A spectroscopic instrument can resolve two nearly wavelength `lambda and lambda = Delta lambda if lambda//Delta lambda` is smaller than `8000` This is used to study the spectral lines of the belmar series of hydrogen Approxmately how many lines will be resolved by the instrument?
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If `[(lambda^(2)-2lambda+1,lambda-2),(1-lambda^(2)+3lambda,1-lambda^(2))]=Alambda^(2)+Blambda+C`, where A, B and C are matrices then find matrices B a
We have `[(lambda^(2)-2lambda+1,lambda-2),(1-lambda^(2)+3lambda,1-lambda^(2))]=Alambda^(2)+Blambda+C` Putting `lambda=0`, we get `C=[(1,-2),(1,1)]` Putting `lambda=1`, we get `A+B+C=[(0, -1),(3,0)]` ...(1) Putting `lambda=-1`, we get `A-B+C=[(4,-3),(-3,0)]` Subtracting (2) from (1), we get `2B[(0, -1),(3,0)]-[(4,-3),(-3,0)]=[(-4,2),(6,0)]` `:. B=[(-2,...
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If the equations `4x^(2)-x-1=0` and `3x^(2)+(lambda+mu)x+lambda-mu=0` have a root common, then the rational values of `lambda` and `mu` are
Correct Answer - C `(c )` Roots of `4x^(2)-x-1=0` are irrational. So, one root common implies both roots are common. `:. (4)/(3)=(-1)/(lambda+mu)=(-1)/(lambda-mu)=(-2)/(2lambda)=(0)/(2mu)` So, `lambda=(-3)/(4)`, `mu=0`
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Find all values of `lambda` for which the `(lambda-1)x+(3lambda+1)y+2lambdaz=0(lambda-1)x+(4lambda-2)y+(lambda+3)z=0 2x+(3lambda+1)y+3(lambda-1)z=0` p
Correct Answer - D `(d)` `|{:(lambda-1,3lamda+1,2lambda),(lambda-1,4lambda-2,lambda+3),(2,3lambda+1,3(lambda-1)):}|=0` `implieslambda=0` or `3` If `lambda=0`, the equations become `-x+y=0`, `-x-2y+3z=0` and `2x+y-3z=0`, `:. (x)/(6-3)=(y)/(6-3)=(z)/(-1+4)`
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The photoelectric threshold wavelength for lithium is `8000 Å`. Find the maximum kinetic energy in eV of the emitted electrons from the surface by lig
Correct Answer - 0.5156 eV
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Write information about the instrument which is used for observing smaller organisms or cells.
1. To observe cells or organisms of smaller size we use a microscope. 2. Larger cells can be seen through simple microscope but to observe smaller cells we require compound microscope. 3....
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Rahit purchased a washing machine in an installment scheme .It is sold for Rs 8000 cash or Rs 1000 cash down followed by equal instalments of Rs 18000
Correct Answer - 0.3508
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X and Y started a business with investments of ₹ 5000 and ₹ 8000 respectively. After 6 months, Y withdrew an amount of ₹ 2000 from his investment and
Correct Answer - ₹4487
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In case of an adiabatic irreversible process the following must be correct \( \Delta T_{\text {sys }}=0 \) \( \Delta S_{\text {surr }}=0 \) \( \Delta S_{\text {sys }}
We have given, Adiabatic irreversible process. It means, q = 0 (There is no heat exchange between system and surrounding) We know that, ΔSsurr = qirr/T = 0/T = 0 ∴ ΔSsurr = 0.
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`vec(r ) =(lambda-1) hat(i) + (lambda+1) hat(j) -(lambda+1) hat(k)` vec(r ) =(1-mu) hat(i) + (2mu -1) hat(j) + (mu +2) hat(k).`
Correct Answer - `(5sqrt(2))/(2)` units
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Two triangles ABC and PQR are such that `AB=3 cm, AC=6 cm, angle A=70^(@), PR=9 cm, angle P=70^(@) and PQ=4.5 cm`. Show that `Delta ABC~Delta PQR` and
Correct Answer - SAS-similarity
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