MCQ
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : Time period of a simple pendulum is longer at the top of a mountain than that at the base of the mountain.
Reason (R): Time period of a simple pendulum decreases with increasing value of acceleration due to gravity and vice-versa.
In the light of the above statements, choose the most appropriate answer from the options given below:
  • A
    Both (A) and ( $\mathbf{R}$ ) are true but ( $\mathbf{R}$ ) is not the correct explanation of $(\mathbf{A})$.
  • Both (A) and (R) are true and (R) is the correct explanation of (A).
  • C
    (A) is true but (R) is false.
  • D
    (A) is false but (R) is true.

Answer

Correct option: B.
Both (A) and (R) are true and (R) is the correct explanation of (A).
(B)
Sol.
As $h$ increases, $g$ decreases, $T$ increases
$T =2 \pi \sqrt{\frac{\ell}{g}}$
$g=\frac{g_0 R^2}{(R+h)^2}$

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

Similar questions

From the photoelectric effect experiment, following observations are made. Identify which of these are correct

$A.$ The stopping potential depends only on the work function of the metal.

$B.$ The saturation current increases as the intensity of incident light increases.

$C.$ The maximum kinetic energy of a photo electron depends on the intensity of the incident light.

$D.$ Photoelectric effect can be explained using wave theory of light.

Choose the correct answer from the options given below:

A short linear object of length $l$ lies along the axis of a concave mirror of focal length $f$ at a distance $u$ from the pole of the mirror. The size of the image is approximately equal to
Ten charges are placed on the circumference of a circle of radius $R$ with constant angular separation between successive charges. Alternate charges $1,3,5,7,9$ have charge $(+q)$ each, while $2,4,6,8,10$ have charge $(-q)$ each. The potential $V$ and the electric field $E$ at the centre of the circle are respectively

(Take $V =0$ at infinity $)$

Assume that a block of very low shear modulus is fixed on an inclined plane as shown. Due to elastic forces it will deform. What will be the shape of the block ?
The primary winding of a transformer has $100$ turns and its secondary winding has $200$ turns. The primary is connected to an ac supply of $120 \,V$ and the current flowing in it is $10\, A$. The voltage and the current in the secondary are
As shown in the schematic below, a rod of uniform cross-sectional area $A$ and length $l$ is carrying a constant current $i$ through it and voltage across the rod is measured using an ideal voltmeter. The rod is stretched by the application of a force $F$. Which of the following graphs would show the variation in the voltage across the rod as function of the strain $\varepsilon$ when the strain is small. Neglect Joule heating.
The magnetic flux linked with a coil is given by an equation $\phi $ (in webers) = $8{t^2} + 3t + 5$. The induced $e.m.f$. in the coil at the fourth second will be.......$units$
Gravitational force between two identical uniform solid gold spheres of radius r reach in contact is proportional to
Amplitude of a wave is represented by $A = \frac{c}{{a + b - c}}$ Then resonance will occur when
Imagine a world where free magnetic charges exist. In this world, a circuit is made with a $U$-shape wire and a rod free to slide on it. A current carried by free magnetic charges can flow in the circuit. When the circuit is placed in a uniform electric field $E$ perpendicular to the plane of the circuit and the rod is pulled to the right with a constant speed $v$, the magnetic emf in the current and the direction of the corresponding current, arising because of changing electric flux will be ( $l$ is the length of the rod and $c$ is speed of light)