The document Basic Mathematics and Measurement(Part- 2) - Physics, Solution by DC Pandey NEET Notes | EduRev is a part of the NEET Course DC Pandey (Questions & Solutions) of Physics: NEET.

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**Section-II****Subjective Questions **

__Trigonometry__

**Ques 1: Find the value of****(a) cos 120° ****(b) sin 240°****(c) tan (-60°) ****(d) cot 300° ****(e) tan 330° ****(f) cos (-60°) ****(g) sin (-150°) ****(h) cos (-120°) ****(e) tan 330° ****(f) cos (-60°)****(g) sin (-150°) ****(h) cos (-120°)****Ans: ****Ques 2: Find the value of ****(a) sec ^{2}θ - tan^{2}θ **

__Calculus__

**Ques 3: Differentiate the following functions with respect to x ****(a) x ^{4} + 3x^{2} - 2x **

(b) 2x cosx - x

(c) 24(6x + 7)

(d) 5e

(e) -xe

(b) ∫(4 cos t + t

(c) ∫(2t - 4)

(c) In (5/2)

(d) Zero

(e) - 1

(b) y

(c) y

(d) y

__Graphs__

**Ques 7: Draw the graphs corresponding to the equations ****(a) y = 4x ****(b) y = - 6x ****(c) y = x + 4 ****(d) y = -2x + 4 ****(e) y = 2x - 4 ****(f) y = -4x - 6****Ans: **** ** **Ques 8: For the graphs given below, write down their x-y equations**** ** **Ans:** (a) y = x

(d) y = - x + 2**Ques 9: For the equations given below, tell the nature of graphs.****(a) y = 2x ^{2}**

__Significant Figures__

**Ques 14: Write down the number of significant figures in the following. ****(a) 6428 ****(b) 62.00 m ****(c) 0.0628 cm ****(d) 1200 N****Ans: **(a) Four

(b) Four

(c) Three

(d) Four**Ques 15: Round off to four significant figures. ****(a) 45.689 ****(b) 2.0082****Ans: **(a) 45.69

(b) 2.008**Ques 16: Add 6.75 x 10 ^{3} cm and 4.52x 10^{2} cm with due regards to significant figures.**

__Error Analysis__

**Ques 22: The refractive index (n) of glass is found to have the values 1.49, 1.50, 1.52,1.54 and 1.48. Calculate ****(a) the mean value of refractive index ****(b) absolute error is each measurement ****(c) fractional error and ****(d) percentage error****Ans: **(a) 1.51

(b) + 0.02,+ 0.01,- 0.01,- 0.03,+ 0.03

(c) ± 0.0132

(d) ± 1.32%**Ques 23: The radius of a sphere is measured to be (2.1 + 0.5)cm. Calculate its surface area with error limits.****Ans: **(55.4±26.4) cm^{2}**Ques 24: Calculate focal length of a spherical mirror from the following observations. Object distance u = (50.1 + 0.5) cm and image distance v = (20.1 ± 0.2) cm.****Ans: **(14.3 ± 0.4) cm**Ques 25: Find the percentage error in specific resistance given by where r is the radius having value (0.2+ 0.02)cm, R is the resistance of (60 ± 2) ohm and l is the length of (150 ± 0.1)cm.****Ans: **3.4%**Ques 26: A physical quantity ρ is related to four variables α, β, γ and η as ****The percentage errors o f measurements in α, β, γ and η are 1%, 3%, 4% and 2% respectively. Find the percentage error in ρ.****Ans: **3%**Ques 27: The period of oscillation of a simple pendulum is Length L is about 10 cm and is known to 1 mm accuracy. The period of oscillation is about 0.5 s. The time of 100 oscillations is measured with wristwatch of 1 s time period. What is accuracy in the determination of g.****Ans: **5%

__Vernier Callipers and Screw Gauge__

**Ques 28: 19 divisions on the main scale of a vernier callipers coincide with 20 divisions on the vernier scale. If each division on the main scale is of 1 cm, determine the least count of instrument.****Ans: **0.05 cm**Ques 29: The pitch of a screw guage is 1 mm and there are 100 divisions on the circular scale. While measuring the diameter of a wire, the linear scale reads 1 mm and 47th division on the circular scale coincides with the reference line. The length of the wire is 5.6 cm. Find the curved surface area (in cm ^{2}) of the wire in appropriate number of significant figures.**

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