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Find the angle in radian though which a pendulum swings if its length is 75 cm and

the tip describes an arc of length

i) 10 cm

ii) 15 cm

iii) 21 cm

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\frac{2}{15} radian

\frac{1}{5} radian

\frac{7}{25} radian

\frac{2}{25} radian

\frac{1}{5} radian

\frac{7}{25} radian

\frac{2}{15} radian

\frac{1}{4} radian

\frac{7}{25} radian

\frac{3}{15} radian

\frac{1}{5} radian

\frac{7}{25} radian

answer is A.

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Detailed Solution

Suppose,
A circle of radius= r An arc of length= l Subtends an angle

= θ

radian
Pendulum swings length (r)=75 cm
Now, we know that,

θ = \frac{l}{r}

(i) for l = 10 cm

the angle,

θ = \frac{10}{75}

= \frac{2}{15}

radian

(ii) for l = 15 cm

, the angle,

θ = \frac{15}{75}

= \frac{1}{5}

radian

(iii) for l = 21 cm

the angle,

θ = \frac{21}{75}

= \frac{7}{25}

radian
Correct option is 1.

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