Identify the correct statement - Vidyadip

MCQ

Identify the correct statement

A
The greater the mass of a simple pendulum bob, the shorter is its frequency of oscillation
B
A simple pendulum with a bob mass $M$ swings with an angular amplitude of $40^o$. When its angular amplitude is $20^o$, the tension in the string is less than $Mg$ $\cos 20^o$
C
As the length of a simple pendulum is increases, the maximum velocity of the bob for the same amplitude, during its oscillation also increases
✓
The fractional change in the time period of a pendulum on changing the temperature is independent of the length of the pendulum

✓

Answer

Correct option: D.

The fractional change in the time period of a pendulum on changing the temperature is independent of the length of the pendulum

d
$\mathrm{T}=2 \pi \sqrt{\frac{\ell}{\mathrm{g}}}$

$\mathrm{T}=2 \pi \sqrt{\frac{\ell_{0}(1+\alpha)}{\mathrm{g}}}$

Increase in temperature

$\frac{\Delta \mathrm{T}}{\mathrm{T}}=\frac{1^{1}}{2} \frac{\Delta \theta}{\theta}$ this has no term of lengths

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

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

$10$ resistors, each of resistance $R$ are connected in series to a battery of $emf$ $E$ and negligible internal resistance. Then those are connected in parallel to the same battery, the current is increased $n$ times. The value of $n$ is :

Center of mass of a system of three particles of masses $1, 2, 3\, kg$ is at the point $(1\, m, 2\, m, 3\, m)$ and center of mass of another group of two particles of masses $2 \,kg$ and $3\, kg$ is at point $(-1 \,m, 3\, m, -2\, m)$ . Where a $5\, kg$ particle should be placed, so that center of mass of the system of all these six particles shifts to center of mass of the first system?

Two identical capacitors have same capacitance $C$. One of them is charged to the potential $V$ and other to the potential $2 V$ . The negative ends of both are connected together. When the positive ends are also joined together, the decrease in energy of the combined system is :

An elevator weighing $6000\,kg$ is pulled upward by a cable with an acceleration of $5\,ms^{-2}$. Taking $g$ to be $10\,ms^{-2}$. Then the tension in the cable is ............ $N$

$C_1$ and $C_2$ are two hollow concentric cubes enclosing charges $2 Q$ and $3 Q$ respectively as shown in figure. The ratio of electric flux passing through $C _1$ and $C _2$ is $:$

$A$ block of mass $m$ moves on a horizontal rough surface with initial velocity $v$. The height of the centre of mass of the block is $h$ from the surface. Consider a point $A$ on the surface.

A wire carrying current $I$ is tied between points $P$ and $Q$ and is in the shape of a circular arc of radius $R$ due to a uniform magnetic field $B$ (perpendicular to the plane of the paper, shown by $\times \times \times $) in the vicinity of the wire. If the wire subtends an angle $2\theta_0$ at the centre of the circle (of which it forms an arc) then the tension in the wire is

$A$ small block of mass $m$ is placed on $a$ wedge of mass $M$ as shown, which is initially at rest. All the surfaces are frictionless . The spring attached to the other end of wedge has force constant $k$. If $a'$ is the acceleration of $m$ relative to the wedge as it starts coming down and $A$ is the acceleration acquired by the wedge as the block starts coming down, then Maximum velocity of $M$ is:

A machine gun fires a bullet of mass $40\,g$ with a velocity $1200\,\,m{s^{ - 1}}.$ The man holding it can exert a maximum force of $144\,N$ on the gun. How many bullets can he fire per second at the most

A point $P$ consider at contact point of a wheel on ground which rolls on ground without slipping then value of displacement of point $P$ when wheel completes half of rotation (If radius of wheel is $1 m$ )