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The edge length of a face centered cubic cell of an ionic substance is 508 pm. If the radius of the cation is 110 pm, the radius of the anion is

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A thin uniform rod of length l and mass m is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is $ω$. Its centre of mass rises to a maximum height of

A working transistor with its three legs marked P, Q and R is tested using a multimeter. No conduction is found between P and Q. By connecting the common (negative) terminal of the multimeter to R and the other (positive) terminal to P or Q, some resistance is seen on the multimeter. Which of the following is true for the transistor ?

Let a, b, c be such that $b(a+c)=0$. If $∣aa+1a−1−+1b−1−1c+1∣+∣∣ a+1b+1c−1a−1b−1c+1(−1)_{n+2}a(−1)_{n+1}b(−1)_{n}c∣∣ =0$then the value of n is

The two functional groups present in a typical carbohydrate are

In which of the following arrangements, the sequence is not strictly according to the property written against it ?

Statement-I: For a mass M kept at the centre of a cube of side gravitational field passing through its sides is $4π$ GM. And Statement-II : If the direction of a field due to a point source is radial and its dependence on the distance 'r' for the source is given as $1/r_{2}$, its flux through a closed surface depends only on the strength of the source enclosed by the surface and not on the size or shape of the surface.

The magnitude of the magnetic field (B) due to loop ABCD at the origin (O) is

For the hyperbola $cos_{2}αx_{2} −sin_{2}αy_{2} =1$, which of the following remains constant when $α$varies?