2 At a depth of \(2\,m\) from \(P\).
3 At a depth \(3\,m\) below \(P\).
4 At a depth \(>3\,m\) below \(P\).
Explanation:
The apparent depth of the point \(T\) is \(\dfrac{t}{u}=\dfrac{4}{4 / 3}=3 m\) Correct option is (3).
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
364912
A vessel of depth \({t}\) is half filled with oil of refractive index \({\mu_{1}}\) and the other half is filled with water of refractive index \({\mu_{2}}\). The apperant depth of vessel when viewed from above is
1 \({\dfrac{2 t \mu_{1} \mu_{2}}{\left(\mu_{1}+\mu_{2}\right)}}\)
The apparent depth will be sum of depth due water and oil \({=\dfrac{t_{1}}{\mu_{1}}+\dfrac{t_{2}}{\mu_{2}}=\dfrac{t}{2}\left[\dfrac{1}{\mu_{1}}+\dfrac{1}{\mu_{2}}\right]=\dfrac{t\left(\mu_{1}+\mu_{2}\right)}{2 \mu_{1} \mu_{2}}}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
364913
A vessel of depth ' \(d\) ' is half filled with oil of refractive index \(n_{1}\) and the other half is filled with water of refractive index \(n_{2}\). The apparent depth of this vessel when viewed from above will be
Apparent depth for a system of multi liquid layers \(=\dfrac{t_{1}}{n_{1}}+\dfrac{t_{2}}{n_{2}}\) \(=\dfrac{d / 2}{n_{1}}+\dfrac{d / 2}{n_{2}}=\dfrac{d\left(n_{1}+n_{2}\right)}{2 n_{1} n_{2}}\)
JEE - 2023
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
364914
A layer of benzene \((\mu = 1.5)6\;cm\) deep floats on water\(\left( {\mu = \frac{4}{3}} \right),4\;cm\) deep. When viewed vertically through air, the apparent distance of the bottom of the vessel below the free surface of benzene is
364911
\(\quad T\) is a point at the bottom of a tank filled with water, as shown. The redfractive index of water is \(4 / 3 . Y P T\) is the vertical line through \(T\). To an observer at the position \(O, T\) will appear to be:
1 No change in position of \(T\).
2 At a depth of \(2\,m\) from \(P\).
3 At a depth \(3\,m\) below \(P\).
4 At a depth \(>3\,m\) below \(P\).
Explanation:
The apparent depth of the point \(T\) is \(\dfrac{t}{u}=\dfrac{4}{4 / 3}=3 m\) Correct option is (3).
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
364912
A vessel of depth \({t}\) is half filled with oil of refractive index \({\mu_{1}}\) and the other half is filled with water of refractive index \({\mu_{2}}\). The apperant depth of vessel when viewed from above is
1 \({\dfrac{2 t \mu_{1} \mu_{2}}{\left(\mu_{1}+\mu_{2}\right)}}\)
The apparent depth will be sum of depth due water and oil \({=\dfrac{t_{1}}{\mu_{1}}+\dfrac{t_{2}}{\mu_{2}}=\dfrac{t}{2}\left[\dfrac{1}{\mu_{1}}+\dfrac{1}{\mu_{2}}\right]=\dfrac{t\left(\mu_{1}+\mu_{2}\right)}{2 \mu_{1} \mu_{2}}}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
364913
A vessel of depth ' \(d\) ' is half filled with oil of refractive index \(n_{1}\) and the other half is filled with water of refractive index \(n_{2}\). The apparent depth of this vessel when viewed from above will be
Apparent depth for a system of multi liquid layers \(=\dfrac{t_{1}}{n_{1}}+\dfrac{t_{2}}{n_{2}}\) \(=\dfrac{d / 2}{n_{1}}+\dfrac{d / 2}{n_{2}}=\dfrac{d\left(n_{1}+n_{2}\right)}{2 n_{1} n_{2}}\)
JEE - 2023
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
364914
A layer of benzene \((\mu = 1.5)6\;cm\) deep floats on water\(\left( {\mu = \frac{4}{3}} \right),4\;cm\) deep. When viewed vertically through air, the apparent distance of the bottom of the vessel below the free surface of benzene is
