If L = 2.331 cm, B = 2.1 cm, then L + B =?

1. 4.431 cm

2. 4.43 cm

3. 4.4 cm

4. 4 cm

Subtopic:  Significant Figures |
 78%
From NCERT
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If the length of rod A is 3.25 ± 0.01 cm and that of B is 4.19 ± 0.01 cm then the rod B is longer than rod A by 

(1) 0.94 ± 0.00 cm

(2) 0.94 ± 0.01 cm

(3) 0.94 ± 0.02 cm

(4) 0.94 ± 0.005 cm

Subtopic:  Errors |
 76%
From NCERT
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A physical quantity is given by X=MaLbTc. The percentage error in measurement of M, L and T are α,β and γ respectively. Then maximum percentage error in the quantity X is

1. aα+bβ+cγ

2. aα+bβcγ

3. aα+bβ+cγ

4. None of these

Subtopic:  Errors |
 85%
From NCERT
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A physical quantity \(A\) is related to four observable quantities \(a\), \(b\), \(c\) and \(d\) as follows, \(A= \frac{a^2b^3}{c\sqrt{d}},\) the percentage errors of measurement in \(a\), \(b\), \(c\) and \(d\) are \(1\%\), \(3\%\), \(2\%\) and \(2\%\) respectively. The percentage error in quantity \(A\) will be: 
1. \(12\%\)
2. \(7\%\)
3. \(5\%\)
4. \(14\%\)

Subtopic:  Errors |
 85%
From NCERT
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If the acceleration due to gravity is 10 ms–2 and the units of length and time are changed in kilometer and hour respectively, the numerical value of the acceleration is 

(1) 360000

(2) 72,000

(3) 36,000

(4) 129600

Subtopic:  Dimensions |
 61%
From NCERT
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If L, C and R represent inductance, capacitance and resistance respectively, then which of the following does not represent dimensions of frequency? [This question includes concepts from the 12th syllabus]

(1) 1RC

(2) RL

(3) 1LC

(4) CL

Subtopic:  Dimensions |
 60%
From NCERT
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The number of particles crossing a unit area perpendicular to the \(x\)-axis in unit time is given by \(n= -D\frac{n_2-n_1}{x_2-x_1}\), where \(n_1\) and \(n_2\) are the number of particles per unit volume for the value of \(x\) equal to \(x_1\) and \(x_2\) respectively. The dimensions of \(D\), known as the diffusion constant, will be:
1. \(\left[M^0LT^{2}\right]\)
2. \(\left[M^0L^2T^{-4}\right]\)
3. \(\left[M^0LT^{-3}\right]\)
4. \(\left[M^0L^2T^{-1}\right]\)

Subtopic:  Dimensions |
 59%
From NCERT
PMT - 1979
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With the usual notations, the following equation St=u+12a(2t1) is

(1) Only numerically correct

(2) Only dimensionally correct

(3) Both numerically and dimensionally correct

(4) Neither numerically nor dimensionally correct

Subtopic:  Dimensions |
 51%
From NCERT
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If the dimensions of length are expressed as Gxcyhz; where G, c and h are the universal gravitational constant, speed of light and Planck's constant respectively, then  

(1) x=12,  y=12

(2) x=12,  z=12

(3) y=12,  z=32

(4) y=32,  z=-12

Subtopic:  Dimensions |
 68%
From NCERT
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A highly rigid cubical block A of small mass M and side L is fixed rigidly onto another cubical block B of the same dimensions and of low modulus of rigidity η such that the lower face of A completely covers the upper face of B. The lower face of B is rigidly held on a horizontal surface. A small force F is applied perpendicular to one of the side faces of A. After the force is withdrawn block A executes small oscillations. The time period of which is given by 

(1) 2πMηL

(2) 2πLMη

(3) 2πMLη

(4) 2πMηL

Subtopic:  Dimensions |
From NCERT
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