Question
A ray of light is incident at the glass–water interface at an angle i, it emerges finally parallel to the surface of water, then the value of
would be
![](data:image/png;base64,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)
- (4/3) sin i
- 1/sin i
- 4/3
- 1
The correct answer is: 1/sin i
For glass-water interface
…(i)
For water-air interface
…(ii)
![g mu subscript w end subscript cross times subscript w end subscript mu subscript a end subscript equals fraction numerator sin invisible function application i over denominator sin invisible function application r end fraction cross times fraction numerator sin invisible function application r over denominator sin invisible function application 9 0 to the power of o end exponent end fraction equals sin invisible function application i](data:image/png;base64,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)
![fraction numerator mu subscript w end subscript over denominator mu subscript g end subscript end fraction cross times fraction numerator mu subscript a end subscript over denominator mu subscript w end subscript end fraction equals sin invisible function application i rightwards double arrow mu subscript g end subscript equals fraction numerator 1 over denominator sin invisible function application i end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANYAAAArCAYAAAAE73bpAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAY00gKyAAABBRJREFUeNrtnE+EVVEcx48xRkaGt0iSEUlazTZJiyFjzCIjMpKMMYzRIi0eSTJaRJIk7TLGeMaQtGiRaJEW7ZIkSTxplcQYyZMRr9/P/T3duXPPm3veu+fd87vv++Fr7j1z37vXeed3/t3vOcbYWSJddUgHAGTgMWnaIT00UDEAF46SbpDe+77RF9JBh3RUDEAzNdICqenzJgOkRkr6oCU9RLRXDKAYvAbWcdKrlPQTlvTQKEPFAEoYWOdJqynpc6QVBZmjvWIAJQ2sB6TLibQzpF+keQWZo71iACUNrKekF6Q9Jpot4cK4THpGmkq5tpU2RPohQcgMk+ryPb3EtWI4RHpO2pJrzqJ8IbB8sCFdpj/ydzyWPpy49hHpghxfkQe7KOdV0s0CMselYqiQvpLOydjskgQmQGDlCrc6mw7XcxDdkULJrVNNCuagFNh9BWSOS8VQledvsRSrGAACKzempMbPCr8TWiMtku6TZkjrsfNe41oxPEm0Ynw+ifKFwMqbWceu0DEZn3w00fuhSTn/LGOXXuNaMXAlMCHH3Or+Jo2gfCGwimZAHqbVOo3I+XpBz+NaMUxL97XVrd0s0Q/ckN8HZMvvpApnw2x3M/DYZkxRpp4mXSOdNNFkzEIJAusI6QPiBYTCoAgA9VwXuf5PK4dNNFvZaNPtaFrO+bVAXXoFr0mjlnt06uKvOowxsYJAaXCFHlTNDErjrfn/Ej1rV7ApQcWvBlqTQnMSXGl06uLn/P4m3eLd8LGCoNM8BRmDq4wtVXxSodJBYI0n0nhiYsvy+XYu/mZG3dpl8gMrCHKqKbpV1uB66RBUoTy3C1ybvzGRp9ElsLJOctjc/S4sy3evWf4f4gqCZgAKutVyCSyNXUFmr4lmID+ZyHaVZ2DZ3P2uBfB2mxbL1woCdAXRFcwFnuZ/l3NgcUu40sVvkGWMhRUEmLwIGts4qZvA4hfknS7vqUpruhvalxb1bVD1S3DNW7pO3QRWfCmPL1xWEDBDcg2Pv2oywTGKog98jM3+mshXeSDnwNow/tfAuawgYB6STsnxrHwOAJBofVw8lfvNdntVKFskwI8JgsJ1BcFMYkLDNvGhLbDgxwS54rqCgCdE4otH+bOL/ZyBGr1g8K+FB2/dcE+O+eU4ex0nPN8zZD+myt1ksQNueFSky1SXQvuzB+OSkP2YKr1g8K/pab18UrQf04rG3WSxA254jEmXivWddNdEs4q+CdaPqXE3WeyAC+IU6ce0otELBv8aSCMoP6ZGLxj8a8A2RAjGj6nRC6Z9a2zgh6D8mBq9YNq3xgb5EaQfU6MXrAxbY4OSo9ELpn1rbNAHaPSCad8aG4AdFOEF65bQtsYGYAdFeMHymuzQvDU26NPWCwDQIUV5wQAIln/uBhE44hzP7wAAAch0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZyYWM+PG1zdWI+PG1pPiYjeDNCQzs8L21pPjxtaT53PC9taT48L21zdWI+PG1zdWI+PG1pPiYjeDNCQzs8L21pPjxtaT5nPC9taT48L21zdWI+PC9tZnJhYz48bW8+JiN4RDc7PC9tbz48bWZyYWM+PG1zdWI+PG1pPiYjeDNCQzs8L21pPjxtaT5hPC9taT48L21zdWI+PG1zdWI+PG1pPiYjeDNCQzs8L21pPjxtaT53PC9taT48L21zdWI+PC9tZnJhYz48bW8+PTwvbW8+PG1pPnNpbjwvbWk+PG1vPiYjeDIwNjE7PC9tbz48bWk+aTwvbWk+PG1vPiYjeDIxRDI7PC9tbz48bXN1Yj48bWk+JiN4M0JDOzwvbWk+PG1pPmc8L21pPjwvbXN1Yj48bW8+PTwvbW8+PG1mcmFjPjxtbj4xPC9tbj48bXJvdz48bWk+c2luPC9taT48bW8+JiN4MjA2MTs8L21vPjxtaT5pPC9taT48L21yb3c+PC9tZnJhYz48L21hdGg+b5CKhAAAAABJRU5ErkJggg==)
Related Questions to study
The PV diagram shows four different possible paths of a reversible processes performed on a monoatomic ideal gas Path A is isobaric, path B is isothermal, path C is adiabatic and path D is isochoric For which process does the temperature of the gas decrease?
![](data:image/png;base64,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)
The PV diagram shows four different possible paths of a reversible processes performed on a monoatomic ideal gas Path A is isobaric, path B is isothermal, path C is adiabatic and path D is isochoric For which process does the temperature of the gas decrease?
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)
A copper wire of length 4 m and area of cross-section 1.2 cm2 is stretched with a force of If young's modulus for copper is
What will be the length increase of the wire?
A copper wire of length 4 m and area of cross-section 1.2 cm2 is stretched with a force of If young's modulus for copper is
What will be the length increase of the wire?
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means
What will be the nature of change in internal energy in case of processes shown below?
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)
What will be the nature of change in internal energy in case of processes shown below?
![](data:image/png;base64,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)
Young's modulus of rubber is
and area of cross section is 2 cm2 if force of
dyne is applied along its length then its initial length L becomes….
Young's modulus of rubber is
and area of cross section is 2 cm2 if force of
dyne is applied along its length then its initial length L becomes….
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means '
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means '
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means or
.
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means or
.
PV versus T graph of equal masses of
, He and
is shown in figure Choose the correct alternative
![](data:image/png;base64,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)
PV versus T graph of equal masses of
, He and
is shown in figure Choose the correct alternative
![](data:image/png;base64,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)
If
then ![fraction numerator 1 over denominator S i n invisible function application alpha minus square root of c o t to the power of 2 end exponent invisible function application alpha minus c o s to the power of 2 end exponent invisible function application alpha end root end fraction equals](data:image/png;base64,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)
If
then ![fraction numerator 1 over denominator S i n invisible function application alpha minus square root of c o t to the power of 2 end exponent invisible function application alpha minus c o s to the power of 2 end exponent invisible function application alpha end root end fraction equals](data:image/png;base64,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)
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means .
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means .