A doctor has advised to use + 1D and + 1.5D lens for his left eye and right eye respectively of a patient. What type of defect he has …………………
A) short – sightedness
B) long-sightedness
C) cataract
D) presbyopia..
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8. If \( A=\left[\begin{array}{ll}1 & 3 \\ 4 & 1\end{array}\right] \), then find \( \left|3 A^{\prime}\right| \).
Matrix A \(=\begin{bmatrix}1&3\\4&1\end{bmatrix}_{2\times2}\) |3 A'| = 2 \(A'=\begin{bmatrix}1&4\\3&1\end{bmatrix}_{2\times2}\) We know that ⇒ |K A| = (K)3 |A| ⇒ |3 A'| = 32 |A'| \(A'=\begin{bmatrix}1&4\\3&1\end{bmatrix}\) ⇒ |A'| = 1 x 1 - 4 x 3 ⇒ 1 - 12 = -11 ⇒...
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In \( III ^{ rd } \) group of salt analysis for cations \( NH _{4} Cl \) and \( NH _{4} OH \) are added as group reagents. Which of the following can be used instead of \( NH _{4} Cl \) ? (a) \( NaCl \) (b) \( \left( NH _{4}\right)_{2} SO _{4} \) (c) \( \left( NH _{4}\right)_{2} C _{2} O _{4} \) (d) \( NH _{4} NO _{3} \)
d) NH4NO3 As it provides NH+4 ions which suppresses the ionisation of NH4OH so that only the group 3rd cations are precipitated as hydroxides because of their low solubility products and NO−3 ions...
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4. The value of \( \left(\frac{1}{2}\right)^{-2}+\left(\frac{1}{3}\right)^{-2}+\left(\frac{1}{4}\right)^{-2} \) is (a) \( \frac{61}{144} \) (b) \( \frac{144}{61} \) (c) 29 (d) none of these
Correct answer is:- (c) 29 Explanation:- 1/2-2 + 1/3-2 + 1/4-2 = 22 + 32 + 42 (x-1 = 1/x) = 4 + 9 + 16 = 29
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Consider a particle of mass \( m \) having linear momentum \( P \) at position \( r \) relative to the origin \( O \). Which of the following equations correctly relates \( r , P , L \) ? a) \( \left[\left(\frac{d L}{d t}\right)+r x\left(\frac{d P}{d t}\right)\right]=0 \) b) \( \left[\left(\frac{d L}{d t}\right)-r x\left(\frac{d P}{d t}\right)\right]=0 \) c) \( \left[\left(\frac{d L}{d t}\right) \times\left(\frac{d r}{d t}\right) \times P\right]=0 \) d) \( \left[\left(\frac{d L}{d t}\right)-\left(\frac{d r}{d t}\right) \times P\right]=0 \)
Correct answer is (b) We know that \(\tau\) = r × F ∵ \(\tau\) \(= \frac{dL}{dt},\) \(F = \frac{dP}{dt}\) \(\left(\frac{dL}{dt}\right) = r \times \left(\frac{dP}{dt}\right)\) \(\left(\frac{dL}{dt}\right) - r \times \left(\frac{dP}{dt}\right) = 0\)
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A doctor advised to use 4D lens. The focal length of the lens is ……………………..
Correct option is A) 25cm
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A doctor has advised to use 2.5D lens. The focal length of the lens is …………………..
Correct option is A) 40 cm
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The sum value of the series \( \sin p+x \sin (p+q)+ \) \( \left[\left(x^{2}\right) / 2 !\right] \sin (p+2 q)+\ldots \ldots . . \) is
Given series is sin(p + x) sin(p + q) + x2/2! sin(p + 2q) + .... We know that eiα = cos α + i sin α. We develop new series cos p + x cos(p +...
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A doctor advised a person to take of insulin injection because his :
C) blood sugar was high
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H.C.F of \( \left(x^{2}-3 x+2\right) \) and \( \left(x^{2}-4 x+3\right) \)
x2 −3x+2=x 2 −2x−x+2 x(x−2)−1(x−2)=(x−2)(x−1) Now x2 −4x+3=x 2 −3x−x+3 x(x−3)−1(x−3)=(x−3)(x−1) Thus, the only common factor is (x-1)
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