In Melde's experiment, the string vibrates in 4 loops when a 50 g… - Vidyadip

MCQ

In Melde's experiment, the string vibrates in $4$ loops when a $50$ gram weight is placed in the pan of weight $15$ gram. To make the string to vibrates in 6 loops the weight that has to be removed from the pan is

A
$0.0007 \mathrm{~kg} w$
B
$0.0021 \mathrm{~kg} w$
✓
$0.036 \mathrm{~kg} \mathrm{wt}$
D
$0.0029 \mathrm{~kg} w t$

✓

Answer

Correct option: C.

$0.036 \mathrm{~kg} \mathrm{wt}$

Frequency of vibration of string is given by
$ln=\frac{p}{2}l\sqrt{\frac{T}{m}} \Rightarrow p \sqrt{T}=\text { constant } \Rightarrow \frac{p_1}{p_2}=\sqrt{\frac{T_2}{T_1}} $
$\text { Hence } \frac{4}{6}=\sqrt{\frac{T_2}{(50+15)}} g m-\text { force}\Rightarrow T_2=28.8 \mathrm{gm}-f$
Hence weight removed from the pan$=T_1T_2=65-28.8=3.62\ \mathrm{gm} \ \text {-force }=0.036 \mathrm{~kg} \text {-f. }$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "MCQ" from Waves and Sound→Waves and Sound — all question types→JEE physics STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

The ammeter has range $1\, ampere$ without shunt. the range can be varied by using different shunt resistances. The graph between shunt resistance and range will have the nature

If the distance between the earth and the sun becomes half its present value, the number of days in a year would have been

A vessel containing 5 litres of a gas at $0.8 \mathrm{~m}$ pressure is connected to an evacuated vessel of volume 3 litres. The resultant pressure inside will be (assuming whole system to be isolated)

The $v-t$ graph of a moving object is given in figure. The maximum acceleration is

A $150 m$ long train is moving with a uniform velocity of $45 km / h$. The time taken by the train to cross a bridge of length 850 meters is

The stationary wave produced on a string is represented by the equation $y=5 \cos (\pi x / 3) \sin 40 \pi t$. Where $x$ and $y$ are in $\mathrm{cm}$ and $t$ is in seconds. The distance between consecutive nodes is

Which one of the series of hydrogen spectrum is in the visible region

A Carnot engine whose low temperature reservoir is at $7^{\circ} \mathrm{C}$ has an efficiency of $50 \%$. It is desired to increase the efficiency to $70 \%$. By how many degrees should the temperature of the high temperature reservoir be increased

Ultrasonic signal sent from SONAR returns to it after reflection from a rock after a lapse of $1 \mathrm{sec}$. If the velocity of ultrasound in water is $1600 \mathrm{~ms}$, the depth of the rock in water is

If a change in current of $0.01 \mathrm{~A}$ in one coil produces a change in magnetic flux of $1.2 \times 10^{-2} \mathrm{~Wb}$ in the other coil, then the mutual inductance of the two coils in henries is