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In a circus stuntman rides a motorbike in a circular track of radius $R$ in the vertical plane. The minimum speed at highest point of track will be:
A vibration magnetometer placed in a magnetic meridian has a small bar magnet. The magnet executes oscillations with a time period of 2 s in earth's horizontal magnetic field of $24\ \mu\text{T}$. When a horizontal field of $18\ \mu\text{T}$ is produced opposite to the earth's field by placing a current-carrying wire, the new time period of the magnet will be:
The venturi-meter works on:
The magnetic moment of a diamagnetic atom is:
A particle moves with a velocity $(5\hat i-3\hat j+6\hat k)\text{ ms}^{-1}$ horizontally under the action of a constant force $(10\hat i+10\hat j+20\hat k)\text{ N}$. The instantaneous power supplied to the particle is:
In water hyacinth and water lily, pollination takes place by :
A bar magnet is hung by a thin cotton thread in a uniform horizontal magnetic field and is in the equilibrium state. The energy required to rotate it by $60^\circ$ is $W$. Now the torque required to keep the magnet in this new position is:
Curie temperature is the temperature above which:
Above Curie temperature:
When a body moves with a constant speed along a circle
Two similar springs $P$ and $Q$ have spring constants $k_P$ and $k_Q$, such that $k_P > k_Q$. They are stretched, first by the same amount (case a), then by the same force (case b). The work done by the springs $W_P$ and $W_Q$ are related as, in case (a) and case (b), respectively:
A uniform force of $(3\hat{i} + \hat{j})$ N acts on a particle of mass 2 kg. The particle is displaced from the position $(2\hat{i} + \hat{k})$ m to the position $(4\hat{i} + 3\hat{j} - \hat{k})$ m. The work done by the force on the particle is:
The relation amongst the three elements of Earth's magnetic field, namely horizontal component $H$, vertical component $V$ and dip angle $\delta$ is: ($B_E$ = total magnetic field):
A particle is displaced through $(3\hat i+4\hat j)\text{ m}$ by force $2\hat i\text{ N}$. The work done is:
Match List-I with List-II: | List-I (IUPAC official name) | List-II (IUPAC Symbol) | | :--- | :--- | | A. Mendelevium | I. Mt | | B. Meitnerium | II. Mc | | C. Moscovium | III. No | | D. Nobelium | IV. Md |
Given below are two statements: Assertion (A): Gauss's law for magnetism states that the net magnetic flux through any closed surface is zero. Reason (R): The magnetic monopoles do not exist. North and South poles occur in pairs, allowing vanishing net magnetic flux through the surface.
Sucrose on hydrolysis gives:
In a U-tube, as shown in the figure, the water and oil are in the left side and right side of the tube respectively. The height of the water and oil columns are 15 cm and 20 cm respectively. The density of the oil is: [take ρ_water = 1000 kg/m^3]
A body of mass $M$ at rest explodes into three pieces, two of which of mass $M/4$ each are thrown off in perpendicular directions with velocities of $3 \text{ m/s}$ and $4 \text{ m/s}$ respectively. The third piece will be thrown off with a velocity of:
A tuning fork is used to produce resonance in a glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of $27^\circ\text{C}$, two successive resonances are produced at $20 \text{ cm}$ and $73 \text{ cm}$ column length. If the frequency of the tuning fork is $320 \text{ Hz}$, the velocity of sound in air at $27^\circ\text{C}$ is: