Question
A particular emission line, detected in the light from a galaxy, has a wavelength
, where
is the proper wavelength of the line. The galaxy distance from us
The correct answer is: ![1.6 cross times 10 to the power of 9 end exponent l y](data:image/png;base64,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)
Related Questions to study
Each side of triangle ABC is divided into three equal parts as shown in the figure ratio of area of hexagon PQRSTU to area of triangle ABC is
![](data:image/png;base64,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)
Each side of triangle ABC is divided into three equal parts as shown in the figure ratio of area of hexagon PQRSTU to area of triangle ABC is
![](data:image/png;base64,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)
Given the family of lines,
Among the lines of the family, the number of lines situated at a distance of
from the point M
is
Given the family of lines,
Among the lines of the family, the number of lines situated at a distance of
from the point M
is
If x1 and x2 are the solution of the equation
-
If x1 and x2 are the solution of the equation
-
The solution set of the system of equations,
is
In this question, we use logarithmic property to solve the equation. Remember. Here solve both equation and find the relation between x and y and then put any variable value in one relation and find one variable.
The solution set of the system of equations,
is
In this question, we use logarithmic property to solve the equation. Remember. Here solve both equation and find the relation between x and y and then put any variable value in one relation and find one variable.
If x & y are real numbers and
then ' y ' cannot take the value(s) :
In this question, we have to which value y cannot give. Here ‘y’ is always non-negative, so it never given the negative value.
If x & y are real numbers and
then ' y ' cannot take the value(s) :
In this question, we have to which value y cannot give. Here ‘y’ is always non-negative, so it never given the negative value.
Statement 1:In the process of drying dishes with a towel, the wetting agent is the dish and the drying agent is the towel
Statement 2:The wetting agent gets wet during the process
Statement 1:In the process of drying dishes with a towel, the wetting agent is the dish and the drying agent is the towel
Statement 2:The wetting agent gets wet during the process
Which of the following are correct ?
In this question, we have to find which option is correct. Check every option which one is satisfy. Use the properties of the logarithmic which going to help to get the answer.
Which of the following are correct ?
In this question, we have to find which option is correct. Check every option which one is satisfy. Use the properties of the logarithmic which going to help to get the answer.
Statement 1:The reaction between
and
occurs in an acidic medium ![NH subscript 3 plus MnO subscript 4 superscript ⊖ not stretchy rightwards arrow MnO subscript 2 plus NO subscript 2](data:image/png;base64,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)
Statement 2:
is reduced to
in acidic medium
Statement 1:The reaction between
and
occurs in an acidic medium ![NH subscript 3 plus MnO subscript 4 superscript ⊖ not stretchy rightwards arrow MnO subscript 2 plus NO subscript 2](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANQAAAAVCAYAAAA+asAJAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAAA3tJREFUeNrtWjFoFEEU/VwRLCQgQSRICIjIEUQECZJCQkCChVXgEAlBDsEiiKSzshJBrCxEkBSSShCLFOEQQggpwiFIEBERQSRYiSBiIcc16//kL7ssM7MzezNzu7fz4ZHLztzM/H/vz/9/ZgGC+JBpxHPEJ8RnxAZiJpglSBBzuYzoImZTz8iZdhGLwTyjK/8QbUlbpPlMp82V0JxzOX2uWVjbDEeYXwxVtGkg3iFOCtqOIfYR4zW0Sxn5bF0HmmSHf+iqOtRuTp/ugGu7gThALLCzNPgzPbspIepjxXirPGbd7OKLDyZ8tq4DTXId8aBkDhUZ9PvIKZZI5rl+Kbo22qm+SiLKCW7L7mb0Q/xEfJeA2u55IFbZ7OKaC6Z8dqJDPEkHMVFRh2rx+kWyh1gRjBf/T9/9huhx36lMvxeI24r5qW1dEKGe5ESoVkG7EFHOVtQuvhxKl89OdIgnuYB4WlGHAt5tL2Xa5niXAQlxWkz8aX7WZvKkhSLKpGJ+ajs0qKGOc6pVtIZ6hfirkY6U0S4+HUqHz050SE+ykdn9ZA6lwrAcahmxlWnbRtxSEGdB4Aj9zLO+xhpEfWb58CF9MHCRiTnIKd8pxHte/7qkViizXXw5lA6fneiQnmSKd8BhRKiooLOmn3/hnQl4Vz5kMoAitcnTQcegPclzsuczxAc4uovSPT2KDPC6gnZxxQVTPjvRITvJQ0juTqqU8sWpySZ/pr93FePpEofSgtOeUhvTCEU1wFgN7BI54rMTHSJBjr9lyaHi3aTPu/SiY4dqcCFN9cWP1C48CHGItHcU87ctFt8uaqiy2CXNhX3NgxUbDqXisxMdRItdQyxZjlBNQ2+PCvZb5TC9puHsOuM1OWUSHSKMg93jYdunfGW0S4PXcuDJoVR8dqJDJPlCx7JD0Zi/PThUg1OiMUvEAT71ogg7D8nl31XIv/xbhuFcdpfdLqa1yaAOpeKzdR1ki7UZoSa4OG97II5JOmoyXvx6yh84uph9mROZznNaUBaHKotdgMm751nvpQrpoHViswL1Ebpl73LBG0GQbKFPG82ZoENxoXz0UU4BOEryBpL7p+BQiZzjA4LJoIMd6dWANPcz0Tg4VLKrd8D9W/a10eEKF8WjLq7fIKmqEBGbQQc75KLI9BaSd8PqJMGZ5BtN0CFIcKggQYJDBXEq/wHQi8hFPK/WhgAAARZ0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXN1Yj48bWk+Tkg8L21pPjxtbj4zPC9tbj48L21zdWI+PG1vPis8L21vPjxtc3Vic3VwPjxtaT5Nbk88L21pPjxtbj40PC9tbj48bW8+JiN4MjI5Njs8L21vPjwvbXN1YnN1cD48bW8gc3RyZXRjaHk9ImZhbHNlIj4mI3gyMTkyOzwvbW8+PG1zdWI+PG1pPk1uTzwvbWk+PG1uPjI8L21uPjwvbXN1Yj48bW8+KzwvbW8+PG1zdWI+PG1pPk5PPC9taT48bW4+MjwvbW4+PC9tc3ViPjwvbWF0aD5z5UC9AAAAAElFTkSuQmCC)
Statement 2:
is reduced to
in acidic medium
Number of cyphers after decimal before a significant figure comes in is
In this question, we have to find the number of cyphers. We need to remember that the cypher number can be found from the logarithmic calculation but to find the actual value or to visualize it we need to remove the logarithm. Here, log105 = 0.6990 and log103 = 0.4770.
Number of cyphers after decimal before a significant figure comes in is
In this question, we have to find the number of cyphers. We need to remember that the cypher number can be found from the logarithmic calculation but to find the actual value or to visualize it we need to remove the logarithm. Here, log105 = 0.6990 and log103 = 0.4770.
The value of p for which both the roots of the quadratic equation, are less than 2 lies in :
In this question, we have to find where the p lies. Here, we use discriminant, which is . if D > 0 and D = 0 then real solution but if D < 0 then imaginary solution. Here we also us Factorization of quadratic equations.
The value of p for which both the roots of the quadratic equation, are less than 2 lies in :
In this question, we have to find where the p lies. Here, we use discriminant, which is . if D > 0 and D = 0 then real solution but if D < 0 then imaginary solution. Here we also us Factorization of quadratic equations.
If
where
determine b –
Just like we can change the base b for the exponential function, we can also change the base b
for the logarithmic function. The logarithm with base b
is defined so that
If
where
determine b –
Just like we can change the base b for the exponential function, we can also change the base b
for the logarithmic function. The logarithm with base b
is defined so that
Statement 1:The two Fe atoms in
have different oxidation numbers
Statement 2:
ions decolourise
solution
Statement 1:The two Fe atoms in
have different oxidation numbers
Statement 2:
ions decolourise
solution
, where
and
is
In this question, we have to find the . Here Solve first B. In B, rationalize it means multiply it denominator by sign change in both numerator and denominator
, where
and
is
In this question, we have to find the . Here Solve first B. In B, rationalize it means multiply it denominator by sign change in both numerator and denominator
Statement 1:The equivalence point refers the condition where equivalents of one species react with same number of equivalent of other species.
Statement 2:The end point of titration is exactly equal to equivalence point
Statement 1:The equivalence point refers the condition where equivalents of one species react with same number of equivalent of other species.
Statement 2:The end point of titration is exactly equal to equivalence point
If and
are the roots of the equation
then the value of
equals
If and
are the roots of the equation
then the value of
equals