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To estimate $g$ (from $g = 4 π^{2} \frac{L}{T^{2}}$ ), error in measurement of $L$ is $+ 2 %$ and error in measurement of $T$ is $+ 3 %$ . The error in estimated $g$ will be,

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Important Questions on Physical World and Measurement

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Alpha Question Bank for Engineering: Physics>Chapter 3 - Physical World and Measurement>Exercise - 1>Q 11

The least count of a stopwatch is

0.2 s

. The time of

20

oscillations of a pendulum is measured to be

25 s

. The percentage error in the time period is

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Alpha Question Bank for Engineering: Physics>Chapter 3 - Physical World and Measurement>Exercise - 1>Q 12

The dimensions of a rectangular block measured with a vernier calipers having least count of

0.1 mm

5 mm \times 10 mm \times 5 mm

. The maximum percentage error in measurement of volume of the block is

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Alpha Question Bank for Engineering: Physics>Chapter 3 - Physical World and Measurement>Exercise - 1>Q 13

An experiment measures quantities

x, y, z

and then

t

is calculated from the data as

t = \frac{x y^{2}}{z^{3}}

. If percentage errors in

x, y

and

z

are respectively

1 %, 3 %, 2 %

, then percentage error in

t

is:

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Alpha Question Bank for Engineering: Physics>Chapter 3 - Physical World and Measurement>Exercise - 1>Q 14

The external and internal diameters of a hollow cylinder are measured to be

(4.23 \pm 0.01) cm

and

(3.89 \pm 0.01) cm

. The thickness of the wall of the cylinder is

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Alpha Question Bank for Engineering: Physics>Chapter 3 - Physical World and Measurement>Exercise - 1>Q 15

The mass of a ball is $1.76 kg$ . The mass of $25$ balls is

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Alpha Question Bank for Engineering: Physics>Chapter 3 - Physical World and Measurement>Exercise - 1>Q 16

Two resistors

R_{1} (24 \pm 0.5) Ω

and

R_{2} (8 \pm 0.3) Ω

are joined in series. The equivalent resistance is

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Alpha Question Bank for Engineering: Physics>Chapter 3 - Physical World and Measurement>Exercise - 1>Q 17

In a meter bridge circuit, the known resistance used in resistance box is $100 Ω$ (without any error and the unknown resistor is put in right arm). The null point is found to be $40 cm$ from the left end. If $mm$ scale is used in the meter bridge then the resistance of the unknown resistor is:

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Alpha Question Bank for Engineering: Physics>Chapter 3 - Physical World and Measurement>Exercise - 1>Q 18

In the formula

X = 3 Y Z^{2}

, the quantities

X

and

Z

have the dimensions of capacitance and magnetic induction, respectively. The dimensions of

Y

in the MKS system are,

To estimate g (from g=4π2LT2 ), error in measurement of L is + 2% and error in measurement of T is + 3%. The error in estimated g will be,

Important Questions on Physical World and Measurement

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To estimate $g$ (from $g = 4 π^{2} \frac{L}{T^{2}}$ ), error in measurement of $L$ is $+ 2 %$ and error in measurement of $T$ is $+ 3 %$ . The error in estimated $g$ will be,