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A
steel tape 1m long is correctly calibrated for a temperature of 27.0
°C. The length of a steel rod measured by this tape is found to
be 63.0 cm on a hot day when the temperature is 45.0 °C. What is
the actual length of the steel rod on that day? What is the length of
the same steel rod on a day when the temperature is 27.0 °C?
Coefficient of linear expansion of steel = 1.20 × 10^–5
K^–1.

In a meter bridge experiment, resistances are connected as shown in figure. The balancing length $l_1$ is $55\text{cm}$. Now an unknown resistance $x$ is connected in series with $P$ and the new balancing length is found to be $75\text{cm}$. The value of $x$ is

A particle is moving with speed $v=b\sqrt{x}$ along positive x-axis. Calculate the speed of the particle at time $t=\tau$ (assume that the particle is at origin, at $t=0$).

The right bodies $A$ and $B$ of masses $2\text{kg}$ and $4\text{kg}$ respectively are rigidly connected to a spring of the constant $400\text{N/m}$. The body $B$ rests on a horizontal table, from the rest position, the body $A$ is compressed by $2\text{cm}$ and then released. Find the frequency of oscillation.

How to study p block

A particle revolves round a circular path. The acceleration of the particle is

Two bombs $A$ and $B$ are projected in air. $A$ is thrown with a speed of $30\text{m/s}$ and $B$ with a speed of $40\text{m/s}$ as shown in the figure. What is the separation between them after $t\text{s}$ ?

The kinetic energy k of a particle moving along a circle of radius R depends on the distance covered s as k=a$s^2$ where a is a constant. The force acting on the particle is

A metallic plate of thickness (t) and face area of one side (A) is inserted between the plates of a parallel plate air capacitor with a separation (d) and face area (A). Then the equivalent capacitance is :

If $5\text{J}$ amount of work is required to rotate a current carrying magnetic coil in a uniform magnetic field by ${60}^{\circ }$, from a position parallel to the field. What is the torque required to maintain it in the new position.

Consider the circuit shown in the figure below.







The clock frequency applied to the circuit is equal to 1 MHz. Assume the circuit to be set at 000 at t = 0 sec, the time duration for which the LED will glow till $t=3\mu s$ is equal to ______$\mu s$.

The average kinetic energy of a gas molecule at ${27}^{\circ }$ is $6.21\times {10}^{-21}J.$ The average kinetic energy at ${227}^{\circ }$ will be

An electric current of $8\text{A}$ exists in a metal wire of cross section ${10}^{-4}{\text{m}}^2$ and length $2\text{m}$. The drift speed of the free electrons in the wire will be (Given $n=5\times {10}^{28}{\text{m}}^{–3})$

A body of mass $2\text{kg}$ is thrown vertically up with kinetic energy of $500\text{J}$. What will be height at which the kinetic energy of the body becomes ${\frac{2}{3}}^{rd}$ of original value? $(g=10{\text{m/s}}^2)$

The length of a sonometer wire is $1.21\text{m}$. It is divided into three segments. What should be the lengths of the three segments for their fundamental frequencies to be in the ratio $1:2:3$?

Unpolarized light of intensity $32W{m}^{-2}$ passes through three polarisers such that the transmission axis of the last polarizer is perpendicular to that of the first. The intensity of final emerging light is $3W{m}^{-2}$. The angle between the transmission axes of the first two polarizers will

For the given AC RLC circuit, at a particular frequency of the AC source, if the rms current in the circuit is $5\text{A}$, find the total power supplied by the source.

A transistor is used in a common-emitter mode in an amplifier circuit. When a single input voltage of $20\text{mV}$ is added to the base emitter voltage, the base current changes by $20\mu A$ and the collector current changes by $2mA$. The load resistor is $5k\Omega$. What is the value of current gain $\left(\beta \right)$?

The magnitude of a given vector with end points (4, -4, 0) and (-2, -2, 0) must be

A ball is thrown vertically upward from a height of $40\text{m}$ and hits the ground with a speed that is three times it's initial speed. What is the time taken (in sec.) for the fall?

For the circuit shown in the following diagram, What is the value of

1. current through 6$\Omega$ resistor?

2. potential difference across 12$\Omega$ ? [3 MARKS]

Statement I: An isolated neutron can spontaneously convert itself into a proton, while an isolated proton can't spontaneously convert itself into a neutron.

Statement II: Any process, in which the mass of the products is higher than the mass of the reactants, is not favorable.