List of practice Questions

In an experiment of measuring the refractive index of a glass slab using travelling microscope in physics lab, a student measures real thickness of the glass slab as 5.25 mm and apparent thickness of the glass slab as 5.00 mm. Travelling microscope has 20 divisions in one cm on main scale and 50 divisions on vernier scale is equal to 49 divisions on main scale. The estimated uncertainty in the measurement of refractive index of the slab is $\frac{𝑥}{10} ×10^{−3}$, where 𝑥 is _______.
Match List I with List II:
List-I (Physical Quantity)List-II (Dimensional Formula)
(A)Pressure Gradient(I)\([M^0L^2T^{–2}]\)
(B)Energy density(II)\([M^1L^{–1}T^{–2}]\)
(C)Electric field(III)\([M^1L^{–2}T^{–2}]\)
(D)Latent heat(IV)\([M^1L^1T^{–3}A^{–1}]\)

Choose the correct answer from the options given below:
Two resistances are given as \(R_1=(10 ±0.5) Ω\) and \(R_2= (15±0.5) Ω\). The percentage error in the measurement of equivalent resistance when they are connected in parallel is -
A physical quantity P is given as
\( P = \frac{a^2b^2 }{ c\sqrt{d}} .\)
The percentage error in the measurement of a,b, c and d are1%, 2%, 3% and 4% respectively. The percentage error in the measurement of quantity P  will be
If force (F), velocity (V) and time (T) are considered as fundamental physical quantity, then dimensional formula of density will be :
A 2 meter long scale with least count of 0.2 cm is used to measure the locations of objects on an optical bench. While measuring the focal length of a convex lens, the object pin and the convex lens are placed at 80 cm mark and lm mark, respectively. The image of the object pin on the other side of lens coincides with image pin that is kept at 180 cm mark. The % error in the estimation of focal length is
Choose the correct length \(( L )\) versus square of time period (T2) graph for a simple pendulum executing simple harmonic motion

For a simple harmonic motion in a mass spring system shown, the surface is frictionless When the mass of the block is $1\, kg$, the angular frequency is $\omega_1$ When the mass block is $2 \,kg$ the angular frequency is $\omega_2$ The ratio $\omega_2 / \omega_1$ is
simple harmonic motion in a mass

In an LC oscillator, if values of inductance and capacitance become twice and eight times, respectively, then the resonant frequency of oscillator becomes $x$ times its initial resonant frequency $\omega_0$ The value of $x$ is:
In an LC oscillator, if values of inductance and capacitance become twice and eight times, respectively, then the resonant frequency of oscillator becomes $x$ times its initial resonant frequency $\omega_0$ The value of $x$ is:

In the figure given below, a block of mass $M=490 g$ placed on a frictionless table is connected with two springs having same spring constant $\left( K =2 N m ^{-1}\right)$ If the block is horizontally displaced through ' $X$ ' $m$ then the number of complete oscillations it will make in $14 \pi$ seconds will be

The general displacement of a simple harmonic oscillator is $x= A\sin\omega t$. Let $T$ be its time period The slope of its potential energy $(U)$ - time (t) curve will be maximum when $t=\frac{T}{\beta}$ The value of $\beta$ is
A block of a mass 2 kg is attached with two identical springs of spring constant 20 N/m each.
A block of a mass $2\, kg$ is attached with two identical springs of spring constant $20\, N / m$ each The block is placed on a frictionless surface and the ends of the springs are attached to rigid supports (see figure) When the mass is displaced from its equilibrium position, it executes a simple harmonic motion The time period of oscillation is $\frac{\pi}{\sqrt{x}}$ in SI unit The value of $x$ is
$T$ is the time period of simple pendulum on the earth's surface Its time period becomes $x T$ when taken to a height $R$ (equal to earth's radius) above the earth's surface Then, the value of $x$ will be:

Find period of oscillation if mass 'm' is displaced parallel to earth's surface & released?

A particle is performing S.H.M whose distance from mean position varies as \(x = Asin(wt)\). Find the position of the particle from the mean position, where kinetic energy and potential energy is equal.

Select the correct graph showing the difference (d) between total energy and potential energy of a particle in linear SHM with position x of the particle (x = 0 is the mean position)
In figure $(A)$, mass ' $2\, m$ ' is fixed on mass ' $m$ ' which is attached to two springs of spring constant $k$ In figure $(B)$, mass ' $m$ ' is attached to two spring of spring constant ' $k$ ' and ' $2\, k$ ' If mass ' $m$ ' in $(A)$ and $(B)$ are displaced by distance ' $x$ ' horizontally and then released, then time period $T_1$ and $T_2$ corresponding to (A) and (B) respectively follow the relation
A mass $m$ is attached to two springs as shown in the figure. The spring constants of the two springs are $K_1$ and $K_2$. For the frictionless surface, the time period of oscillation of mass $m$ is:
A mass m is attached to two strings as shown in figure.
The energy of an electromagnetic wave contained in a small volume oscillates with
A compass needle of oscillation magnetometer oscillates 20 times per minute at a place P of dip 30°. The number of oscillations per minute become 10 at another place Q of 60° dip. The ratio of the total magnetic field at the two places respectively is \(\frac{4}{√x}\) The value of x is 
A block of a mass 2 kg is attached with two identical springs of spring constant 20 N/m each.
A block of a mass $2\, kg$ is attached with two identical springs of spring constant $20\, N / m$ each The block is placed on a frictionless surface and the ends of the springs are attached to rigid supports (see figure) When the mass is displaced from its equilibrium position, it executes a simple harmonic motion The time period of oscillation is $\frac{\pi}{\sqrt{x}}$ in SI unit The value of $x$ is

A stone of mass $1 \, kg$ is tied to end of a massless string of length $1 m$ If the breaking tension of the string is $400\, N$, then maximum linear velocity, the stone can have without breaking the string, while rotating in horizontal plane, is :

Heat is given to an ideal gas in an isothermal process
A Internal energy of the gas will decrease
B Internal energy of the gas will increase
C Internal energy of the gas will not change
D The gas will do positive work E The gas will do negative work
Choose the correct answer from the options given below:
A small particle moves to position $5 \hat{i}-2 \hat{j}+\hat{k}$ from its initial position $2 \hat{i}+3 \hat{j}-4 \hat{k}$ under the action of force $5 \hat{i}+2 \hat{j}+7 \hat{k} N$. The value of work done will be ________$J$