A student performs an experiment to determine Young's modulus of a wire, exactly 1 m long by Searle's method. In a particular reading, the student measures extensions in the length of the wire to be 4.00 mm with an uncertainty of ± 0.01 mm at a load of exactly 1 kg. The student also measures the radius of wire to be 1.00 mm with an uncertainty of ± 0.005 mm. The Young's modulus obtained from the reading is (Take g = 10 m/s2) :
 
1.  (7.96 ± 0.10) × 108 N/m22.  (7.96±0.16)×108N/m23.  (8.0±0.2)×108N/m24.  (7.04±0.32)×108N/m2
Subtopic:  Errors |
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NEET 2022 - Target Batch - Aryan Raj Singh
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NEET 2022 - Target Batch - Aryan Raj Singh

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The measurement are made as 18.425 cm, 7.21 cm and 5.0 cm. The additionshould be written as:a 30.635 cmb 30.64 cmc 30.63 cmd 30.6 cm

 

Subtopic:  Significant Figures |
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NEET 2022 - Target Batch - Aryan Raj Singh
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NEET 2022 - Target Batch - Aryan Raj Singh

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A spherical body of mass m and radius r is allowed to fall in a medium of viscosity η. The time in which the velocity of the body increases from zero to 0.63 times the terminal velocity (v) is called time constant (τ). Dimensionally τ can be represented by 

(1) mr26πη

(b) 6πmrηg2

(c) m6πηrv

(4) None of the above

Subtopic:  Dimensions |
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NEET 2022 - Target Batch - Aryan Raj Singh
To view explanation, please take trial in the course below.
NEET 2022 - Target Batch - Aryan Raj Singh

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The frequency of vibration f of a mass m suspended from a spring of spring constant K is given by a relation of this type f=CmxKy; where C is a dimensionless quantity. The value of x and y are 

(1) x=12,y=12

(2) x=12,y=12

(3) x=12,y=12

(4) x=12,y=12

Subtopic:  Dimensions |
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NEET 2022 - Target Batch - Aryan Raj Singh
To view explanation, please take trial in the course below.
NEET 2022 - Target Batch - Aryan Raj Singh

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The quantities A and B are related by the relation, m = A/B, where m is the linear density and A is the force. The dimensions of B are of

(1) Pressure

(2) Work

(3) Latent heat

(4) None of the above

Subtopic:  Dimensions |
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NEET 2022 - Target Batch - Aryan Raj Singh
To view explanation, please take trial in the course below.
NEET 2022 - Target Batch - Aryan Raj Singh

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The velocity of water waves v may depend upon their wavelength λ, the density of water ρ and the acceleration due to gravity g. The method of dimensions gives the relation between these quantities as 

(1) v2gλ-1ρ-1

(2) v2gλρ

(3) v2gλ

(4) v2g1λ3

Subtopic:  Dimensions |
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NEET 2022 - Target Batch - Aryan Raj Singh
To view explanation, please take trial in the course below.
NEET 2022 - Target Batch - Aryan Raj Singh

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The equation of a wave is given by Y=Asinω(xvk) where ω is the angular velocity, x is length and v is the linear velocity. The dimension of k is 

(1) LT

(2) T

(3) T1

(4) T2

Subtopic:  Dimensions |
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NEET 2022 - Target Batch - Aryan Raj Singh
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NEET 2022 - Target Batch - Aryan Raj Singh

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The period of a body under SHM i.e. presented by T=PaDbSc; where P is pressure, D is density and S is surface tension. The value of a, b and c are 

(1) 32,12,1

(2) 1,2,3

(3) 12,32,12

(4) 1,2,13

Subtopic:  Dimensions |
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NEET 2022 - Target Batch - Aryan Raj Singh
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NEET 2022 - Target Batch - Aryan Raj Singh

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The velocity of a freely falling body changes as gphq where g is acceleration due to gravity and h is the height. The values of p and q are 

(1) 1,12

(2) 12,12

(3) 12,1

(4) 1, 1

Subtopic:  Dimensions |
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NEET 2022 - Target Batch - Aryan Raj Singh
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NEET 2022 - Target Batch - Aryan Raj Singh

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A small steel ball of radius r is allowed to fall under gravity through a column of a viscous liquid of coefficient of viscosity η. After some time the velocity of the ball attains a constant value known as terminal velocity vT. The terminal velocity depends on (i) the mass of the ball m, (ii) η, (iii) r and (iv) acceleration due to gravity g. Which of the following relations is dimensionally correct 

(1) vTmgηr

(2) vTηrmg

(3) vTηrmg

(4) vTmgrη 

Subtopic:  Dimensions |
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NEET 2022 - Target Batch - Aryan Raj Singh
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NEET 2022 - Target Batch - Aryan Raj Singh

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