How often are the hands of a clock at a right | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) In every hour, there are two positions where the hands of a clock are at a right angle $(90^{\circ})$.However, due to the relative speed of the ha

Vedclass · Accepted Answer

$44$

Vedclass · Answer

(B) In every hour, there are two positions where the hands of a clock are at a right angle $(90^{\circ})$.However, due to the relative speed of the hands, these positions are not perfectly distributed.In every $12$ hours, the hands are at a right angle $22$ times.Specifically, between $2$ and $4$ o'clock, there are only $3$ right angles instead of $4$, and similarly between $8$ and $10$ o'clock, there are only $3$ right angles instead of $4$.Therefore, in $12$ hours, the total number of times the hands are at a right angle is $22$.Since a day consists of $24$ hours, the total number of times the hands are at a right angle in a day is $22 	imes 2 = 44$ times.

How often are the hands of a clock at a right angle every day (in $\times$)?

Similar Questions

After $9$ o'clock,at what time between $9$ pm and $10$ pm will the hour and minute hands of a clock point in opposite direction?

The time shown by a clock was $2$ o'clock. After a certain time, the mirror image shown by the clock was $15$ minutes past $7$. What is the time lag between the two times?

$A$ watch which gains uniformly is $2$ minutes slow at noon on Monday and is $4$ minutes $48$ seconds fast at $2$ p.m. on the following Monday. When was it correct?

The watch which gains uniformly is $2$ minutes slow at noon on Sunday and is $4$ minutes $48$ seconds fast at $2$ $pm$ on the following Sunday. When was the watch correct?

At what time between $4: 30$ and $5$ will the hands of a clock be in a straight line?

Vedclass Test Series

Exam Paper Generator

Online Exam Module